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 MEASURE THEORY *END*INIT* use /tmp/qspiwww.webspi1/5961.314 QRY 131.225.70.96 . find keyword measure theory ( in books using www Cover
Image
Call number:9783319517537:ONLINE Show nearby items on shelf
Title:Extended Abstracts Summer 2015 Strategic Behavior in Combinatorial Structures Quantitative Finance
Author(s):
Date:2017
Size:1 online resource (VI, 139 p. 5 illus., 3 illus. in color p.)
Contents:Part-I -- Foreword -- On the Push & Pull Protocol for Rumour Spreading -- Random Walks that Find Perfect Objects and the Lovasz Local Lemma -- Logit Dynamics with Concurrent Updates for Local Interaction Games -- Logit Dynamics with
Concurrent Updates for Local Interaction Games -- Carpooling in Social Networks -- Who to Trust for Truthful Facility Location? -- Metric and Spectral Properties of Dense Inhomogeneous Random Graphs -- On-Line List Colouring of Random
Graphs -- Approximation Algorithms for Computing Maximin Share Allocations -- An Alternate Proof of the Algorithmic Lovász Local Lemma -- Learning Game-Theoretic Equilibria via Query Protocols -- The Lower Tail: Poisson Approximation
Revisited -- Population Protocols for Majority in Arbitrary Networks -- The Asymptotic Value in Finite Stochastic Games -- Almost All 5-Regular Graphs Have a 3-Flow -- Part-II -- Foreword -- On the Short-Time Behaviour of the Implied
Volatility Skew for Spread Options and Applications -- An Alternative to CARMA Models via Iterations of Ornstein-Uhlenbeck Processes -- Euler-Poisson Schemes for Levy Processes -- On Time-Consistent Portfolios with Time-Inconsistent
Preferences -- A Generic Decomposition Formula for Pricing Vanilla Options under Stochastic Volatility Models -- A Highly Efficient Pricing Method for European-Style Options Based on Shannon Wavelets -- A New Pricing Measure in the
Barndor-Nielsen-Shephard Model for Commodity Markets
ISBN:9783319517537
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , Dynamics , Ergodic theory , Differential equations , Actuarial science , Convex geometry , Discrete geometry , Probabilities , Combinatorics , Mathematics , Combinatorics , Ordinary Differential Equations , Dynamical Systems and Ergodic Theory , Convex and Discrete Geometry , Probability Theory and Stochastic Processes , Actuarial Sciences
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:9783319500386:ONLINE Show nearby items on shelf
Title:Stochastic Modeling
Author(s): Nicolas Lanchier
Date:2017
Size:1 online resource (XIII, 303 p. 63 illus., 6 illus. in color p.)
Contents:1. Basics of Measure and Probability Theory -- 2. Distribution and Conditional Expectation -- 3. Limit Theorems -- 4. Stochastic Processes: General Definition -- 5. Martingales -- 6. Branching Processes -- 7. Discrete-time Markov
Chains -- 8. Symmetric Simple Random Walks -- 9. Poisson Point and Poisson Processes -- 10. Continuous-time Markov Chains -- 11. Logistic Growth Process -- 12. Wright-Fisher and Moran Models -- 13. Percolation Models -- 14. Interacting
Particle Systems -- 15. The Contact Process -- 16. The Voter Model -- 17. Numerical Simulations in C and Matlab
ISBN:9783319500386
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , Mathematical models , Probabilities , Mathematics , Probability Theory and Stochastic Processes , Mathematical Modeling and Industrial 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:9783319441658:ONLINE Show nearby items on shelf
Title:New Horizons in Fundamental Physics
Author(s):
Date:2017
Size:1 online resource (IX, 389 p. 134 illus., 95 illus. in color p.)
