Fermilab Core Computing Division
Library Home | Ask a Librarian library@fnal.gov | Book Catalog | Library Journals | Requests | SPIRES | Fermilab Documents |
Fermilab Library |
Call number: | 9789462392403:ONLINE Show nearby items on shelf |
Title: | Topics in Modern Differential Geometry |
Author(s): | |
Date: | 2017 |
Size: | 1 online resource (VII, 284 p. 30 illus., 4 illus. in color p.) |
Contents: | 1.The Riemannian and Lorentzian Splitting Theorems -- 2.Periodic trajectories of dynamical systems having a one-parameter group of symmetries -- 3.Geometry and Materials -- 4.On deciding whether a submanifold is parabolic or |
hyperbolic using its mean curvature -- 5.Contact Forms in Geometry and Topology -- 6.Farkas and Janos Bolyai -- 7.Spectrum Estimates and Applications to Geometry -- 8.Variational problems on curves -- 9.Special Submanifolds in | |
Hermitian Manifolds -- 10.An introduction to certain topics on Lorentzian geometry | |
ISBN: | 9789462392403 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Mathematics , Differential geometry , Mathematics , Differential Geometry |
Availability: | Click
here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | 9781608070480:ONLINE Show nearby items on shelf |
Title: | Discrete oscillator design |
Author(s): |
Randall W. Rhea |
Date: | 2010 |
Publisher: | Artech House |
Size: | 1 online resource (450 p.) |
Contents: | Chapter 1 Linear Techniques -- Open-Loop Method -- Match Requirements -- Aligning the Maximum Phase Slope -- Stable Amplifier -- Gain Peak at Phase Zero Intersection -- Moderate Gain -- Random Resonator and Amplifier Combination -- Naming Convention s -- Amplifiers for Sustaining Stages -- Bipolar Amplifier Configurations -- Stabilizing Bipolar Amplifiers -- Stabilized FET Amplifier Configurations -- Basic Common Emitter Amplifier -- Statistical Analysis of the Amplifier -- Amplifier with Resistive F eedback -- General-Purpose Resistive-Feedback Amplifier -- Transformer-Feedback Amplifiers -- Monolythic Microwave Integrated Circuit Amplifiers -- Differential Amplifiers -- Phase-Lead Compensation -- Resonators -- R-C Phase Shift Network -- Delay-Line P hase-Shift Network -- L-C Parallel and Series Resonators -- Loaded Q . Unloaded Q -- Resonator Loss -- Colpitts Resonator -- Resonator Coupling -- Matching with the Resonator -- Measuring the Unloaded Q -- Coupled Resonator Oscillator Example -- Resonator Summary -- One-Port Method -- Negative-Resistance Oscillators -- Negative-Conductance Oscillators -- Analyzing Existing Oscillators -- Optimizing the Design |
Chapter 2 Nonlinear Techniques -- Harmonic Balance -- Nonlinear Amplifiers -- Quiescent Current and Compression -- Impedance Shift -- Phase Shift -- Output Spectrum -- Time Domain Waveform -- Conversion Efficiency -- Operating Class -- Nonlinear Ope n-Loop Cascade -- Nonlinear HB Colpitts -- Closing the Loop and Excitation -- Harmonic Balance Colpitts Output Spectrum -- Excitation Current Versus Oscillator Parameters -- Nonlinear Negative-Resistance Oscillator -- Output Coupling -- Coupling Node -- L oad Pulling -- Loaded Q and Load Pulling -- Degree of Coupling -- Loaded Q and Coupling -- Coupling Reactance and Load Pulling -- Coupling Reactance and Harmonics -- Output Coupling Example 2 -- Passive Level Control -- Supply Pushing -- Spurious Modes -- Unstable Amplifiers -- Multiple Phase Zero Crossings -- Parametric Modes -- Multiple Resonance Modes -- Chapter 3 Transient Techniques -- Starting Modes -- Noise Mode of Starting -- Tansient Mode of Starting -- Time Constant of the Supply Step -- Simulat ion Techniques -- SPICE -- Cayenne -- Triggering -- Simulation Techniques for High Loaded Q -- Steady-State Oscillator Waveforms -- Clapp Oscillator Waveforms -- The Resonator Voltage -- Varactor Coupling -- Waveform Derived Output Spectrum | |
Chapter 4 Noise -- Vector Representation of the Oscillator Output -- Jitter -- The Output in the Frequency Domain -- SSB Phase Noise -- Residual FM and Residual PM -- Two-Port Noise -- Acoustic Disturbances -- Predicting Phase Noise -- Linear Time I nvariant Theory -- Extensions to LTI-Based Theory -- Linear Time Variant Theory -- Measuring Phase Noise -- Direct Method with a Spectrum Analyzer -- Selective Receiver Method -- Heterodyne/Counter Method -- Reference Oscillator Method -- Frequency Discri minator Method -- Example Phase-Noise Measurement System -- Designing for Low Phase Noise -- Estimating the Predominant Noise Source -- Reducing Leeson Noise -- Reducing Pushing Induced Noise -- Reducing Buffer Noise -- Reducing Varactor Modulation Noise -- PLL Noise -- Chapter 5 General-Purpose Oscillators -- Oscillators Without Resonators -- R-C Oscillators -- Wien Bridge -- Multivibrators -- Ring Oscillators -- Twin-T Oscillators -- L-C Oscillators -- Colpitts -- Clapp -- Seiler -- Hartley -- Pierce -- Coupled Series Resonator -- Rhea -- Coupled Parallel Resonator -- Gumm -- Oscillator Topology Selection | |
Chapter 6 Distributed Oscillators -- Resonator Technologies -- Lumped and Distributed Equivalents -- Quarter-Wavelength Resonators -- Ceramic-Loaded Coaxial Resonators -- Capacitor-Loaded Quarter-Wavelength Resonator -- Distributed Oscillator Exampl es -- Negative-Resistance Hybrid Oscillator -- Negative-Resistance High-Power 1 GHz Oscillator -- Quarter-Wavelength Hybrid Oscillator -- Simple Hybrid Coaxial Resonator MMIC -- Probe-Coupled Coaxial Resonator Bipolar -- End-Coupled Hybrid Half-Wavelength Bipolar -- Helical Transmission Line Resonator Bipolar -- DRO Oscillators -- Dielectric Resonator Basic Properties -- Dielectric Resonator Resonant Frequency -- Dielectric Resonator Unloaded Q -- Dielectric Resonator Coupling -- Chapter 7 Tuned Oscillato rs -- Resonator Tuning Bandwidth -- Resonator Voltage -- Permeability Tuning -- Tunable Oscillator Examples -- Permeability Tuned Colpitts JFET -- Vackar JFET VCO -- Hybrid Negative Resistance VCO -- Capacitor-Transformed Negative-Resistance VCO -- Negati ve-Resistance VCO with Transformer -- Negative-Conductance VCO -- Hybrid Coaxial Resonator MMIC -- Loaded Quarter-Wavelength MMIC -- Seiler Coaxial-Resonator CC VCO -- YIG Oscillators | |
Chapter 8 Piezoelectric Oscillators -- Bulk Quartz Resonators -- Quartz Blank Cuts -- Crystal Resonator Model -- Calculating Crystal Resonator Parameters -- Crystal Resonator Frequency Pulling -- Inverted-Mesa Crystal Resonators -- Crystal Oscillato r Operating Mode -- Crystal Oscillator Frequency Accuracy -- Temperature Effects on Crystal Oscillators -- Crystal Resonator Drive Level -- Crystal Resonator Spurious Modes -- Crystal Resonator Aging -- Crystal Resonator Noise -- Crystal Resonator Acceler ation Effects -- Crystal Resonator Standard Holders -- Fundamental Mode Crystal Oscillators -- Miller JFET Crystal -- Colpitts Bipolar Crystal -- Colpitts JFET Crystal -- Pierce Bipolar Crystal -- Pierce MMIC Crystal -- Pierce Inverter TTL Crystal -- Pier ce Inverter CMOS Crystal -- Butler Dual Bipolar Crystal -- Driscoll Bipolar Crystal -- Inverted-Mesa Pierce Bipolar Crystal -- Overtone Mode Crystal Oscillators -- Colpitts Overtone Bipolar Crystal -- CB Butler Overtone Bipolar Crystal -- CC Butler Overt one Bipolar Crystal -- Oscillator with Frequency Multiplier -- Crystal Oscillator Starting -- Surface Acoustic Wave Resonators -- SAW Resonator Models -- SAW Resonator Frequency Stability -- SAW Oscillators -- SAW 1-Port Colpitts Bipolar -- SAW 1-Port But ler Bipolar -- SAW 2-Port Pierce MMIC -- Piezoelectric Ceramic Resonators -- Ceramic Resonator Models -- Ceramic Resonator Accuracy and Stability -- Ceramic Resonator Oscillators -- MEMS and FBAR Resonators | |
ISBN: | 9781608070473 |
Series: | Artech house microwave library |
Series: | eBooks |
Series: | Artech eBooks |
Keywords: | Harmonic oscillators, Design. , Oscillators, Electric, Design. |
Availability: | Click
here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | 9781596931282:ONLINE Show nearby items on shelf |
Title: | Designing bipolar transistor radio frequency integrated circuits |
Author(s): |
Allen A. Sweet |
Date: | 2008 |
Publisher: | Artech House |
Size: | 1 online resource (317 p.) |
Contents: | Chapter 1 Introduction -- Chapter 2 Applications . Cellular-PCS Handsets and Infrastructure -- WLANs -- Bluetooth -- UWB -- WiMax -- Digital TV and Set-Top Boxes -- Cognitive Radio -- Spectrum Allocation in the United States -- Physical Layer Standa rds -- Chapter 3 RFIC Architectures . IQ Receivers -- IQ Modulators -- Nonzero IF Receivers -- Zero IF Receivers -- Differential versus Single-Ended Topologies -- Chapter 4 InGaP GaAs HBT Fabrication Technology -- Transistor Structures -- Device Models -- Passive Structures, Electrical Models, and Layout Design Rules -- Microstrip Lines -- TFR Resistors -- M1-to-M2 Vias -- MIM Capacitors -- Substrate Vias -- Bonding Pads -- Crossover Capacitances -- Spiral Inductors -- Transistor Dummy Cells -- Significan t Layout Parasitic Elements -- Simple Layout Example -- Maximum Electrical Ratings -- CAD Layout Tools -- Chapter 5 SiGe HBT Fabrication Technology and Transistor Structures -- Transistor Device Models -- Passive Device Structures and Models -- Design Rul es -- CAD Layout -- Chapter 6 Passive Circuit Design -- Filters - Low Pass, High Pass, Band Pass, and Differential -- Technology and Substrates . Splitters and Dividers -- Phase Shifters and Baluns -- Chapter 7 Amplifier Design Basics -- Matching Techniqu es -- Gain Compensation -- Fano.s Limit -- Stability -- Noise Match -- Differential Amplifiers -- Cascode Amplifiers |
Chapter 8 Low-Noise Amplifier Design -- Noise Figure Concepts -- Noise Temperature -- Front-end Attenuation and LNAs -- Multistage Noise Figure Contributions -- Circuit Topologies for Low Noise -- Single-Ended PCS LNA -- Three-Transistor Hybrid Darl ington Differential LNA Using SiGe Technology -- Chapter 9 Power Amplifier Design -- Loadline Concepts -- Maximum Power and Efficiency -- Class AB Power Amplifiers -- Nonlinear Performance Metrics -- Adjacent Channel Power Ratio -- Error Vector Magnitude -- Circuit Topologies for PAs -- Matching Circuit Options -- Stability -- Bias Circuits -- Wideband Gain Block Darlington Amplifier -- Feedback Power Amplifier Design -- Chapter 10 Designing Multistage Amplifiers -- Multistage LNAs -- Multistage Power Amp lifiers -- Gain and Power Allocations -- Active Device Sizing -- Differential PCS PA -- Chapter 11 Mixer Modulator Design -- Mixer Basics -- Diode Mixers -- Single-Balanced Active Multiplying Mixers -- Fully Balanced Active Multiplying Mixers (Gilbert cel l) -- IQ Mixers -- IQ Modulators . Cellular-PCS Downconverting Mixer RFIC -- Chapter 12 Frequency Multiplier Design -- Frequency Doublers -- Frequency Triplers -- Frequency Translators | |
Chapter 13 Voltage-Controlled Oscillator Design -- Varactor Diode Basics -- Negative-Resistance Concepts -- Types of Resonators -- Feedback Circuit Topologies for Producing Negative Resistance -- Negative-Resistance Oscillator Circuits -- Colpitts O scillator Circuit -- Frequency-Temperature Stability -- Phase Noise -- Quadrature Phase-Shifting Networks -- Ring Oscillators -- Electronic Tuning and a Differential VCO Topology -- Chapter 14 Layout Design Strategies -- Minimum Area -- On-Chip versus Of f-Chip Component Decisions -- Minimizing Parasitics -- Testability -- Types of CAD Systems -- Foundry Comparison -- Reticle Assembly -- Chapter 15 RFIC Economics -- Levels of Integration -- Single-Ended versus Differential Topologies -- Process Technology Choices -- Area versus Performance Trade-offs -- Electrical Yield -- Prototype Costs -- Production Costs | |
ISBN: | 9781596931282 |
Series: | Artech House microwave library |
Series: | eBooks |
Series: | Artech eBooks |
Keywords: | Radio frequency integrated circuits. |
Availability: | Click
here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2016-9784431560210:ONLINE Show nearby items on shelf |
Title: | Geometry and Topology of Manifolds 10th China-Japan Conference 2014 |
Author(s): | |
Date: | 2016 |
Size: | 1 online resource (10 p.) |
Note: | 10.1007/978-4-431-56021-0 |
ISBN: | 9784431560210 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Springer Proceedings in Mathematics & Statistics: 154 |
Keywords: | Mathematics , Partial differential equations , Differential geometry , Manifolds (Mathematics) , Complex manifolds , Mathematics , Differential Geometry , Manifolds and Cell Complexes (incl. Diff.Topology) , Partial Differential Equations |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2016-9783658106331:ONLINE Show nearby items on shelf |
Title: | Manifolds, Sheaves, and Cohomology |
Author(s): |
Torsten Wedhorn |
Date: | 2016 |
Size: | 1 online resource (354 p.) |
Note: | 10.1007/978-3-658-10633-1 |
Contents: | Topological Preliminaries -- Algebraic Topological Preliminaries -- Sheaves -- Manifolds -- Local Theory of Manifolds -- Lie Groups -- Torsors and Non-abelian Cech Cohomology -- Bundles -- Soft Sheaves -- Cohomology of Complexes of Sheaves -- Cohom ology of Sheaves of Locally Constant Functions -- Appendix: Basic Topology, The Language of Categories, Basic Algebra, Homological Algebra, Local Analysis |
ISBN: | 9783658106331 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Category theory (Mathematics) , Homological algebra , Topological groups , Lie groups , Global analysis (Mathematics) , Manifolds (Mathematics) , Differential geometry , Mathematics , Category Theory, Homological Algebra , Topological Groups, Lie Groups , Differential Geometry , Global Analysis and Analysis on Manifolds |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2016-9783319313382:ONLINE Show nearby items on shelf |
Title: | Essays in Mathematics and its Applications In Honor of Vladimir Arnold |
Author(s): | |
Date: | 2016 |
Size: | 1 online resource (22 p.) |
Note: | 10.1007/978-3-319-31338-2 |
Contents: | A new way to compute the Rodrigues coefficients of functions of the Lie groups of matrices (D. Andrica, O.L. Chender) -- Quasimodes in integrable systems and semi-classical limit (M. Baldo, F. Raciti) -- Manifolds which are complex and symplectic bu t not Kahler (G. Bazzoni, V. Munoz) -- Solvability of a non clamped frictional contact problem with adhesion (O. Chau, D. Goeleven, R. Oujja) -- The Kolmogorov-Arnold-Moser (KAM) and Nekhoroshev Theorems with Arbitrary Time Dependence (A. Fortunati, S. Wi ggins) -- Iterative Methods for the Elastography Inverse Problem of Locating Tumors (B. Jadamba, A.A. Khan, F. Raciti, C. Tammer, B. Winkler) -- Transversality theory with applications to differential equations (D. Motreanu, V.V. Motreanu) -- Lattice-like subsets of Euclidean Jordan algebras (A.B. Nemeth, S.Z. Nemeth) -- Simultaneous Diophantine approximation: Searching for analogues of Hurwitz’ theorem (W.G. Nowak) -- On the fixed points of a Hamiltonian diffeomorphism in presence of |
