Fermilab Fermilab Core Computing Division

Library Home |  Ask a Librarian library@fnal.gov |  Book Catalog |  Library Journals |  Requests |  SPIRES |  Fermilab Documents |

Fermilab Library
SPIRES-BOOKS: FIND KEYWORD DIFFERENTIAL TOPOLOGY *END*INIT* use /tmp/qspiwww.webspi1/9690.48 QRY 131.225.70.96 . find keyword differential topology ( in books using www Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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

Cover
Image
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