Contents:Part I Nuclear Structure and Superheavy Elements: Intertwining of Greiner's Theoretical Works and our Experimental Studies (J.H. Hamilton et al.) -- Eighty years of research on super-heavy nuclei (S. Hofmann) -- Perspectives of heavy
and superheavy nuclei research (A.V. Karpov et al.) -- Superheavy Element Chemistry - New experimental results challenge theoretical understanding (R. Eichler) -- 25 Years of FRS Experiments and New Horizons (H. Geissel et al.) -- SHE
Research with Rare-Isotope Beams, Challenges and Perspectives, and the new Generation of SHE Factories (G. Münzenberg et al.) -- Multi-modal Collinear Ternary Fission (W. von Oertzen et al.) -- From the stable to the exotic: clustering
in light nuclei (C. Beck) -- Towards Laser Spectroscopy of Superheavy Elements (H. Backe) -- Part II Physics of Heavy-Ion Collisions: Chemical freeze-out conditions in hadron resonance gas (V. Vovchenko et al.) -- The QCD Phase Diagram
and Hadron Formation in Relativistic Nuclear Collisions (F. Becattini et al.) -- Degrees of Freedom of the Quark Gluon Plasma, tested by Heavy Mesons (H. Berrehrah et al.) -- Electromagnetic emissivity of hot and dense matter (E.L.
Bratkovskaya at al.) -- Heavy-Ion Collisions: Status of Chemical Equilibrium (J. Cleymans) -- Novel developments of HYDJET++ model for ultra-relativistic heavy-ion collisions (L. Bravina et al.) -- Jet tomography in heavy-ion
collisions-Challenges, Results, and Open Problems (B. Betz) -- Part III QED - Strong Fields and High Precision: Probing QED Vacuum with Heavy Ions (J. Rafelski et al.) -- Laser assisted Breit-Wheeler and Schwinger processes (T. Nousch
et al.) -- A method to measure vacuum birefringence at FCC-ee (U.I. Uggerhoj et al.) -- Unifying Quantum Electro-Dynamics and Many-Body Perturbation Theory (I. Lindgren et al.) -- Part IV Astrophysics: Simulations of accretion disks
around massive stars (M. Algalán et al.).-Neutron Stars-Possibilities and Limits for Exotic Phases (S. Schramm et al.) -- The Case for an Underground Neutrino Facility in South Africa (Z.Z. Vilakazia et al.) -- Part IV Special topics:
Covariant Hamiltonian representation of Noether's theorem and its application to SU(N) gauge theories (J. Struckmeier et al.) -- Infrastructure Estimates for a Highly Renewable Global Electricity Grid (M. Dahl et al.) -- Power flow
tracing in complex networks (M. Schäfer et al.) -- Patent protection of high-level research results (T. J. Bürvenich)
ISBN:9783319441658
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Physics , Astrophysics , Nuclear physics , Heavy ions , Hadrons , Atoms , Matter , Physics , Nuclear Physics, Heavy Ions, Hadrons , Atoms and Molecules in Strong Fields, Laser Matter Interaction , Applications of Graph Theory and Complex Networks , Astrophysics and Astroparticles
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-2016-9789462392014:ONLINE Show nearby items on shelf
Title:Spaces of Continuous Functions
Author(s): G.L.M Groenewegen
Date:2016
Size:1 online resource (173 p.)
Note:10.2991/978-94-6239-201-4
Contents:Topological Preliminaries -- Metrizable Compact Spaces -- The Stone-Weierstrass Theorem -- Weak Topologies. The Alaoglu Theorem -- Riesz Spaces -- Yosida’s Representation Theorem -- The Stone-Čech compactification -- Evaluations -- C(X) determin es X -- The Riesz Representation Theorem -- Banach Algebras -- Other Scalars
ISBN:9789462392014
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Atlantis Studies in Mathematics: 4
Keywords: Mathematics , Functional analysis , Measure theory , Mathematics , Functional Analysis , Measure and Integration
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-2016-9789462391154:ONLINE Show nearby items on shelf
Title:Lectures on the Mathematics of Quantum Mechanics II: Selected Topics
Author(s): Gianfausto Dell'Antonio
Date:2016
Size:1 online resource (381 p.)