fundamental group (K. Ono, A. Pajitnov) -- Some Generalizations of Fixed Point Theorems on S-Metric Spaces (N.Y. Ozgur, N.A. Tas) -- Functional Inequalities in Banach Spaces and Fuzzy Banach Spaces (C. Park, J.R. Lee, T.M. Rassias) -- The Maslov Ind ex in PDEs Geometry (A. Prastaro) -- On the infimum of certain functionals (B. Ricceri) -- The Algebra of Gyrogroups: Cayley Theorem, Lagrange Theorem, and Isomorphism Theorems (T. Suksumran) -- Mild continuity properties of relations and relators in rela tor spaces (A. Szaz, A. Zakaria) -- Contraction Maps in Pseudometric Structures (M. Turinici) -- Novel Tools to Determine Hyperbolic Triangle Centers (A.A. Ungar) | |
ISBN: | 9783319313382 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Dynamics , Ergodic theory , Global analysis (Mathematics) , Manifolds (Mathematics) , Algebraic topology , Complex manifolds , Mathematics , Dynamical Systems and Ergodic Theory , Algebraic Topology , Manifolds and Cell Complexes (incl. Diff.Topology) , Global Analysis and Analysis on Manifolds |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2014-9783642310317:ONLINE Show nearby items on shelf |
Title: | Vladimir I. Arnold - Collected Works [electronic resource] : Hydrodynamics, Bifurcation Theory, and Algebraic Geometry 1965-1972 |
Author(s): |
Vladimir I Arnold Alexander B Givental Boris A Khesin Alexander N Varchenko Victor A Vassiliev Oleg Ya Viro |
Date: | 2014 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Vladimir Arnold was one of the great mathematical scientists of our time. He is famous for both the breadth and the depth of his work. At the same time he is one of the most prolific and outstanding mathematical authors. Thissecond volume of his Coll ected Works focuses on hydrodynamics, bifurcation theory, and algebraic geometry |
Contents: | 1 Variational principle for three |
dimensional steady | |
state flows of an ideal fluid | |
2 On the Riemann curvature of diffeomorphism groups | |
3 Sur la topologie des coulements stationnaires des fluides parfaits (in French) | |
4 Conditions for non | |
linear stability of stationary plane curvilinear flows of an ideal fluid | |
5 On the topology of three | |
dimensional steady flows of an ideal fluid | |
6 On an a priori estimate in the theory of hydrodynamical stability | |
7 On the differential geometry of infinite | |
dimensional Lie groups and its application to the hydrodynamics of perfect fluids | |
8 On | |
ISBN: | 9783642310317 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Vladimir I. Arnold - Collected Works : v2 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Geometry, algebraic , Mathematical physics |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2014-9783319096803:ONLINE Show nearby items on shelf |
Title: | Topology [electronic resource] : An Introduction |
Author(s): |
Stefan Waldmann |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This book provides a concise introduction to topology and is necessary for courses in differential geometry, functional analysis, algebraic topology, etc. Topology is a fundamental tool in most branches of pure mathematics and isalso omnipresent in m ore applied parts of mathematics. Therefore students will need fundamental topological notions already at an early stage in their bachelor programs. While there are already many excellent monographs on generaltopology, most of them are too large for a fir st bachelor course. Topology fills this gap and can be either used for self-study or as the basis of a topology course |
Contents: | Introduction |
Topological Spaces and Continuity | |
Construction of Topological Spaces | |
Convergence in Topological Spaces | |
Compactness | |
Continuous Functions | |
Baires Theorem | |
ISBN: | 9783319096803 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Topology |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2014-9783319070346:ONLINE Show nearby items on shelf |
Title: | Differential Characters [electronic resource] |
Author(s): |
Christian Br Christian Becker |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | Providing a systematic introduction to differential characters as introduced by Cheeger and Simons, this text describes important concepts such as fiber integration, higher dimensional holonomy, transgression, and the productstructure in a geometric manner. Differential characters form a model of what is nowadays called differential cohomology, which is the mathematical structure behind the higher gauge theories in physics. |
Contents: | Differential Characters and Geometric Chains |
Relative differential Cohomology | |
Index | |
ISBN: | 9783319070346 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Lecture Notes in Mathematics, 0075-8434 : v2112 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global differential geometry , Algebraic topology |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2014-9783319045641:ONLINE Show nearby items on shelf |
Title: | Towards the Mathematics of Quantum Field Theory [electronic resource] |
Author(s): |
Frdric Paugam |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | The aim of this book is to introduce mathematicians (and, in particular, graduate students) to the mathematical methods of theoretical and experimental quantum field theory, with an emphasis on coordinate-free presentations of themathematical objects in play. This should in turn promote interaction between mathematicians and physicists by supplying a common and flexible language for the good of both communities, even if the mathematical one is the primarytarget. This reference work provides a coheren t and complete mathematical toolbox for classical and quantum field theory, based on categorical and homotopical methods, representing an original contribution to the literature. The firstpart of the book introduces the mathematical methods needed to work with the physicists' spaces of fields, including parameterized and functional differential geometry, functorial analysis, and the homotopical geometric theory ofnon-linear partial differential equations, with applications to general gauge theories. The s econd part presents a large family of examples of classical field theories, both from experimental and theoretical physics, while the thirdpart provides an introduction to quantum field theory, presents various renormalization methods, and discusses the q uantization of factorization algebras. The book is primarily intended for pure mathematicians (and in particulargraduate students) who would like to learn about the mathematics of quantum field theory |
Contents: | Introduction |
Mathematical Preliminaries | |
Classical Trajectories and Fields | |
Quantum Trajectories and Fields | |
Appendices | |
ISBN: | 9783319045641 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 0071-1136 : v59 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebra , Algebraic topology |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2014-9783319042145:ONLINE Show nearby items on shelf |
Title: | Analysis and Topology in Nonlinear Differential Equations [electronic resource] : A Tribute to Bernhard Ruf on the Occasion of his 60th Birthday |
Author(s): |
Djairo G Figueiredo Joo Marcos do Carlos Tomei |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | This volume is a collection of articles presented at the Workshop for Nonlinear Analysis held in Joo Pessoa, Brazil, in September 2012. The influence of Bernhard Ruf, to whom this volume is dedicated on the occasion of his 60thbirthday, is perceptibl e throughout the collection by the choice of themes and techniques. The many contributors consider modern topics in the calculus of variations, topological methods and regularity analysis, together with novelapplications of partial differential equations. In keeping with the tradition of the workshop, emphasis is given to elliptic operators inserted in different contexts, both theoretical and applied. Topics include semi-linear and fullynonlinear equations and systems with different nonlinearities, at sub - and supercritical exponents, with spectral interactions of Ambrosetti-Prodi type. Also treated are analytic aspects as well as applications such as diffusionproblems in mathematical genetics and finance and evolution equations related to electromechanic al devices |
Contents: | Preface |
Asymptotic Behavior of Sobolev Trace Embeddings in Expanding Domains | |
Multiplicity of Positive Solutions for an Obstacle Problem in R | |
Elliptic Problems in Unbounded Cylinders | |
Basic Properties of Ultra functions | |
Multiple Radial Solutions at Resonance for Neumann Problems Involving the Mean Extrinsic Curvature Operator | |
Equivariant Bifurcation in Geometric Variational Problems | |
And many more | |
ISBN: | 9783319042145 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Progress in Nonlinear Differential Equations and Their Applications : v85 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Mathematical optimization , Topology |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2014-9783319017365:ONLINE Show nearby items on shelf |
Title: | A Differential Approach to Geometry [electronic resource] : Geometric Trilogy III |
Author(s): |
Francis Borceux |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This book presents the classical theory of curves in the plane and three-dimensional space, and the classical theory of surfaces in three-dimensional space. It pays particular attention to the historical development of the theoryand the preliminary a pproaches that support contemporary geometrical notions. It includes a chapter that lists a very wide scope of plane curves and their properties. The book approaches the threshold of algebraic topology, providingan integrated presentation fully accessible to undergraduate-level students. At the end of the 17th century, Newton and Leibniz developed differential calculus, thus making available the very wide range of differentiable functions,not just those constructed from polynomials. During the 18th centu ry, Euler applied these ideas to establish what is still today the classical theory of most general curves and surfaces, largely used in engineering. Enter thisfascinating world through amazing theorems and a wide supply of surprising examples. Reach the doors of algebraic topology by discovering just how an integer (= the Euler-Poincar characteristics) associated with a surface gives you alot of interesting information on the shape of the surface. And penetrate the intriguing world of Riemannian geometry , the geometry that underlies the theory of relativity. The book is of interest to all those who teach classicaldifferential geometry up to quite an advanced level. The chapter on Riemannian geometry is of great interest to those who have to intuitively introduce students to the highly technical nature of this branch of mathematics, inparticular when preparing students for courses on relativity |
Contents: | Introduction |
Preface | |
1.The Genesis of Differential Methods | |
2.Plane Curves | |
3.A Museum of Curves | |
4.Skew Curves | |
5.Local Theory of Surfaces | |
6.Towards Riemannian Geometry | |
7.Elements of Global Theory of Surfaces | |
Appendices: A.Topology | |
B.Differential Equations | |
Index | |
Bibliography | |
ISBN: | 9783319017365 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Geometry , Global differential geometry |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2014-9781447154969:ONLINE Show nearby items on shelf |
Title: | Morse Theory and Floer Homology [electronic resource] |
Author(s): |
Michle Audin Mihai Damian |
Date: | 2014 |
Publisher: | London : Springer London : Imprint: Springer |
Size: | 1 online resource |
Note: | This book is an introduction to modern methods of symplectic topology. It is devoted to explaining the solution of an important problem originating from classical mechanics: the 'Arnold conjecture', which asserts that the numberof 1-periodic trajecto ries of a non-degenerate Hamiltonian system is bounded below by the dimension of the homology of the underlying manifold. The first part is a thorough introduction to Morse theory, a fundamental tool ofdifferential topology. It defines the Morse complex a nd the Morse homology, and develops some of their applications. Morse homology also serves a simple model for Floer homology, which is covered in the second part. Floer homology isan infinite-dimensional analogue of Morse homology. Its involvement has bee n crucial in the recent achievements in symplectic geometry and in particular in the proof of the Arnold conjecture. The building blocks of Floer homology aremore intricate and imply the use of more sophisticated analytical methods, all of which are expla ined in this second part. The three appendices present a few prerequisites in differential geometry, algebraic topology and analysis. Thebook originated in a graduate course given at Strasbourg University, and contains a large range of figures and exercis es. Morse Theory and Floer Homology will be particularly helpful for graduate and postgraduate students |
Contents: | Introduction to Part I |
Morse Functions | |
Pseudo | |
Gradients | |
The Morse Complex | |
Morse Homology, Applications | |
Introduction to Part II | |
What You Need To Know About Symplectic Geometry | |
The Arnold Conjecture and the Floer Equation | |
The Maslov Index | |
Linearization and Transversality | |
Spaces of Trajectories | |
From Floer To Morse | |
Floer Homology: Invariance | |
Elliptic Regularity | |
Technical Lemmas | |
Exercises for the Second Part | |
Appendices: What You Need to Know to Read This Book | |
ISBN: | 9781447154969 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Universitext, 0172-5939 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Geometry , Global differential geometry , Algebraic topology , Cell aggregation Mathematics |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2013-9788847028357:ONLINE Show nearby items on shelf |
Title: | Spectral Theory and Quantum Mechanics [electronic resource] : With an Introduction to the Algebraic Formulation |