Note:10.2991/978-94-6239-115-4
Contents:Wigner functions Husimi distribution Semiclassical -- Pseudodiffential operators Calderon-Vaillantcourt -- Compact, Shatten-class Carleman operators -- Periodic potentials Theory of Bloch-Floquet-Zak -- Connection with the properties
of a crystal -- Lie-Trotter-Kato formula Wiener process -- Elements of probability theory Sigma algebras -- Ornstein-Uhlenbeck process -- Modular Operator Tomita-Takesaki theory -- Scattering theory Time-dependent formalism -- Time
independent formalisms Flux-across surfaces -- The method of Enss Propagation estimates -- The N-body Quantum System -- Positivity preserving maps -- Hypercontractivity. Logarithmic Sobolev inequalities -- Measure (gage) spaces.
Clifford algebra, C.A.R. relations
ISBN:9789462391154
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Atlantis Studies in Mathematical Physics: Theory and Applications: 2
Keywords: Physics , Mathematical physics , Quantum physics , Mechanics , Physics , Quantum Physics , Mathematical Physics , Mechanics
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-2016-9783319335728:ONLINE Show nearby items on shelf
Title:Open Problems in the Geometry and Analysis of Banach Spaces
Author(s): Antonio J Guirao
Date:2016
Size:1 online resource (169 p.)
Note:10.1007/978-3-319-33572-8
Contents:Preface -- Basic linear structure -- Basic linear geometry -- Biorthogonal systems -- Smoothness, smooth approximation -- Nonlinear geometry -- Some more nonseparable problems -- Some applications -- Bibliography -- List of concepts and problems -- Symbol index -- Subject index.
ISBN:9783319335728
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Approximation theory , Functional analysis , Measure theory , Convex geometry , Discrete geometry , Algebraic topology , Mathematics , Functional Analysis , Approximations and Expansions , Measure and Integration , Convex and Discrete 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-2016-9783319310893:ONLINE Show nearby items on shelf
Title:Brownian Motion, Martingales, and Stochastic Calculus
Author(s): Jean-François Le Gall
Date:2016
Size:1 online resource (1 p.)
Note:10.1007/978-3-319-31089-3
Contents:Gaussian variables and Gaussian processes -- Brownian motion -- Filtrations and martingales -- Continuous semimartingales -- Stochastic integration -- General theory of Markov processes -- Brownian motion and partial differential equations -- Stoch astic differential equations -- Local times -- The monotone class lemma -- Discrete martingales -- References
ISBN:9783319310893
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Graduate Texts in Mathematics: 274
Keywords: Mathematics , Measure theory , Economics, Mathematical , System theory , Mathematical models , Probabilities , Mathematics , Probability Theory and Stochastic Processes , Quantitative Finance , Measure and Integration , Mathematical Modeling and Industrial Mathematics , Systems Theory, Control
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-2016-9783319307442:ONLINE Show nearby items on shelf
Title:Real Analysis
Author(s): Peter A Loeb
Date:2016
Size:1 online resource (274 p.)
Note:10.1007/978-3-319-30744-2
Contents:Preface -- Set Theory and Numbers -- Measure on the Real Line -- Measurable Functions -- Integration -- Differentiation and Integration -- General Measure Spaces -- Introduction to Metric and Normed Spaces -- Hilbert Spaces -- Topological Spaces -- Measure Construction -- Banach Spaces -- Appendices -- References.
ISBN:9783319307442
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Functional analysis , Measure theory , Functions of real variables , Mathematics , Real Functions , Functional Analysis , Measure and Integration
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-2016-9783319306209:ONLINE Show nearby items on shelf
Title:Introduction to Probability with Statistical Applications
Author(s): Géza Schay
Date:2016
Edition:2nd ed. 2016
Size:1 online resource (385 p.)
Note:10.1007/978-3-319-30620-9
Contents:Introduction -- The Algebra of Events -- Combinatorial Problems -- Probabilities -- Random Variables -- Expectation, Variance, Moments -- Some Special Distributions -- The Elements of Mathematical Statistics
ISBN:9783319306209
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Mathematical statistics , Measure theory , Applied mathematics , Engineering mathematics , Probabilities , Statistics , Mathematics , Probability Theory and Stochastic Processes , Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Scien , Probability and Statistics in Computer Science , Measure and Integration , Applications of 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-2016-9783319295350:ONLINE Show nearby items on shelf
Title:The Method of Rigged Spaces in Singular Perturbation Theory of Self-Adjoint Operators
Author(s): Volodymyr Koshmanenko
Date:2016
Size:1 online resource (237 p.)
Note:10.1007/978-3-319-29535-0
Contents:Preface -- Introduction -- 1.Preliminaries -- 2.Symmetric Operators and Closable Quadratic Forms -- 3.Self-adjoint Extensions of Symmetric Operators -- 4.Rigged Hilbert Spaces -- 5.Singular Quadratic Forms -- 6.Dense Subspaces in Scales of Hilbert Spaces -- 7.Singular Perturbations of Self-adjoint Operators -- 8.Super-singular Perturbations -- 9.Some Aspects of the Spectral Theory -- References -- Subject Index -- Notation Index
ISBN:9783319295350
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Operator Theory: Advances and Applications: 253
Keywords: Mathematics , Measure theory , Operator theory , Mathematical physics , Mathematics , Operator Theory , Measure and Integration , Mathematical Applications in the Physical Sciences
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-2016-9783319290461:ONLINE Show nearby items on shelf
Title:Measure and Integration
Author(s): Hari Bercovici
Date:2016
Edition:1st ed. 2016
Size:1 online resource (300 p.)
Note:10.1007/978-3-319-29046-1
Contents:Rings of sets -- Measurability -- Integrals and Measures -- Convergence Theorems for Lebesgue Integrals -- Existence and Uniqueness of Measures -- Signed Measures, Complex Measures and Absolute Continuity -- Measure and Topology -- Product Measures -- The Lp Spaces -- Fourier Analysis -- Standard Measure Spaces.
ISBN:9783319290461
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Measure theory , Functions of real variables , Mathematics , Measure and Integration , Real Functions
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-2016-9783319278735:ONLINE Show nearby items on shelf
Title:New Trends in Applied Harmonic Analysis Sparse Representations, Compressed Sensing, and Multifractal Analysis
Author(s):
Date:2016
Size:1 online resource (19 p.)
Note:10.1007/978-3-319-27873-5
Contents:Multifractal Analysis of Cantor-like Measures -- Multifractal Analysis and Wavelets -- An Introduction to Mandelbrot Cascades -- Lebesgue-type Inequalities for Greedy Approximation -- Results on Non-linear Approximation for Wavelet Bases in Weighte d Function Spaces -- Consequences of the Marcus/Spielman/Srivastava Solution of the Kadison-Singer Problem -- Model Sets and New Versions pf Shannon Sampling Theorem -- Stylometry and Mathematical Study of Authorship -- Thoughts on Numerical and Conceptua l Harmonic Analysis
ISBN:9783319278735
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Harmonic analysis , Fourier analysis , Measure theory , Computer science , Computer mathematics , Mathematics , Fourier Analysis , Abstract Harmonic Analysis , Signal, Image and Speech Processing , Measure and Integration , Mathematical Applications in Computer Science
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-2016-9783319278179:ONLINE Show nearby items on shelf
Title:Exercises in Analysis Part 2: Nonlinear Analysis
Author(s): Leszek Gasiński
Date:2016
Size:1 online resource (1062 p.)