Author(s): |
Valter Moretti |
Date: | 2013 |
Publisher: | Milano : Springer Milan : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book pursues the accurate study of the mathematical foundations of Quantum Theories. It may be considered an introductory text on linear functional analysis with a focus on Hilbert spaces. Specific attention is given tospectral theory features t hat are relevant in physics. Having left the physical phenomenology in the background, it is the formal and logical aspects of the theory that are privileged. Another not lesser purpose is to collect in oneplace a number of useful rigorous statements on t he mathematical structure of Quantum Mechanics, including some elementary, yet fundamental, results on the Algebraic Formulation of Quantum Theories. In the attempt to reach out toMaster's or PhD students, both in physics and mathematics, the material is designed to be self-contained: it includes a summary of point-set topology and abstract measure theory, together with an appendix on differential geometry. Thebook should benefit established researchers to organise and present the profusion of advanced ma terial disseminated in the literature. Most chapters are accompanied by exercises, many of which are solved explicitly |
Note: | Springer eBooks |
Contents: | Introduction and mathematical backgrounds |
Normed and Banach spaces, examples and applications | |
Hilbert spaces and bounded operators | |
Families of compact operators on Hilbert spaces and fundamental properties | |
Densely | |
defined unbounded operators on Hilbert spaces | |
Phenomenology of quantum systems and Wave Mechanics: an overview | |
The first 4 axioms of QM: propositions, quantum states and observables | |
Spectral Theory I: generalities, abstract C | |
algebras and operators in B(H) | |
Spectral theory II: unbounded operators on Hilbert spaces | |
Spectral Theory III: applications | |
Mathem | |
ISBN: | 9788847028357 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | UNITEXT, 2038-5714 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global analysis (Mathematics) , Mathematical physics |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2013-9783642309588:ONLINE Show nearby items on shelf |
Title: | Encyclopedia of Distances [electronic resource] |
Author(s): |
Michel Marie Deza Elena Deza |
Date: | 2013 |
Edition: | 2nd ed. 2013 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This updated and revised second edition of the leading reference volume on distance metrics includes a wealth of new material that reflects advances in a field now regarded as an essential tool in many areas of pure and appliedmathematics. The publi cation of this volume coincides with intensifying research efforts into metric spaces and especially distance design for applications. Accurate metrics have become a crucial goal in computational biology, imageanalysis, speech recognition and information retrieval. Leaving aside the practical questions that arise during the selection of a good distance function, this work focuses on providing the research community with aninvaluable comprehensive listing of the main available distances. As well as provi ding standalone introductions and definitions, the encyclopedia facilitates swift cross-referencing with easily navigable bold-faced textual links tocore entries. In addition to distances themselves, the authors have collated numerous fascinating curiosit ies in their Whos Who of metrics, including distance-related notions and paradigms that enable applied mathematicians in othersectors to deploy research tools that non-specialists justly view as arcane. In expanding access to these techniques, and in many cases enriching the context of distances themselves, this peerless volume is certain to stimulate freshresearch |
Note: | Springer eBooks |
Contents: | Part I. Mathematics of Distances |
1 General Definitions | |
2 Topological Spaces | |
3 Generalization of Metric Spaces | |
4 Metric Transforms | |
5 Metrics on Normed Structures | |
Part II. Geometry and Distances | |
6 Distances in Geometry | |
7 Riemannian and Hermitian Metrics | |
8 Distances on Surfaces and Knots | |
9 Distances on Convex Bodies, Cones and Simplicial Complexes | |
Part III. Distances in Classical Mathematics | |
10 Distances in Algebra | |
11 Distances on Strings and Permutations | |
12 Distances on Numbers, Polynominals and Matrices | |
13 Distances in Functional Analysis | |
14 Dista | |
ISBN: | 9783642309588 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science Mathematics , Visualization , Geometry , Global differential geometry , Topology , Engineering mathematics |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2013-9783642307096:ONLINE Show nearby items on shelf |
Title: | Variational, Topological, and Partial Order Methods with Their Applications [electronic resource] |
Author(s): |
Zhitao Zhang |
Date: | 2013 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Nonlinear functional analysis is an important branch of contemporary mathematics. It's related to topology, ordinary differential equations, partial differential equations, groups, dynamical systems, differential geometry,measure theory, and more. In this book, the author presents some new and interesting results on fundamental methods in nonlinear functional analysis, namely variational, topological and partial order methods, which have been usedextensively to solve existence of solutions for ellipt ic equations, wave equations, Schrdinger equations, Hamiltonian systems etc., and are also used to study the existence of multiple solutions and properties of solutions. This bookis useful for researchers and graduate students in the field of nonlinear fu nctional analysis. Chapter 1 contains preliminaries. In Chapter 2, three kinds of operators are introduced: increasing operators, decreasing operators, andmixed monotone operators. In Chapter 3, the minimax methods are presented and in Chapter 4, the auth or uses bifurcation and critical point theory to study structures of the solutions of elliptic equations. Chapter 5 is concerned with aclass of MongeAmpre equations. In Chapter 6, the superlinear system of Hammerstein integral equations and applications i s studied. Chapter 7 is devoted to the DancerFucik spectrum. In Chapter 8, some results on sign-changingsolutions are introduced. In Chapter 9, a local minimizer problem of a functional in differential topology is studied. Chapter 10 focuses on a class of nonlocal Kirchhoff elliptic problems via different methods. In Chapter 11, thefocus is on free boundary problems, Schrdinger systems from BoseEinstein condensate and competing systems with many species |
Note: | Springer eBooks |
Contents: | 1 Preliminaries |
Sobolev spaces and embedding theorems | |
Critical point | |
Cone and partial order | |
Brouwer Degree | |
Compact map and Leray | |
Schauder Degree | |
Fredholm operators | |
Fixed point index | |
Banach's Contract Theorem, Implicit Functions Theorem | |
Krein | |
Rutman theorem | |
Bifurcation theory | |
Rearrangements of sets and functions | |
Genus and Category | |
Maximum principles and symmetry of solution | |
Comparison theorems | |
2 Cone and Partial Order Methods | |
Increasing operators | |
Decreasing operators | |
Mixed monotone operators | |
Applications of mixed monotone operators | |
Fur | |
ISBN: | 9783642307096 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Developments in Mathematics, 1389-2177 : v29 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Functional analysis |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2013-9783034806367:ONLINE Show nearby items on shelf |
Title: | Introduction to Mathematical Analysis [electronic resource] |
Author(s): |
Igor Kriz Ale Pultr |
Date: | 2013 |
Publisher: | Basel : Springer Basel : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The book begins at an undergraduate student level, assuming only basic knowledge of calculus in one variable. It rigorously treats topics such as multivariable differential calculus, theLebesgue integral, vector calculus anddifferential equations. Af ter having created a solid foundation of topology and linear algebra, the text later expands into more advanced topics such as complex analysis, differential forms, calculus of variations, differentialgeometry and even functional analysis. Overall, this t ext provides a unique and well-rounded introduction to the highly developed and multi-faceted subject of mathematical analysis as understood by mathematicians today |
Note: | Springer eBooks |
Contents: | Preface |
Introduction | |
Part 1. A Rigorous Approach to Advanced Calculus | |
1. Preliminaries | |
2. Metric and Topological Spaces I | |
3. Multivariable Differential Calculus | |
4. Integration I: Multivariable Riemann Integral and Basic Ideas toward the Lebesgue Integral | |
5. Integration II: Measurable Functions, Measure and the Techniques of Lebesgue Integration | |
6. Systems of Ordinary Differential Equations | |
7. System of Linear Differential Equations | |
8. Line Integrals and Green's Theorem | |
Part 2. Analysis and Geometry | |
9. An Introduction to Complex Analysis | |
10. Metric and Top | |
ISBN: | 9783034806367 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Matrix theory , Functions of complex variables , Differential Equations , Sequences (Mathematics) |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2013-9781461484684:ONLINE Show nearby items on shelf |
Title: | Rational Homotopy Theory and Differential Forms [electronic resource] |
Author(s): |
Phillip Griffiths John Morgan |
Date: | 2013 |
Edition: | 2nd ed. 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Rational homotopy theory is today one of the major trends in algebraic topology. Despite the great progress made in only a few years, a textbook properly devoted to this subject still was lacking until now The appearance ofthe text in book form is hi ghly welcome, since it will satisfy the need of many interested people. Moreover, it contains an approach and point of view that do not appear explicitly in the current literature. Zentralblatt MATH(Review of First Edition) The monograph is intended as a n introduction to the theory of minimal models. Anyone who wishes to learn about the theory will find this book a very helpful and enlightening one. There are plenty ofexamples, illustrations, diagrams and exercises. The material is developed with patienc e and clarity. Efforts are made to avoid generalities and technicalities that may distract the reader or obscure the main theme. The theory and itspower are elegantly presented. This is an excellent monograph. Bulletin of the American Mathematical Society (Review of First Edition) This completely revised and corrected version of the well-known Florence notes circulatedby the authors together with E. Friedlander examines basic topology, emphasizing homotopy theory. Included is a discussion of Postnikov to wers and rational homotopy theory. This is then followed by an in-depth look at differentialforms and de Thams theorem on simplical complexes. In addition, Sullivans results on computing the rational homotopy type from forms is presented. New to the Seco nd Edition: *Fully-revised appendices including an expandeddiscussion of the Hirsch lemma *Presentation of a natural proof of a Serre spectral sequence result *Updated content throughout the book, reflecting advances in the area of homotopy theory With i ts modern approach and timelyrevisions, this second edition of Rational Homotopy Theory and Differential Forms will be a valuable resource for graduate students and re |
Note: | Springer eBooks |
Contents: | 1 Introduction |
2 Basic Concepts | |
3 CW Homology Theorem | |
4 The Whitehead Theorem and the Hurewicz Theorem | |
5 Spectral Sequence of a Fibration | |
6 Obstruction Theory | |
7 Eilenberg | |
MacLane Spaces, Cohomology, and Principal Fibrations | |
8 Postnikov Towers and Rational Homotopy Theory | |
9 deRham's theorem for simplicial complexes | |
10 Differential Graded Algebras | |
11 Homotopy Theory of DGAs | |
12 DGAs and Rational Homotopy Theory | |
13 The Fundamental Group | |
14 Examples and Computations | |
15 Functorality | |
16 The Hirsch Lemma | |
17 Quillen's work on Rational Homotopy Theory | |
ISBN: | 9781461484684 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Progress in Mathematics, 0743-1643 : v16 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebra , Topology , Algebraic topology |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2013-9781461474227:ONLINE Show nearby items on shelf |
Title: | The Mathematical Structure of Classical and Relativistic Physics [electronic resource] A General Classification Diagram |
Author(s): |
Enzo Tonti |
Date: | 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The theoriesdescribing seemingly unrelated areas of physics have surprising analogies that have arousedthe curiosity of scientists and motivatedefforts toidentify reasons for their existence.Comparative study ofphysical theories has revealed the pres ence of a common topological and geometric structure. The Mathematical Structure of Classical and Relativistic Physicsis the first book to analyzethis structure in depth, thereby exposing therelationship between (a) global physical variables and (b) space and time elements such as points, lines, surfaces, instants, and intervals. Combining this relationship with the inner and outer orientation of space and time allows oneto construct a classification diagram for variables, equations, and other theoretical characteristics. The bookis divided into three parts. The first introduces the framework for the above-mentioned classification, methodicallydevelopingageometric and topologicalformulationapplicable to allphysical laws and properties the second applies t his formulation to a detailed study of particle dynamics, electromagnetism, deformable solids, fluid dynamics,heat conduction, and gravitation. The third part further analyses the general structure of the classification diagram for variables and equations of physical theories. Suitable for a diverse audience of physicists, engineers, andmathematicians, The Mathematical Structure of Classical and Relativistic Physics offers a valuable resource for studying the physical world. Written at alevel accessible t o graduate and advanced undergraduatestudents inmathematical physics, the book can be used as a research monograph across various areas of physics, engineering and mathematics, and as a supplemental text for a broad range of upper-level scientific coursew ork |