Note:10.1007/978-3-319-27817-9
Contents:1. Function Spaces -- 2. Nonlinear and Multivalued Maps -- 3. Smooth and Nonsmooth Calculus -- 4. Degree Theory. Fixed Point Theory -- 5. Variational and Topological Methods -- Index
ISBN:9783319278179
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Functional analysis , Measure theory , Probabilities , Topology , Mathematics , Functional Analysis , Measure and Integration , Probability Theory and Stochastic Processes , 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-2016-9783319252742:ONLINE Show nearby items on shelf
Title:The Special Theory of Relativity Foundations, Theory, Verification, Applications
Author(s): Costas Christodoulides
Date:2016
Edition:1st ed. 2016
Size:1 online resource (480 p.)
Note:10.1007/978-3-319-25274-2
Contents:Historical Introduction -- The Main Landmarks in the Development of the Special Theory of Relativity -- The Principle of Relativity of Galileo. Galileo’s Invariance Hypothesis. The Law of Inertia. Inertial Frames of Reference
Relativity -- Rømer and the Speed of Light -- Newton’s Laws of Motion. Inertia and Inertial Frames of Reference -- The Aberration of Light -- Arago’s Measurements Concerning the Constancy of the Speed of Light from Stars --
Measurements of the Speed of Light in the Laboratory -- Attempts to Measure the Dragging of Aether by Moving Media -- Maxwell’s Equations and the Wave Equation -- The Experiment of Michelson and Morley -- The Lorentz-Fitzgerald
Contraction Hypothesis -- The Increase of the Mass of the Electron with Speed -- The Invariance of Maxwell’s Equations and the Lorentz Transformation -- The Formulation of the Special Theory of Relativity -- Prolegomena -- Inertial
Frames of Reference -- The Calibration of a Frame of Reference and the Synchronization of its Clocks -- The Relativity of Simultaneity -- The Relativity of Time and Length -- The Inevitability of the Special Theory of Relativity --
Relativistic Kinematics -- The Lorentz Transformation for the Coordinates of an Event -- The Transformation of Velocity -- The Transformation of Acceleration -- Applications of Relativistic Kinematics -- The ‘Meson’ Paradox -- The
apparent focusing of fast charged particle beams due to the dilation of time -- The Sagnac Effect -- Clocks Moving Around the Earth -- The Experiment of Hafele and Keating -- Einstein’s Train -- The Twin Paradox -- Motion with a
Constant Proper Acceleration. Hyperbolic Motion -- Two Successive Lorentz Transformations. The Wigner Rotation -- Optical Phenomena -- The Aberration of Light -- Fizeau’s Experiment. Fresnel’s Aether Dragging Theory -- The Doppler
Effect -- Relativistic Beaming or the Headlight Effect -- The Pressure Exerted by Light -- Relativistic Dynamics -- The Dfinition of Relativistic Momentum. Relativistic Mass -- Relativistic Energy -- The Relationship Between Momentum
and Energy -- Classical Approximations -- Particles with Zero Rest Mass -- The Conservation of Momentum and of Energy -- The Equivalence of Mass and Energy -- The Transformation of Momentum and Energy -- The Zero-Momentum Frame of
Reference -- The Transformation of the Total Momentum and the Total Energy of a System of Particles -- The Collision of two Identical Particles -- The Transformation of Force -- Motion Under the Influence of a Constant Force. The
Motion of a Charged Particle in a Constant Uniform Electric Field -- The Motion of a Charged Particle in a Constant Homogeneous Magnetic Field -- Applications of Relativistic Dynamics -- The Compton Effect -- The Inverse Compton Effect
-- The Consequences of the Special Theory of Relativity on the Design of Particle Accelerators -- Mass Defect and Binding Energy of the Atomic Nucleus -- Threshold Energy -- The General Equations for the Motion of a Relativistic Rocket
-- Minkowski’s Spacetime and Four-Vectors -- The ‘World’ of Minkowski -- Four-Vectors -- Electromagnetism -- Introduction -- The Invariance of Electric Charge -- The Transformations of the Electric Field and the Magnetic Field -- The
Fields of a Moving Electric Charge -- The Derivation of the Differential form of the Biot-Savart Law from Coulomb’s Law -- The Force Exerted on a Moving Charge by an Electric Current -- Experiments -- The Speed of Light -- The Aether
-- The Dilation of Time -- The Relativistic Doppler Effect -- The Contraction of Length -- The Test of the Predictions of Relativistic Kinematics -- The Sagnac Effect -- The Relativistic Mass -- The Equivalence of Mass and Energy --
The Test of the Predictions of Relativistic Dynamics -- The Invariance of Electric Charge -- Appendix 1. The Paradox of the Room and the Rod -- Appendix 2. The Appearance of Moving Bodies -- Appendix 3. The Derivation of the Expression
for the Relativistic Mass in General -- Appendix .4. The Invariance of the Equations of Maxwell and the Wave Equation Under the Lorentz Transformation -- Appendix 5. Tachyons -- Appendix 6. The Lorentz Transformation in Matrix Form --
Appendix 7. Table of Some Functions of the Speed -- Solutions of the Problem
ISBN:9783319252742
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Gravitation , Observations, Astronomical , Astronomy , Physics , Classical and Quantum Gravitation, Relativity Theory , Astronomy, Observations and Techniques
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-2016-9783319210186:ONLINE Show nearby items on shelf
Title:Integral Operators in Non-Standard Function Spaces Volume 2: Variable Exponent Hölder, Morrey–Campanato and Grand Spaces
Author(s): Vakhtang Kokilashvili
Date:2016
Size:1 online resource (1003 p.)
Note:10.1007/978-3-319-21018-6
Contents:IV: Grand Lebesgue Spaces -- 14 Maximal Functions and Potentials -- 15 Grand Lebesgue Spaces on Sets with Infinite Measure -- V: Grand Morrey Spaces -- 16 Maximal Functions, Fractional and Singular Integrals -- 17 Multiple Operators on the Cone of Decreasing Functions -- A: Grand Bochner Spaces -- Bibliography -- Symbol Index -- Subject Index.IV: Grand Lebesgue Spaces -- 14 Maximal Functions and Potentials -- 15 Grand Lebesgue Spaces on Sets with Infinite Measure -- V: Grand Morrey Spaces -- 16 Max imal Functions, Fractional and Singular Integrals -- 17 Multiple Operators on the Cone of Decreasing Functions -- A: Grand Bochner Spaces -- Bibliography -- Symbol Index -- Subject Index
ISBN:9783319210186
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Operator Theory: Advances and Applications: 249
Keywords: Mathematics , Functional analysis , Operator theory , Mathematics , Operator Theory , 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-2016-9783319202242:ONLINE Show nearby items on shelf
Title:Gravity: Where Do We Stand?
Author(s):
Date:2016
Edition:1st ed. 2016
Size:1 online resource (103 p.)
Note:10.1007/978-3-319-20224-2
Contents:Introduction -- Gravity: Newtonian, post-Newtonian and General Relativistic -- Newtonian Gravity and its classical tests (Equivalence Principle, Measure of G, 1/r2 dependence) -- Gravitational Tests with Interplanetary Probes --
Probing gravity with second generation lunar laser ranging -- Fundamental physics with the LAGEOS satellites -- The role of binary pulsars in testing Gravity Theories -- Gravitational waves: theory, sources, detectors -- Possible low
energy manifestations of strings and gravity -- Effective Field Theories with Lorentz Violations and their observational constraints -- Search for generic violations of Lorentz invariance in the Standard Model Extension formalism --
The MOND-TeVeS theory and the lensing results from the Bullet Cluster
ISBN:9783319202242
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Quantum field theory , String theory , Gravitation , Astrophysics , Cosmology , Physics , Classical and Quantum Gravitation, Relativity Theory , Cosmology , Astrophysics and Astroparticles , Quantum Field Theories, String Theory
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-2016-9781447168119:ONLINE Show nearby items on shelf
Title:Lectures on Functional Analysis and the Lebesgue Integral
Author(s): Vilmos Komornik
Date:2016
Size:1 online resource (403 p.)