Note: | Springer eBooks |
Contents: | 1 Introduction |
Part I Analysis of variables and equations | |
2 Terminology revisited | |
3 Space and time elements and their orientation | |
4 Cell complexes | |
5 Analysis of physical variables | |
6 Analysis of physical equations | |
7 Algebraic topology | |
8 The birth of the classification diagrams | |
Part II Analysis of physical theories | |
9 Particle dynamics | |
10 Electromagnetism | |
11 Mechanics of deformable solids | |
12 Mechanics of fluids | |
13 Other physical theories | |
Part III Advanced analysis | |
14 General structure of the diagrams | |
15 The mathematical structure | |
Part IV Appen | |
ISBN: | 9781461474227 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Modeling and Simulation in Science, Engineering and Technology, 2164-3679 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Algebraic topology , Mathematical physics |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2013-9781447151227:ONLINE Show nearby items on shelf |
Title: | Real Analysis: Measures, Integrals and Applications [electronic resource] |
Author(s): |
Boris Makarov Anatolii Podkorytov |
Date: | 2013 |
Publisher: | London : Springer London : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Real Analysis: Measures, Integrals and Applications is devoted to the basics of integration theory and its related topics. The main emphasis is made on the properties of the Lebesgue integral and various applications bothclassical and those rarely co vered in literature. This book provides a detailed introduction to Lebesgue measure and integration as well as the classical results concerning integrals of multivariable functions. It examines theconcept of the Hausdorff measure, the properties of the a rea on smooth and Lipschitz surfaces, the divergence formula, and Laplace's method for finding the asymptotic behavior of integrals. The general theory is then applied toharmonic analysis, geometry, and topology. Preliminaries are provided on probability theory, including the study of the Rademacher functions as a sequence of independent random variables. The book contains more than 600 examples andexercises. The reader who has mastered the first third of the book will be able to study other areas of mat hematics that use integration, such as probability theory, statistics, functional analysis, partial probability theory,statistics, functional analysis, partial differential equations and others. Real Analysis: Measures, Integrals and Applications is inte nded for advanced undergraduate and graduate students in mathematics and physics. It assumes thatthe reader is familiar with basic linear algebra and differential calculus of functions of several variables |
Note: | Springer eBooks |
Contents: | Measure |
The Lebesgue Model | |
Measurable Functions | |
The Integral | |
The Product Measure | |
Change of Variables in an Integral | |
Integrals Dependent on a Parameter | |
Surface Integrals | |
Approximation and Convolution of the Space | |
Fourier Series and the Fourier Transform | |
Charges. The Radon | |
Nikodym Theory | |
Integral Representation of Linear Functionals | |
Appendices | |
ISBN: | 9781447151227 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Universitext, 0172-5939 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Fourier analysis , Geometry |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2013-9781447148357:ONLINE Show nearby items on shelf |
Title: | Dynamical Systems [electronic resource] : An Introduction |
Author(s): |
Luis Barreira Claudia Valls |
Date: | 2013 |
Publisher: | London : Springer London : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The theory of dynamical systems is a broad and active research subject with connections to most parts of mathematics. Dynamical Systems: An Introduction undertakes the difficult task to provide a self-contained and compactintroduction. Topics covered include topological, low-dimensional, hyperbolic and symbolic dynamics, as well as a brief introduction to ergodic theory. In particular, the authors consider topological recurrence, topological entropy,homeomorphisms and diffeomorphisms of the circle, S harkovski's ordering, the Poincar-Bendixson theory, and the construction of stable manifolds, as well as an introduction to geodesic flows and the study of hyperbolicity (the latteris often absent in a first introduction). Moreover, the authors introduce the basics of symbolic dynamics, the construction of symbolic codings, invariant measures, Poincar's recurrence theorem and Birkhoff's ergodic theorem. Theexposition is mathematically rigorous, concise and direct: all statements (except for some results f rom other areas) are proven. At the same time, the text illustrates the theory with many examples and 140 exercises of variable levelsof difficulty. The only prerequisites are a background in linear algebra, analysis and elementary topology. This is a tex tbook primarily designed for a one-semester or two-semesters course at the advanced undergraduate or beginninggraduate levels. It can also be used for self-study and as a starting point for more advanced topics |
Note: | Springer eBooks |
Contents: | Introduction |
Basic Notions and Examples | |
Topological Dynamics | |
Low | |
Dimensional Dynamics | |
Hyperbolic Dynamics I | |
Hyperbolic Dynamics II | |
Symbolic Dynamics | |
Ergodic Theory | |
ISBN: | 9781447148357 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Universitext, 0172-5939 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differentiable dynamical systems , Global analysis , Differential Equations |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2012-9783642303623:ONLINE Show nearby items on shelf |
Title: | Algebraic Operads [electronic resource] |
Author(s): |
Jean-Louis Loday Bruno Vallette |
Date: | 2012 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | In many areas of mathematics some higher operations are arising. These have become so important that several research projects refer to such expressions. Higher operations form new types of algebras. The key tounderstanding and comparing them, to cre ating invariants of their action is operad theory. This is a point of view that is 40 years old in algebraic topology, but the new trend is its appearance in several other areas, such asalgebraic geometry, mathematical physics, differential geometry, and combinatorics. The present volume is the first comprehensive and systematic approach to algebraic operads. An operad is an algebraic device that serves to study allkinds of algebras (associative, commutative, Lie, Poisson, A-infinity, etc.) from a concept ual point of view. The book presents this topic with an emphasis on Koszul duality theory. After a modern treatment of Koszul duality forassociative algebras, the theory is extended to operads. Applications to homotopy algebra are given, for instance the HomotopyTransfer Theorem. Although the necessary notions of algebra are recalled, readers areexpected to be familiarwith elementary homological algebra. Each chapter ends with a helpful summary and exercises. A full chapter is devoted to examples, and num erous figures are included. After an elementary chapter on classical algebra, accessible toundergraduate students,the level increases gradually through the book. However, the authors have done their best to make it suitable for graduate students: three ap pendices review the basic results needed in order to understand thevarious chapters. Since higher algebra is becoming essential in several research areas like deformation theory, algebraic geometry, representation theory, differential geometry, algebraic combinatorics, and mathematical physics, thebook can also be used as a reference work by researchers. |
Note: | Springer eBooks |
Contents: | Preface |
1.Algebras, coalgebras, homology | |
2.Twisting morphisms | |
3.Koszul duality for associative algebras | |
4.Methods to prove Koszulity of an algebra | |
5.Algebraic operad | |
6 Operadic homological algebra | |
7.Koszul duality of operads | |
8.Methods to prove Koszulity of an operad | |
9.The operads As and A\infty | |
10.Homotopy operadic algebras | |
11.Bar and cobar construction of an algebra over an operad | |
12.(Co)homology of algebras over an operad | |
13.Examples of algebraic operads | |
Apendices: A.The symmetric group | |
B.Categories | |
C.Trees | |
References | |
Index | |
List of Not | |
ISBN: | 9783642303623 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 0072-7830 : v346 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebra , Algebraic topology , Cell aggregation Mathematics |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2012-9783642288210:ONLINE Show nearby items on shelf |
Title: | Essays in Mathematics and its Applications [electronic resource] : In Honor of Stephen Smales 80th Birthday |
Author(s): |
Panos M Pardalos Themistocles M Rassias |
Date: | 2012 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The volume is dedicated to Stephen Smale on the occasion of his 80th birthday. Besides his startling 1960 result of the proof of the Poincar conjecture for all dimensions greater than or equal to five, Smales ground breakingcontributions invarious fi elds in Mathematics have marked the second part of the 20th century and beyond. Stephen Smale has done pioneering work in differential topology, global analysis, dynamical systems, nonlinear functionalanalysis, numerical analysis, theory of computation an d machine learning as well as applications in the physical and biological sciences and economics. In sum, Stephen Smale has manifestly broken the barriers among the different fieldsof mathematics and dispelled some remaining prejudices. He is indeed a uni versal mathematician. Smale has been honored with several prizes and honorary degrees including, among others, the Fields Medal(1966), The Veblen Prize (1966),the National Medal of Science (1996) and theWolf Prize (2006/2007) |
Note: | Springer eBooks |
Contents: | Preface |
Transitivity and Topological Mixing for C1 Diffeomorphisms | |
Recent Results on the Size of Critical Sets | |
The FoxLi operator as a Test and a Spur for WienerHopf Theory | |
Kahler Metrics with Cone Singularities along a Divisor | |
The Space of Framed functions is Contractible | |
Quantum Gravity via Manifold Positivity | |
Parabolic Explosions in Families of Complex Polynomials | |
Super Stable Kahlerian Horseshoe? | |
A Smooth Multivariate Interpolation Algorithm | |
Bifurcations of Solutions of the 2 | |
Dimensional Navier | |
Stokes System | |
Arnold Diffusion by Variational Methods | |
Turnin | |
ISBN: | 9783642288210 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Mathematical optimization , Operations research |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2012-9783642256202:ONLINE Show nearby items on shelf |
Title: | A Theory of Branched Minimal Surfaces [electronic resource] |
Author(s): |
Anthony Tromba |
Date: | 2012 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | One of the most elementary questions in mathematics is whether an area minimizing surface spanning a contour in three space is immersed or not i.e. does its derivative have maximal rank everywhere. The purpose of this monographis to present an elemen tary proof of this very fundamental and beautiful mathematical result. The exposition follows the original line of attack initiated by Jesse Douglas in his Fields medal work in 1931, namely use Dirichlet's energyas opposed to area. Remarkably, the author shows how to calculate arbitrarily high orders of derivatives of Dirichlet's energy defined on the infinite dimensional manifold of all surfaces spanning a contour, breaking new ground in theCalculus of Variations, where normally only the second derivativ e or variation is calculated. The monograph begins with easy examples leading to a proof in a large number of cases that can be presented in a graduate course in eithermanifolds or complex analysis. Thus this monograph requires only the most basic knowled ge of analysis, complex analysis and topology and can therefore be read by almost anyone with a basic graduate education |
Note: | Springer eBooks |
Contents: | 1.Introduction |
2.Higher order Derivatives of Dirichlets' Energy | |
3.Very Special Case The Theorem for n + 1 Even and m + 1 Odd | |
4.The First Main Theorem Non | |
Exceptional Branch Points | |
5.The Second Main Theorem: Exceptional Branch Points The Condition k > l | |
6.Exceptional Branch Points Without The Condition k > l | |
7.New Brief Proofs of the Gulliver | |
Osserman | |
Royden Theorem | |
8.Boundary Branch Points | |
Scholia | |
Appendix | |
Bibliography | |
ISBN: | 9783642256202 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Monographs in Mathematics, 1439-7382 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Functions of complex variables , Global analysis , Sequences (Mathematics) , Global differential geometry |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2012-9783642255885:ONLINE Show nearby items on shelf |
Title: | Manfredo P. do Carmo Selected Papers [electronic resource] |
Author(s): |
Manfredo P do Carmo Keti Tenenblat |
Date: | 2012 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This volume of selected academic papers demonstrates the significance of the contribution to mathematics made by Manfredo P. do Carmo. Twice a Guggenheim Fellow and the winner of many prestigious national and international awards,the professor at the institute of Pure and Applied Mathematics in Rio de Janeiro is well known as the author of influential textbooks such as Differential Geometry of Curves and Surfaces. The area of differential geometry is the mainfocus of this selection, though it also co ntains do Carmo's own commentaries on his life as a scientist as well as assessment of the impact of his researches and a complete list of his publications. Aspects covered in the featuredpapers include relations between curvature and topology, convexity and rigidity, minimal surfaces, and conformal immersions, among others. Offering more than just a retrospective focus, the volume deals with subjects of currentinterest to researchers, including a paper co-authored with Frank Warner on the convexity of hy persurfaces in space forms. It also presents the basic stability results for minimal surfaces in the Euclidean space obtained by the authorand his collaborators. Edited by do Carmo's first student, now a celebrated academic in her own right, this collecti on pays tribute to one of the most distinguished mathematicians |