Note:10.1007/978-1-4471-6811-9
Contents:Some papers of general interest -- Topological prerequisites -- Part 1 Functional analysis -- Hilbert spaces -- Banach spaces -- Locally convex spaces -- Part 2 The Lebesgue integral -- Monotone functions -- The Lebesgue integral in R -- Generalize d Newton-Leibniz formula -- Integrals on measure spaces -- Part 3 Function spaces -- Spaces of continuous functions -- Spaces of integrable functions -- Almost everywhere convergence -- Hints and solutions to some exercises -- Bibliography -- Teaching rem arks -- Subject index -- Name index
ISBN:9781447168119
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Approximation theory , Functional analysis , Measure theory , Mathematics , Functional Analysis , Measure and Integration , Approximations and Expansions
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-2014-9789401788250:ONLINE Show nearby items on shelf
Title:Measurement and Probability [electronic resource] : A Probabilistic Theory of Measurement with Applications
Author(s): Giovanni Battista Rossi
Date:2014
Publisher:Dordrecht : Springer Netherlands : Imprint: Springer
Size:1 online resource
Note:Measurement plays a fundamental role both in physical and behavioral sciences, as well as in engineering and technology: it is the link between abstract models and empirical reality and is a privileged method of gatheringinformation from the real wor ld. Is it possible to develop a single theory of measurement for the various domains of science and technology in which measurement is involved? This book takes the challenge by addressing the followingmain issues: What is the meaning of measurement? How do we measure? What can be measured? A theoretical framework that could truly be shared by scientists in different fields, ranging from physics and engineering to psychology isdeveloped. The future in fact will require greater collaboration between scienc e and technology and between different sciences. Measurement, which played a key role in the birth of modern science, can act as an essentialinterdisciplinary tool and language for this new scenario. A sound theoretical basis for addressing key problems i n measurement is provided. These include perceptual measurement, the evaluation of uncertainty, the evaluation ofinter-comparisons, the analysis of risks in decision-making and the characterization of dynamical measurement. Currently, increasing attention is paid to these issues due to their scientific, technical, economic and social impact. Thebook proposes a unified probabilistic approach to them which may allow more rational and effective solutions to be reached. Great care was taken to make the text a s accessible as possible in several ways. Firstly, by giving preferenceto as interdisciplinary a terminology as possible secondly, by carefully defining and discussing all key terms. This ensures that a wide readership, including people from different mat hematical backgrounds and different understandingsof measurement can all benefit from this work. Concerning mathematics, all the main results are preceded by intuitive discussions and illustrated by si
Contents:Part I: General Problems
1 Measurability
2 Uncertainty
Part II: Theory
3 The Measurement Scale: Deterministic Framework
4 The Measurement Scale: Probabilistic Approach
5 The Measurement Process
6 Inference in Measurement
7 Multidimensional Measurements
Part III: Applications
8 Perceptual Measurement
9 The Evaluation of Measurement Uncertainty
10 Evaluating Inter
Comparisons
11 Measurement
Based Decisions
12 Dynamic Measurement
Appendix
Bibliography
ISBN:9789401788250
Series:eBooks
Series:SpringerLink
Series:Springer Series in Measurement Science and Technology, 2198-7807
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematics , Engineering , Psychometrics
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-2014-9788132218869:ONLINE Show nearby items on shelf
Title:Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations [electronic resource]
Author(s): Jzef Bana
Mohammad Mursaleen
Date:2014
Publisher:New Delhi : Springer India : Imprint: Springer
Size:1 online resource