Note: | Springer eBooks |
Contents: | Preface |
A Summary of the Scientific Activities of Manfredo P. do Carmo | |
Summary of thePapers in this Volume by Manfredo P. do Carmo | |
Contributions | |
Complete List of Publications of Manfredo P. do Carmo | |
List of D.Sc. Students of Manfredo P. do Carmo | |
ISBN: | 9783642255885 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Geometry , Global differential geometry , Cell aggregation Mathematics |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2012-9783642244971:ONLINE Show nearby items on shelf |
Title: | Mathematics and Modern Art [electronic resource] : Proceedings of the First ESMA Conference, held in Paris, July 19-22, 2010 |
Author(s): |
Claude Bruter |
Date: | 2012 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The link between mathematics and art remains as strong today as it was in the earliest instances of decorative and ritual art. Arts, architecture, music and painting have for a long time been sources of new developments inmathematics, and vice versa. Many great painters have seen no contradiction between artistic and mathematical endeavors, contributing to the progress of both, using mathematical principles to guide their visual creativity, enrichingtheir visual environment with the new objects creat ed by the mathematical science. Owing to the recent development of the so nice techniques for visualization, while mathematicians can better explore these new mathematical objects,artists can use them to emphasize their intrinsic beauty, and create quite new sceneries. This volume, the content of the first conference of the European Society for Mathematics and the Arts (ESMA), held in Paris in 2010, gives anoverview on some significant and beautiful recent works where maths and art, including architecture and music, are interwoven. The book includes a wealth of mathematical illustrations from several basic mathematical fields includingclassical geometry, topology, differential geometry, dynamical systems. Here, artists and mathematicians alike elucidate t he thought processes and the tools used to create their work |
Note: | Springer eBooks |
Contents: | Preface |
A Mathematician and an Artist. The Story of a Collaboration by R.Palais | |
Dimensions, a Math Movie by A.Alvarez, J.Leys | |
Old and new Mathematical Models: saving the Heritage of the Institute Henri Poincar by F.Apry | |
An Introduction to the Construction of some Mathematical Objects by C.P.Bruter | |
Computer, Mathematics and Art by J | |
F.Colonna | |
Structure of Visualization and Symmetry in iterated Function Systems by J.Constant | |
Polyhedral eversions of the sphere gastrulation by R.Denner | |
M.C. Eschers Use of the Poincar Models of Hyperbolic Geometry by D.Dunham | |
M | |
ISBN: | 9783642244971 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Proceedings in Mathematics, 2190-5614 : v18 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science , Computer vision , Visualization , Geometry |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2012-9783642236471:ONLINE Show nearby items on shelf |
Title: | Milnor Fiber Boundary of a Non-isolated Surface Singularity [electronic resource] |
Author(s): |
Andrs Nmethi gnes Szilrd |
Date: | 2012 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | In the study of algebraic/analytic varieties a key aspect is the description of the invariants of their singularities. This book targets the challenging non-isolated case. Let f be a complex analytic hypersurface germ in threevariables whose zero set has a 1-dimensional singular locus. We develop an explicit procedure and algorithm that describe the boundary M of the Milnor fiber of f as an oriented plumbed 3-manifold. This method also provides thecharacteristic polynomial of the algebraic monodromy. We then determine the multiplicity system of the open book decomposition of M cut out by the argument of g for any complex analytic germ g such that the pair (f,g) is an ICIS.Moreover, the horizontal and vertical monodromies of the transversal type singu larities associated with the singular locus of f and of the ICIS (f,g) are also described. The theory is supported by a substantial amount of examples,including homogeneous and composed singularities and suspensions. The properties peculiar to M are also emphasized |
Note: | Springer eBooks |
Contents: | 1 Introduction |
2 The topology of a hypersurface germ f in three variables Milnor fiber | |
3 The topology of a pair (f g) | |
4 Plumbing graphs and oriented plumbed 3 | |
manifolds | |
5 Cyclic coverings of graphs | |
6 The graph GC of a pair (f g). The definition | |
7 The graph GC . Properties | |
8 Examples. Homogeneous singularities | |
9 Examples. Families associated with plane curve singularities | |
10 The Main Algorithm | |
11 Proof of the Main Algorithm | |
12 The Collapsing Main Algorithm | |
13 Vertical/horizontal monodromies | |
14 The algebraic monodromy of H1( F). Starting point | |
15 T | |
ISBN: | 9783642236471 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Mathematics, 0075-8434 : v2037 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Geometry, algebraic , Differential equations, partial , Algebraic topology |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2012-9783642228957:ONLINE Show nearby items on shelf |
Title: | Nonlinear Waves and Solitons on Contours and Closed Surfaces [electronic resource] |
Author(s): |
Andrei Ludu |
Date: | 2012 |
Edition: | 2nd ed. 2012 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This volume is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such a closed curves and surfaces and other domain contours. It assumes familiarity with basic soliton theory andnonlinear dynamical sys tems. The first part of the book introduces the mathematical concept required for treating the manifolds considered, providing relevant notions from topology and differential geometry. An introduction to thetheory of motion of curves and surfaces - as par t of the emerging field of contour dynamics - is given. The second and third parts discuss the modeling of various physical solitons on compact systems, such as filaments, loops and dropsmade of almost incompressible materials thereby intersecting with a large number of physical disciplines from hydrodynamics to compact object astrophysics. This book is intended for graduate students and researchers in mathematics,physics and engineering. This new edition has been thoroughly revised, expanded and updated |
Note: | Springer eBooks |
Contents: | Introduction |
Mathematical Prerequisites | |
The Importance of the Boundary | |
Vector Fields, Differential Forms, and Derivatives | |
Geometry of Curves | |
Motion of Curves and Solitons | |
Geometry of Surfaces | |
Theory of Motion of Surfaces | |
Kinematics of Hydrodynamics | |
Dynamics of Hydrodynamics | |
Nonlinear Surface Waves in One | |
Dimension | |
Nonlinear Surface Waves in Two | |
Dimensions | |
Nonlinear Surface Waves in Three | |
Dimensions | |
Other Special Nonlinear Compact Systems | |
Filaments, Chains and Solitons | |
Solitons on the Boundaries of Microscopic Systems | |
Nonlinear Contour Dynamics in | |
ISBN: | 9783642228957 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Series in Synergetics, 0172-7389 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Global differential geometry , Mathematical physics |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2012-9781461444879:ONLINE Show nearby items on shelf |
Title: | An Introduction to Inverse Limits with Set-valued Functions [electronic resource] |
Author(s): |
W.T Ingram |
Date: | 2012 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Inverse limits with set-valued functions are quickly becoming a popular topic of research due to their potential applications in dynamical systems and economics. This brief provides a concise introduction dedicated specifically tosuch inverse limits. The theory is presented along with detailed examples which form the distinguishing feature of this work. The major differences between the theory of inverse limits with mappings and the theory with set-valuedfunctions are featured prominently in this boo k in a positive light. The reader is assumed to have taken a senior level course in analysis and a basic course in topology. Advanced undergraduate and graduate students, and researchersworking in this area will find this brief useful. |
Note: | Springer eBooks |
Contents: | 1. Basics |
2. Connectedness | |
3. Mapping verses Set | |
valued Functions | |
4. Mapping Theorems | |
5. Dimension | |
6. Problems.Index | |
ISBN: | 9781461444879 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | SpringerBriefs in Mathematics, 2191-8198 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differentiable dynamical systems , Differential Equations , Topology |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2012-9781461442448:ONLINE Show nearby items on shelf |
Title: | Homogeneous Finsler Spaces [electronic resource] |
Author(s): |
Shaoqiang Deng |
Date: | 2012 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book is a unique addition to the existing literature in the field of Finsler geometry. This is the first monograph to deal exclusively with homogeneous Finsler geometry and to make serious use of Lie theory in the study ofthis rapidly developing field. The increasing activity in Finsler geometry can be attested in large part to the driving influence of S.S. Chern, its proven use in many fields of scientific study such as relativity, optics, geosciences,mathematical biology, and psychology, and i ts promising reach to real-world applications. This work has potential for broad readership it is a valuable resource not only for specialists of Finsler geometry, but also for differentialgeometers who are familiar with Lie theory, transformation groups, and homogeneous spaces. The exposition is rigorous, yet gently engages the readerstudent and researcher alikein developing a ground level understanding of thesubject. A one-term graduate course in differential geometry and elementary topology are prerequ isites. In order to enhance understanding, the author gives a detailed introduction and motivation for the topics of each chapter, as wellas historical aspects of the subject, numerous well-selected examples, and thoroughly proved main results. Comments f or potential further development are presented in Chapters 37. A basic introduction to Finsler geometry isincluded in Chapter 1 the essentials of the related classical theory of Lie groups, homogeneous spaces and groups of isometries are presented in Chap ters 23. Then the author develops the theory of homogeneous spaces within theFinslerian framework. Chapters 46 deal with homogeneous, symmetric and weakly symmetric Finsler spaces. Chapter 7 is entirely devoted to homogeneous Randers spaces, which are goo d candidates for real world applications andbeautiful illustrators of the developed theory |
Note: | Springer eBooks |
Contents: | Preface |
Acknowledgements | |
1. Introduction to Finsler Geometry | |
2. Lie Groups and Homogenous Spaces | |
3. The Group of Isometries | |
4. Homogeneous Finsler Spaces | |
5. Symmetric Finsler Spaces | |
6. Weakly Symmetric Finsler Spaces | |
7. Homogeneous Randers Spaces | |
References | |
Index. | |
ISBN: | 9781461442448 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Monographs in Mathematics, 1439-7382 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global differential geometry |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2012-9781461424079:ONLINE Show nearby items on shelf |
Title: | Henri Poincar [electronic resource] : Impatient Genius |
Author(s): |
Ferdinand Verhulst |
Date: | 2012 |
Publisher: | Boston, MA : Springer US : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book describes the life and work of Henri Poincar, detailing most of his unique achievements in mathematics and physics. It is divided into two partsthe first on Poincars life, and the second on his contributionsto the mathematical sciences. Apa rt from biographical details, attention is given to Poincars results on automorphic functions differential equations and dynamical systems celestial mechanics mathematical physics, in particularthe theory of the electron and relativity and topology (analy sis situs). A chapter on philosophy explains Poincars conventionalism in mathematics and his view of conventionalism in physics. The book shows how Poincar reachedhis fundamentally new results in many different fields, how he thought about problems, and h ow one should read his work. Simultaneously, it is made clear how analysis and geometry are intertwined in Poincars thinking and work. Indynamical systems, this becomes clear in his description of invariant manifolds, his association of differential equat ion flow with mappings, and his fixed-point theory. There is no comparable book on Poincar presenting such arelatively complete vision of his life and the working of his very original mind. Scientists and engineers as well as general readers interested in the history of science will find this book of interest. Reviews of this book:Thetitle of this biography is particularly well chosen : Henri Poincar was a true genius, and he was impatient. It gives a fair picture of both the man and the scientist, comple ted by particularly well chosen illustrations. Jean Mawhin,Universit Catholique de Louvain, Belgium Ferdinand Verhulst has written a true scientific biography, introducing Poincar the man, his cultural milieu, and his mathematics. This book shows why, a c entury after his death,Poincar's ideas still shape a substantial part of the mathematical sciences. Philip J Holmes, Princeton University, USA |
Note: | Springer eBooks |
Contents: | The early years |
Academic education, 1873 | |
1879 | |
Impressive results in Vesoul and Caen | |
Career in Paris | |
The prize competition of Oscar II | |
Philosophy and essays | |
At the end, what kind of a man? | |
Automorphic functions | |
Differential equations and dynamical systems | |
Analysis Situs | |
Mathematical Physics | |
Poincar | |
Historical data and biographical details | |
References | |
Index | |
ISBN: | 9781461424079 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Engineering |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2012-9781461418092:ONLINE Show nearby items on shelf |
Title: | Algebraic Geometry over the Complex Numbers [electronic resource] |
Author(s): |
Donu Arapura |
Date: | 2012 |
Publisher: | Boston, MA : Springer US |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This textbook is a strong addition to existing introductory literature on algebraic geometry. The authors treatment combines the study of algebraic geometry with differential and complex geometry and unifies these subjectsusing sheaf-theoretic ideas. It is also an ideal text for showing students the connections between algebraic geometry, complex geometry, and topology, and brings the reader close to the forefront of research in Hodge theory and relatedfields. Unique features of this textbook: - Cont ains a rapid introduction to complex algebraic geometry - Includes background material on topology, manifold theory and sheaf theory - Analytic and algebraic approaches are developedsomewhat in parallel The presentation is easy going, elementary, and well illustrated with examples. Algebraic Geometry over the Complex Numbers is intended for graduate level courses in algebraic geometry and related fields. Itcan be used as a main text for a second semester graduate course in algebraic geometry with emphasis on sheaf theoretical methods or a more advanced graduate course on algebraic geometry and Hodge Theory |
Note: | Springer eBooks |
Contents: | Preface |
1. Plane Curves | |
2. Manifolds and Varieties via Sheaves | |
3. More Sheaf Theory | |
4. Sheaf Cohomology | |
5. de Rham Cohomoloy of Manifolds | |
6. Riemann Surfaces | |
7. Simplicial Methods | |
8. The Hodge Theorem for Riemann Manifolds | |
9. Toward Hodge Theory for Complex Manifolds | |
10. Kahler Manifolds | |
11. A Little Algebraic Surface Theory | |
12. Hodge Structures and Homological Methods | |
13. Topology of Families | |
14. The Hard Lefschez Theorem | |
15. Coherent Sheaves | |
16. Computation of Coherent Sheaves | |
17. Computation of some Hodge numbers | |
18. Deformation Invarian | |
ISBN: | 9781461418092 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Universitext, 0172-5939 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Geometry, algebraic , Differential equations, partial , Topology |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2012-9781447128076:ONLINE Show nearby items on shelf |
Title: | Functional Spaces for the Theory of Elliptic Partial Differential Equations [electronic resource] |
Author(s): |
Franoise Demengel Gilbert Demengel |
Date: | 2012 |
Publisher: | London : Springer London : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Linear and non-linear elliptic boundary problems are a fundamental subject in analysis and the spaces of weakly differentiable functions (also called Sobolev spaces) are an essential tool for analysing the regularity of itssolutions. The complete th eory of Sobolev spaces is covered whilst also explaining how abstract convex analysis can be combined with this theory to produce existence results for the solutions of non-linear elliptic boundaryproblems. Other kinds of functional spaces are also includ ed, useful for treating variational problems such as the minimal surface problem. Almost every result comes with a complete and detailed proof. In some cases, more than oneproof is provided in order to highlight different aspects of the result. A range o f exercises of varying levels of difficulty concludes each chapter with hints to solutions for many of them. It is hoped that this book will provide atool for graduate and postgraduate students interested in partial differential equations, as well as a u seful reference for researchers active in the field. Prerequisites include a knowledge of classical analysis, differentialcalculus, Banach and Hilbert spaces, integration and the related standard functional spaces, as well as the Fourier transformation on Schwartz spaces |
Note: | Springer eBooks |
Contents: | Preliminaries on ellipticity |
Notions from Topology and Functional Analysis | |
Sobolev Spaces and Embedding Theorems | |
Traces of Functions on Sobolev Spaces | |
Fractional Sobolev Spaces | |
Elliptic PDE: Variational Techniques | |
Distributions with measures as derivatives | |
Korn's Inequality in Lp | |
Appendix on Regularity | |
ISBN: | 9781447128076 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Universitext, 0172-5939 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Functional analysis , Differential equations, partial |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2012-9781441999825:ONLINE Show nearby items on shelf |
Title: | Introduction to Smooth Manifolds [electronic resource] |
Author(s): |
John M Lee |
Date: | 2012 |
Edition: | 2nd ed. 2012 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific researchsmoothstructures, tangent vector s and covectors, vector bundles, immersed and embedded submanifolds, tensors, differential forms, de Rham cohomology, vector fields, flows, foliations, Lie derivatives, Lie groups, Lie algebras, and more. Theapproach is as concrete as possible, with pictu res and intuitive discussions of how one should think geometrically about the abstract concepts, while making full use of the powerful tools that modern mathematics has to offer. Thissecond edition has been extensively revised and clarified, and the topic s have been substantially rearranged. The book now introduces the two most important analytic tools, the rank theorem and the fundamental theorem on flows, muchearlier so that they can be used throughout the book. A few new topics have been added, notably Sards theorem and transversality, a proof that infinitesimal Lie group actions generate global group actions, a more thorough study offirst-order partial differential equations, a brief treatment of degree theory for smooth maps between compact manifolds , and an introduction to contact structures. Prerequisites include a solid acquaintance with general topology, thefundamental group, and covering spaces, as well as basic undergraduate linear algebra and real analysis |
Note: | Springer eBooks |
Contents: | Preface |
1 Smooth Manifolds | |
2 Smooth Maps | |
3 Tangent Vectors | |
4 Submersions, Immersions, and Embeddings | |
5 Submanifolds | |
6 Sard's Theorem | |
7 Lie Groups | |
8 Vector Fields | |
9 Integral Curves and Flows | |
10 Vector Bundles | |
11 The Cotangent Bundle | |
12 Tensors | |
13 Riemannian Metrics | |
14 Differential Forms | |
15 Orientations | |
16 Integration on Manifolds | |
17 De Rham Cohomology | |
18 The de Rham Theorem | |
19Distributions and Foliations | |
20 The Exponential Map | |
21 Quotient Manifolds | |
22 Symplectic Manifolds | |
Appendix A: Review of Topology | |
Appendix B: Review | |
ISBN: | 9781441999825 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Graduate Texts in Mathematics, 0072-5285 : v218 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global differential geometry |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2012-9780817683436:ONLINE Show nearby items on shelf |
Title: | Singularities of Differentiable Maps, Volume 2 [electronic resource] : Monodromy and Asymptotics of Integrals |
Author(s): |
V.I Arnold S.M Gusein-Zade A.N Varchenko |
Date: | 2012 |
Publisher: | Boston : Birkhuser Boston : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Originally published inthe 1980s, Singularities of DifferentiableMaps: Monodromy and Asymptotics of Integrals was thesecond oftwovolumes that togetherformed a translation of the authors'influential Russian monographon singularity theory.This uncorrec ted softcover reprint of the work brings its still-relevant content back into the literature, making it availableand affordableto a global audience of researchers and practitioners. Whilethe first volume of this title, subtitled Classification of Critical Points, Caustics and Wave Fronts, contained the zoology of differentiable mapsthat is, was devoted to a description of what, where, and how singularities could beencounteredthis second volume concentrates on elements of theanatomy and physiology of singu larities of differentiable functions. The questions considered here are about the structure of singularities and how they function. Inthe first part the authors consider the topological structure of isolated critical points of holomorphic functions: vanis hing cycles distinguished bases intersection matricesmonodromy groupsthe variation operatorand theirinterconnections and method of calculation. The second part is devoted to the study of the asymptotic behavior of integrals of the method of stationary pha se, which is widely met within applications. The third and last part dealswith integrals evaluated over level manifolds in a neighborhood of the critical point of a holomorphic function. Thismonograph is suitablefor mathematicians, researchers, postgradua tes, and specialists in the areas ofmechanics, physics, technology, and other sciences dealing with the theory of singularities of differentiable maps |
Note: | Springer eBooks |
Contents: | Part I. The topological structure of isolated critical points of functions |
Introduction | |
Elements of the theory of Picard | |
Lefschetz | |
The topology of the non | |
singular level set and the variation operator of a singularity | |
The bifurcation sets and the monodromy group of a singularity | |
The intersection matrices of singularities of functions of two variables | |
The intersection forms of boundary singularities and the topology of complete intersections | |
Part II. Oscillatory integrals | |
Discussion of results | |
Elementary integrals and the resolution of singularities of the phase | |
As | |
ISBN: | 9780817683436 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Modern Birkhuser Classics |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Geometry, algebraic , Topological Groups , Global analysis (Mathematics) , Global differential geometry , Cell aggregation Mathematics |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2012-9780817682774:ONLINE Show nearby items on shelf |
Title: | Perspectives in Analysis, Geometry, and Topology [electronic resource] : On the Occasion of the 60th Birthday of Oleg Viro |
Author(s): |
Ilia Itenberg Burglind Jricke Mikael Passare |
Date: | 2012 |
Edition: | 1 |
Publisher: | Boston : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | A Marcus Wallenberg Symposium on Perspectives in Analysis, Geometry, and Topology was held at Stockholm University in May 2008. The choice of subjects of the Symposium and present volume was motivated by the work and mathematicalinterests of Oleg Vir o to whom the Symposium and this volume are dedicated. As a professor of Uppsala University, Viro has made invaluable contributions to Swedish research by complementing the country's longstanding tradition inanalysis with his own renowned expertise in geo metry and topology. Consolidating in a single volume a major portion of the recent, impressive encounters among the fields of analysis, geometry, and topology would be too ambitious. Thecollection of papers in this work still should give some sense of the development of the fields and their interactions. The topics presented by leading experts in their respective fields include: algebraic geometry, in particular, realalgebraic geometry, differential geometry, symplectic and contact geometry, complex analy sis, three- and four-dimensional manifolds, and invariants of links. Also included in the book is the opening speech of the Symposium by LennartCarleson on the Unity of Mathematics. Contributors: S. Akbulut K. Baker R. Berman A. Degtyarev J.-P. Demailly T . Ekholm Y. Eliashberg M. Entov J. Etnyre D. Gay G. Henkin I. Itenberg L. Kauffman K. Kaveh M. Khanevsky V. Kharlamov A.Khovanskii C. Manolescu N. Mishachev N. Mok S. Orevkov L. Polterovich P. Py N. Reshetikhin A. Shumakovitch E. Shustin A. Stipsicz C. St roppel B. Webster C. Woodward |
Note: | Springer eBooks |
Contents: | Preface |
1 Selman Akbulut, Exotic structures on smooth 4 | |
manifolds | |
2 Kenneth Baker, John Etnyre, Rational linking and contact geometry | |
3 Robert Berman, Jean | |
Pierre Demailly, Regularity of plurisubharmonic upper envelopes in big cohomology classes | |
4 Alex Degtarev, Towards the generalized Shapiro and Shapiro conjecture | |
5 Alex Degtarev, Ilia Itenberg, Viatcheslav Kharlamov, On the number of components of a complete intersection of real quadrics | |
6 Tobias Ekholm, Rational Symplectic Field Theory and linearized Legendrian contact homology | |
7 Yakov Eliashberg, N. Mishachev, Wrinkling | |
ISBN: | 9780817682774 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Progress in Mathematics : v296 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global analysis (Mathematics) , Global analysis , Geometry , Topology |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2012-9780817646936:ONLINE Show nearby items on shelf |
Title: | An Introduction to Riemann Surfaces [electronic resource] |
Author(s): |
Terrence Napier Mohan Ramachandran |
Date: | 2012 |
Publisher: | Boston, MA : Birkhuser Boston : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This textbook presents a unified approach to compact and noncompact Riemann surfaces from the point of view of the L -method, a powerful technique used in the theory of several complex variables. The work features a simpleconstruction of a strictly s ubharmonic exhaustion function and a related construction of a positive-curvature Hermitian metric in a holomorphic line bundle, topics which serve as starting points for proofs of standard results such asthe Mittag-Leffler, Weierstrass, and Runge theorem s the RiemannRoch theorem the Serre duality and Hodge decomposition theorems and the uniformization theorem. The book also contains treatments of other facts concerning theholomorphic, smooth, and topological structure of a Riemann surface, such as the bi holomorphic classification of Riemann surfaces, the embedding theorems, the integrability of almost complex structures, the Schnflies theorem (and theJordan curve theorem), and the existence of smooth structures on second countable surfaces. Although some previous experience with complex analysis, Hilbert space theory, and analysis on manifolds would be helpful, the onlyprerequisite for this book is a working knowledge of point-set topology and elementary measure theory. The work includes numerous exercis esmany of which lead to further development of the theoryand presents (with proofs)streamlined treatments of background topics from analysis and topology on manifolds in easily-accessible reference chapters, making it ideal for a one- or two-semester grad uate course |
Note: | Springer eBooks |
Contents: | Preface |
Introduction | |
Complex analysis in C | |
Riemann Surfaces and the L2 \delta | |
Method for Scalar | |
Valued Forms | |
The L2 \delta | |
Method in a Holomorphic Line Bundle | |
Compact Riemann Surfaces | |
Uniformization and Embedding ofRiemann Surfaces | |
Holomorphic Structures on Topological Surfaces | |
Background Material on Analysis in Rnand Hilbert Space Theory | |
Background Material on Linear Algebra | |
Background Material on Manifolds | |
Background Material on Fundamental Groups, Covering Spaces, and (Co)homology | |
Background Material on Sobolev Spaces and Regularity | |
References | |
Not | |
ISBN: | 9780817646936 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Cornerstones |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global analysis (Mathematics) , Global analysis , Differential equations, partial |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2012-9780387847948:ONLINE Show nearby items on shelf |
Title: | Structure and Geometry of Lie Groups [electronic resource] |
Author(s): |
Joachim Hilgert Karl-Hermann Neeb |
Date: | 2012 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This text is designed as an introduction to Lie groups and their actions on manifolds, one that is accessible both to a broad range of mathematicians and to graduate students.Building onthe authors' Lie-Gruppen undLie-Algebren textbook from 1991, itp resents the fundamental principles of Lie groupswhile incorporating the past 20 years of the authors' teaching and research, and giving due emphasis to the role played by differential geometryin the field. The text is entirely self contained,and provides ample guidance to students with the presence of many exercises and selected hints. The work begins with a study of matrix groups, which serve as examples to concretelyand directly illustratethe correspondence between groups and their Lie algebras. In the second part of the book, theauthorsinvestigate the basic structure and representation theory of finite dimensional Lie algebras,suchasthe rough structure theory relevant to the theorems of Levi and Malcev, the fine structure of semisimple Lie algebras (ro ot decompositions), and questions related to representation theory. In the third part of the book, the authorsturn to global issues, most notably the interplay between differential geometry and Lie theory. Finally, thefourth part of the book deals with th e structure theory of Lie groups, includingsome refined applications of theexponential function, various classes of Lie groups, andstructural issues for general Lie groups. To round out the book's content, several appendices appear at the end of thislast part. Containing a wealth of useful information,including new results, Structure and Geometry of Lie Groups provides a unique perspective on the study of Lie groups andis a valuable addition to the literature. Prerequisites are generally kept to a minimum , and various pedagogicalfeatures make it an excellent supplemental text for graduate students. However, the work also contains much that will be of interest to more adva |
Note: | Springer eBooks |
Contents: | Preface |
1 Introduction | |
Part I Matrix Groups | |
2 Concrete Matrix Groups | |
3The Matrix Exponential Function | |
4Linear Lie Groups | |
Part II Lie Algebras | |
5Elementary Structure Theory of Lie Algebras | |
6Root Decomposition | |
7Representation Theory of Lie Algebras | |
Part III Manifolds and Lie Groups | |
8 Smooth Manifolds | |
9 Basic Lie Theory | |
10 Smooth Actions of Lie Groups | |
Part IV Structure Theory of Lie Groups | |
11 Normal Subgroups, Nilpotemt and Solvable Lie Groups | |
12 Compact Lie Groups | |
13 Semisimple Lie Groups | |
14 General Structure Theory | |
15 Complex Lie | |
ISBN: | 9780387847948 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Monographs in Mathematics, 1439-7382 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebra , Topological Groups , Global differential geometry , Algebraic topology |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2011-9783764399924:ONLINE Show nearby items on shelf |
Title: | Symplectic Methods in Harmonic Analysis and in Mathematical Physics [electronic resource] |
Author(s): |
Maurice A Gosson |
Date: | 2011 |
Publisher: | Basel : Springer Basel |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The aim of this book is to give a rigorous and complete treatment of various topics from harmonic analysis with a strong emphasis on symplectic invariance properties, which are often ignored or underestimated in thetime-frequency literature. The topi cs that are addressed include (but are not limited to) the theory of the Wigner transform, the uncertainty principle (from the point of view of symplectic topology), Weyl calculus and its symplecticcovariance, Shubins global theory of pseudo-differential operators, and Feichtingers theory of modulation spaces. Several applications to time-frequency analysis and quantum mechanics are given, many of them concurrent withongoing research. For instance, a non-standard pseudo-differential calculus on phase spac e is introduced and studied, where the main role is played by Bopp operators (also called Landau operators in the literature). Thiscalculus is closely related to both the Landau problem and to the deformation quantization theory of Flato and Sternheimer, of which it gives a simple pseudo-differential formulation where Feichtingers modulation spaces are keyactors. This book is primarily directed towards students or researchers in harmonic analysis (in the broad sense) and towards mathematical physicists wo rking in quantum mechanics. It can also be read with profit by researchers intime-frequency analysis, providing a valuable complement to the existing literature on the topic. A certain familiarity with Fourier analysis (in the broad sense) and introductor y functional analysis (e.g. the elementary theory ofdistributions) is assumed. Otherwise, the book is largely self-contained and includes an extensive list of references |
Note: | Springer eBooks |
ISBN: | 9783764399924 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Pseudo-Differential Operators, Theory and Applications : v7 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Operator theory , Differential equations, partial , Global differential geometry |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2011-9783642203008:ONLINE Show nearby items on shelf |
Title: | Complex and Differential Geometry [electronic resource] : Conference held at Leibniz Universitt Hannover, September 14 18, 2009 |
Author(s): |
Wolfgang Ebeling Klaus Hulek Knut Smoczyk |
Date: | 2011 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This volume contains the Proceedings of the conference Complex and Differential Geometry 2009, held at Leibniz Universitt Hannover, September 14 - 18, 2009. It was the aim of this conference to bring specialists fromdifferential geometry and (complex ) algebraic geometry together and to discuss new developments in and the interaction between these fields. Correspondingly, the articles in this book cover a wide area of topics, ranging from topics in(classical) algebraic geometry through complex geometr y, including (holomorphic) symplectic and poisson geometry, to differential geometry (with an emphasis on curvature flows) and topology |
Note: | Springer eBooks |
Contents: | Participants |
Surfaces of general type with geometric genus zero: a survey | |
Holomorphic symplectic geometry: a problem list | |
Generalized Lagrangian mean curvature flow in Khler manifolds that are almost Einstein | |
Einstein metrics and preserved curvature conditions for the Ricci flow | |
Differential Harnack Estimates for Parabolic Equations | |
Euler characteristic of a complete intersection | |
Cremona special sets of points in products of projective spaces | |
Stable bundles and polyvector fields | |
Buser | |
Sarnak invariant and projective normality of abelian varieties | |
Complete Kahl | |
ISBN: | 9783642203008 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Proceedings in Mathematics, 2190-5614 : v8 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Geometry, algebraic , Differential equations, partial , Global differential geometry |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2011-9783642156373:ONLINE Show nearby items on shelf |
Title: | The Mathematics of Knots [electronic resource] Theory and Application |
Author(s): |
Markus Banagl Denis Vogel |
Date: | 2011 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The present volume grew out of the Heidelberg Knot Theory Semester, organized by the editors in winter 2008/09 at Heidelberg University. The contributed papers bring the reader up to date on the currently most actively pursuedareas of mathematical kn ot theory and its applications in mathematical physics and cell biology. Both original research and survey articles are presented numerous illustrations support the text. The book will be of great interest toresearchers in topology, geometry, and mathemat ical physics, graduate students specializing in knot theory, and cell biologists interested in the topology of DNA strands |
Note: | Springer eBooks |
Contents: | Preface |
1 Knots, Singular Embeddings, and Monodromy | |
2 Lower Bounds on Virtual Crossing Number and Minimal Surface Genus | |
3 A Survey of Twisted Alexander Polynomials | |
4 On Two Categorifications of the Arrow Polynomial for Virtual Knots | |
5 An Adelic Extension of the Jones Polynomial | |
6 Legendrian Grid Number One Knots and Augmentations of their Differential Algebras | |
7 Embeddings of Four | |
Valent Framed Graphs into 2 | |
Surfaces | |
8 Geometric Topology and Field Theory on 3 | |
Manifolds | |
9 From Goeritz Matrices to Quasi | |
Alternating Links | |
10 An Overview of Property 2R | |
11 DNA, Knot | |
ISBN: | 9783642156373 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Contributions in Mathematical and Computational Sciences : v1 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Physiology Mathematics , Global differential geometry , Topology , Cell aggregation Mathematics |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2011-9783642147005:ONLINE Show nearby items on shelf |
Title: | Topology and Geometry for Physics [electronic resource] |
Author(s): |
Helmut Eschrig |
Date: | 2011 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | A concise but self-contained introduction of the central concepts of modern topology and differential geometry on a mathematical level is given specifically with applications in physics in mind. All basic concepts aresystematically provided including sketches of the proofs of most statements. Smooth finite-dimensional manifolds, tensor and exterior calculus operating on them, homotopy, (co)homology theory including Morse theory of critical points,as well as the theory of fiber bundles and Riemannian geometry, are treated. Examples from physics comprise topological charges, the topology of periodic boundary conditions for solids, gauge fields, geometric phases in quantum physicsand gravitation |
Note: | Springer eBooks |
Contents: | Introduction |
Topology | |
Manifolds | |
Tensor Fields | |
Integration, Homology and Cohomology | |
Lie Groups | |
Bundles and Connections | |
Parallelism, Holonomy, Homotopy and (Co)homology | |
Riemannian Geometry | |
Compendium | |
ISBN: | 9783642147005 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Physics, Volume 822, 0075-8450 : v822 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Mathematical physics |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2011-9783642111020:ONLINE Show nearby items on shelf |
Title: | Differential Topology [electronic resource] |
Author(s): |
Vinicio Villani |
Date: | 2011 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | A. Banyaga: On the group of diffeomorphisms preserving an exact symplectic.- G.A. Fredricks: Some remarks on Cauchy-Riemann structures.- A. Haefliger: Differentiable Cohomology.- J.N. Mather: On the homology of Haefligersclassifying space.- P. Michor : Manifolds of differentiable maps.- V. Poenaru: Some remarks on low-dimensional topology and immersion theory.- F. Sergeraert: La classe de cobordisme des feuilletages de Reeb de S est nulle.- G. Wallet:Invariant de Godbillon-Vey et diffomorphismes commu tants |
Note: | Springer eBooks |
Contents: | A. Banyaga: On the group of diffeomorphisms preserving an exact symplectic |
G.A. Fredricks: Some remarks on Cauchy | |
Riemann structures | |
A. Haefliger: Differentiable Cohomology | |
J.N. Mather: On the homology of Haefligers classifying space | |
P. Michor: Manifolds of differentiable maps | |
V. Poenaru: Some remarks on low | |
dimensional topology and immersion theory | |
F. Sergeraert: La classe de cobordisme des feuilletages de Reeb de S est nulle | |
G. Wallet: Invariant de Godbillon | |
Vey et diffomorphismes commutants | |
ISBN: | 9783642111020 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | C.I.M.E. Summer Schools : v73 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Cell aggregation Mathematics |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2011-9783642110603:ONLINE Show nearby items on shelf |
Title: | Geometry of Homogeneous Bounded Domains [electronic resource] |
Author(s): |
E Vesentini |
Date: | 2011 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | S.G. Gindikin, I.I. Pjateckii-Sapiro, E.B. Vinberg: Homogeneous Khler manifolds.- S.G. Greenfield: Extendibility properties of real submanifolds of Cn.- W. Kaup: Holomorphische Abbildungen in Hyperbolische Rume.- A. Koranyi:Holomorphic and harmonic f unctions on bounded symmetric domains.- J.L. Koszul: Formes harmoniques vectorielles sur les espaces localement symtriques.- S. Murakami: Plongements holomorphes de domaines symtriques.- E.M. Stein: Theanalogues of Fatouss theorem and estimates for maxima l functions |
Note: | Springer eBooks |
Contents: | S.G. Gindikin, I.I. Pjateckii |
Sapiro, E.B. Vinberg: Homogeneous Khler manifolds | |
S.G. Greenfield: Extendibility properties of real submanifolds of Cn | |
W. Kaup: Holomorphische Abbildungen in Hyperbolische Rume | |
A. Koranyi: Holomorphic and harmonic functions on bounded symmetric domains | |
J.L. Koszul: Formes harmoniques vectorielles sur les espaces localement symtriques | |
S. Murakami: Plongements holomorphes de domaines symtriques | |
E.M. Stein: The analogues of Fatouss theorem and estimates for maximal functions | |
ISBN: | 9783642110603 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | C.I.M.E. Summer Schools : v45 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Global differential geometry , Algebraic topology |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2011-9783642109881:ONLINE Show nearby items on shelf |
Title: | Topologia differenziale [electronic resource] |
Author(s): |
E Vesentini |
Date: | 2011 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | J. Cerf: Invariants des paires despaces. Applications la topologie differentielle.- A. Hfliger: Varits feuilletes.- M.A. Kervaire: La mthode de Pontryagin pour la classification des applications sur une sphre.- S.Smale: Stable manifolds for differen tial equations and diffeomorphisms |
Note: | Springer eBooks |
Contents: | J. Cerf: Invariants des paires despaces. Applications la topologie differentielle |
A. Hfliger: Varits feuilletes | |
M.A. Kervaire: La mthode de Pontryagin pour la classification des applications sur une sphre | |
S. Smale: Stable manifolds for differential equations and diffeomorphisms | |
ISBN: | 9783642109881 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | C.I.M.E. Summer Schools : v26 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global differential geometry , Algebraic topology , Cell aggregation Mathematics |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2011-9783034801041:ONLINE Show nearby items on shelf |
Title: | Symplectic Invariants and Hamiltonian Dynamics [electronic resource] |
Author(s): |
Helmut Hofer Eduard Zehnder |
Date: | 2011 |
Publisher: | Basel : Springer Basel |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The discoveries of the last decades have opened new perspectives for the old field of Hamiltonian systems and led to the creation of a new field: symplectic topology. Surprising rigidity phenomena demonstrate that the nature ofsymplectic mappings is very different from that of volume preserving mappings. This raises new questions, many of them still unanswered. On the other hand, analysis of an old variational principle in classical mechanics has establishedglobal periodic phenomena in Hamiltonian sy stems. As it turns out, these seemingly different phenomena are mysteriously related. One of the links is a class of symplectic invariants, called symplectic capacities. These invariants arethe main theme of this book, which includes such topics as basic symplectic geometry, symplectic capacities and rigidity, periodic orbits for Hamiltonian systems and the action principle, a bi-invariant metric on the symplecticdiffeomorphism group and its geometry, symplectic fixed point theory, the Arnold conjectures and first order elliptic systems, and finally a survey on Floer homology and symplectic homology. The exposition is self-contained andaddressed to researchers and students from the graduate level onwards. ------ All the chapters have a nice introduction with the historic development of the subject and with a perfect description of the state of the art. The mainideas are brightly exposed throughout the book. () This book, written by two experienced researchers, will certainly fill in a gap in the theory of symplectic topology. The authors have taken part in the development of such a theoryby themselves or by their collaboration with other outstanding people in the area. (Zentralblatt MATH) This book is a beautiful introduction to one outlook on the exci ting new developments of the last ten to fifteen years insymplectic geometry, or symplectic topology, as certain aspects of the subject are lately called. () The authors are obvious masters |
Note: | Springer eBooks |
Contents: | 1 Introduction |
2 Symplectic capacities | |
3 Existence of a capacity | |
4 Existence of closed characteristics | |
5 Compactly supported symplectic mappings in R2n | |
6 The Arnold conjecture, Floer homology and symplectic homology | |
Appendix | |
Index | |
Bibliography | |
ISBN: | 9783034801041 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Modern Birkhuser Classics |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global analysis (Mathematics) , Global differential geometry , Cell aggregation Mathematics |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2011-9781461411055:ONLINE Show nearby items on shelf |
Title: | An Invitation to Morse Theory [electronic resource] |
Author(s): |
Liviu Nicolaescu |
Date: | 2011 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This self-contained treatment of Morse theory focuses on applications and is intended for a graduate course on differential or algebraic topology. The book is divided into three conceptually distinct parts. The first part containsthe foundations of M orse theory. The second part consists of applications of Morse theory over the reals, while the last part describes the basics and some applications of complex Morse theory, a.k.a. Picard-Lefschetz theory. Thisis the first textbook to include topics such as Morse-Smale flows, Floer homology, min-max theory, moment maps and equivariant cohomology, and complex Morse theory. The exposition is enhanced with examples, problems, and illustrations,and will be of interest to graduate students as well as research ers. The reader is expected to have some familiarity with cohomology theory and with the differential and integral calculus on smooth manifolds. Some features of thesecond edition include added applications, such as Morse theory and the curvature of knot s, the cohomology of the moduli space of planar polygons, and the Duistermaat-Heckman formula. The second edition also includes a new chapter onMorse-Smale flows and Whitney stratifications, many new exercises, and various corrections from the first editi on |
Note: | Springer eBooks |
Contents: | Preface |
Notations and Conventions | |
1 Morse Functions | |
2 The Topology of Morse Functions | |
3 Applications | |
4 Morse | |
Smale Flows and Whitney Stratifications | |
5 Basics of Complex Morse Theory | |
6 Exercises and Solutions | |
References | |
Index | |
ISBN: | 9781461411055 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Universitext, 0172-5939 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global analysis , Global differential geometry , Cell aggregation Mathematics |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2011-9781461405290:ONLINE Show nearby items on shelf |
Title: | Descriptive Topology in Selected Topics of Functional Analysis [electronic resource] |
Author(s): |
Jerzy Kkol Wiesaw Kubi Manuel Lpez-Pellicer |
Date: | 2011 |
Publisher: | Boston, MA : Springer US |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | A large mathematical community throughout the world actively works in functional analysis and uses profound techniques from topology.As the first monograph to approach the topic of topological vector spaces from the perspectiveof descriptive topology , this work provides also new insights into the connections between the topological properties of linear function spaces and their role in functional analysis. Descriptive Topology in Selected Topics ofFunctional Analysis is a self-contained volume that a pplies recent developments and classical results in descriptive topology to study the classes of infinite-dimensional topological vector spaces that appear in functional analysis.Such spaces include Frchet spaces, LF-spaces and their duals, andthe space o f continuous real-valued functions C(X) on a completely regular Hausdorff space X, to name a few. These vector spaces appear in distribution theory,differential equations, complex analysis, and various other areas of functional analysis. Written by three experts in the field, this book is a treasure trove for researchers and graduate students studying the interplay among the areasof point-set and descriptive topology, modern analysis, set theory, topological vector spaces and Banach spaces, and continuous function spaces.Moreover, it will serve as a reference for present and future work done in this areaand could serve as a valuable supplement to advanced graduate courses in functional analysis, set-theoretic topology, or the theory of function spaces |
Note: | Springer eBooks |
Contents: | Preface |
1. Overview | |
2. Elementary Facts about Baire and Baire | |
Type Spaces | |
3. K | |
analytic and quasi | |
Suslin Spaces | |
4. Web | |
Compact Spaces and Angelic Theorems | |
5. Strongly Web | |
Compact Spaces and a Closed Graph Theorem | |
6. Weakly Analytic Spaces | |
7. K | |
analytic Baire Spaces | |
8. A Three | |
Space Property for Analytic Spaces | |
9. K | |
analytic and Analytic Spaces Cp(X) | |
10. Precompact sets in (LM) | |
Spaces and Dual Metric Spaces | |
11. Metrizability of Compact Sets in the Class G | |
12. Weakly Realcompact Locally Convex Spaces | |
13. Corsons Propery (C) and tightness | |
14. Frchet | |
ISBN: | 9781461405290 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Developments in Mathematics, 1389-2177 : v24 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Functional analysis , Functions, special , Topology |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2011-9781441979407:ONLINE Show nearby items on shelf |
Title: | Introduction to Topological Manifolds [electronic resource] |
Author(s): |
John M Lee |
Date: | 2011 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book is an introduction to manifolds at the beginning graduate level. It contains the essential topological ideas that are needed for the further study of manifolds, particularly in the context of differential geometry,algebraic topology, and re lated fields. Its guiding philosophy is to develop these ideas rigorously but economically, with minimal prerequisites and plenty of geometric intuition. Although this second edition has the same basicstructure as the first edition, it has been extensivel y revised and clarified not a single page has been left untouched. The major changes include a new introduction to CW complexes (replacing most of the material on simplicialcomplexes in Chapter 5) expanded treatments of manifolds with boundary, local comp actness, group actions, and proper maps and a new section on paracompactness. This text is designed to be used for an introductory graduate course onthe geometry and topology of manifolds. It should be accessible to any student who has completed a solid u ndergraduate degree in mathematics. The authors book Introduction to Smooth Manifolds is meant to act as a sequel to thisbook |
Note: | Springer eBooks |
Contents: | Preface |
1 Introduction | |
2 Topological Spaces | |
3 New Spaces from Old | |
4 Connectedness and Compactness | |
5 Cell Complexes | |
6 Compact Surfaces | |
7 Homotopy and the Fundamental Group | |
8 The Circle | |
9 Some Group Theory | |
10 The Seifert | |
Van Kampen Theorem | |
11 Covering Maps | |
12 Group Actions and Covering Maps | |
13 Homology | |
Appendix A: Review of Set Theory | |
Appendix B: Review of Metric Spaces | |
Appendix C: Review of Group Theory | |
References | |
Notation Index | |
Subject Index | |
ISBN: | 9781441979407 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Graduate Texts in Mathematics, 0072-5285 : v202 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebraic topology , Cell aggregation Mathematics |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Call number: | SPRINGER-2011-9781441978950:ONLINE Show nearby items on shelf |
Title: | Topology, Geometry and Gauge fields [electronic resource] : Interactions |
Author(s): |
Gregory L Naber |
Date: | 2011 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This volume is intended to carry on the program, initiated in Topology, Geometry, and Gauge Fields: Foundations (Springer, 2010), of exploring the interrelations between particle physics and topology that arise from their sharednotion of a gauge fiel d. The text begins with a synopsis of the geometrical background assumed of the reader (manifolds, Lie groups, bundles, connections, etc.). There follows a lengthy, and somewhat informal discussion of a numberof the most basic of the classical gauge theor ies arising in physics, including classical electromagnetic theory and Dirac monopoles, the Klein-Gordon and Dirac equations and SU(2) Yang-Mills-Higgs theory. The real purpose here is towitness such things as spacetime manifolds, spinor structures, de Rh am cohomology, and Chern classes arise of their own accord in meaningful physics. All of these are then developed rigorously in the remaining chapters. With theprecise definitions in hand, one can, for example, fully identify magnetic charge and instanton number with the Chern numbers of the bundles on which the charge and instanton live, and uncover the obstruction to the existence of aspinor structure in the form of the second Stiefel-Whitney class. This second edition of the book includes, in an Append ix, a much expanded sketch of Seiberg-Witten gauge theory, including a brief discussion of its origins in physicsand its implications for topology. To provide the reader with the opportunity to pause en route and join in the fun, there are 228 exercises, each an integral part of the development and each located at precisely the point at whichit can be solved with optimal benefit. Reviews of first edition: Nabers goal is not to teach a sterile course on geometry and topology, but rather to enable us to see the subject in action, through gauge theory. (SIAM Review)The presentation is enriched by detailed discussions about the physical interpretations of connections, their curvature |
Note: | Springer eBooks |
Contents: | Preface |
Acknowledgements | |
Geometrical Background | |
Physical Motivation | |
Frame Bundles and Spacetime | |
Differential Forms and Integration Introduction | |
de Rham Cohomology Introduction | |
Characteristic Classes | |
Appendix | |
References | |
Symbols | |
Index | |
ISBN: | 9781441978950 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Applied Mathematical Sciences, 0066-5452 : v141 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Combinatorics , Geometry |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
Return to the Fermilab Library catalog