Note:This book deals with the study of sequence spaces, matrix transformations, measures of noncompactness and their various applications. The notion of measure of noncompactness is one of the most useful ones available and has manyapplications. Thebookdi scusses some of the existence results for various types of differential and integral equations with the help of measures of noncompactness in particular, the Hausdorff measure of noncompactness has beenapplied to obtain necessary and sufficient conditions for matrix operators between BK spaces to be compact operators. Thebookconsists of eight self-contained chapters. Chapter 1 discussesthe theory of FK spaces andChapter2various duals of sequence spaces, which are used to characterize the matrix classes be tween these sequence spaces (FK and BK spaces) in Chapters 3 and 4. Chapter 5 studies the notion of a measure of noncompactness and its properties.The techniques associated with measures of noncompactness are applied to characterize the compact matrix ope rators in Chapters 6. In Chapters 7 and 8, some of the existence results are discussed for various types of differential andintegral equations, which are obtained with the help of argumentations based on compactness conditions
Contents:Chapter 1. Introduction to FK spaces
Chapter 2. Matrix Transformations
Chapter 3. Some new sequence spaces of non
absolute type
Chapter 4. Some non
classical sequence spaces
Chapter 5. Measures of noncompactness
Chapter 6. Application to compact matrix operators
Chapter 7. Applications to infinite systems of differential equations
Chapter 8. Applications to integral equations
ISBN:9788132218869
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Integral equations , Operator theory , Differential Equations , Differential equations, partial , 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-2014-9784431551089:ONLINE Show nearby items on shelf
Title:Weakly Wandering Sequences in Ergodic Theory [electronic resource]
Author(s): Stanley Eigen
Arshag Hajian
Yuji Ito
Vidhu Prasad
Date:2014
Publisher:Tokyo : Springer Japan : Imprint: Springer
Size:1 online resource
Note:The appearance of weakly wandering (ww) sets and sequences for ergodic transformations over half a century ago was an unexpected and surprising event. In time it was shown that ww and related sequences reflected significant anddeep properties of ergo dic transformations that preserve an infinite measure. This monograph studies in a systematic way the role of ww and related sequences in the classification of ergodic transformations preserving an infinitemeasure. Connections of these sequences to additi ve number theory and tilings of the integers are also discussed. The material presented is self-contained and accessible to graduate students. A basic knowledge of measure theory isadequate for the reader
ISBN:9784431551089
Series:eBooks
Series:SpringerLink
Series:Springer Monographs in Mathematics, 1439-7382
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Functional analysis , Number theory
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-2014-9783662439203:ONLINE Show nearby items on shelf
Title:Geometry and Analysis of Fractals [electronic resource] : Hong Kong, December 2012
Author(s): De-Jun Feng
Ka-Sing Lau
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This volume collects thirteen expository or survey articles on topics including Fractal Geometry, Analysis of Fractals, Multifractal Analysis, Ergodic Theory and Dynamical Systems, Probability and Stochastic Analysis, written bythe leading experts in their respective fields. The articles are based on papers presented at the International Conference on Advances on Fractals and Related Topics, held on December 10-14, 2012 at the Chinese University of Hong Kong.The volume offers insights into a number o f exciting, cutting-edge developments in the area of fractals, which has close ties to and applications in other areas such as analysis, geometry, number theory, probability and mathematicalphysics.
Contents:Mandelbrot cascades and related topics
Law of pure types and some exotic spectra of fractal spectral measures
The role of transfer operators and shifts in the study of fractals: encoding
models, analysis and geometry, commutative and non
commutative
Generalized energy inequalities and higher multifractal moments
Some Aspects of Multifractal analysis
Heat kernels on metric measure spaces
Stochastic completeness of jump processes on metric measure spaces
Self similar sets, entropy and additive combinatorics
Quasisymmetric modification of metrics on self
similar sets
Re
ISBN:9783662439203
Series:eBooks
Series:SpringerLink
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v88
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Distribution (Probability theory)
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-2014-9783642450822:ONLINE Show nearby items on shelf
Title:A Measure Theoretical Approach to Quantum Stochastic Processes [electronic resource]
Author(s): Wilhelm Waldenfels
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This monograph takes as starting point that abstract quantum stochastic processes can be understood as a quantum field theory in one space and in one time coordinate. As a result it is appropriate to represent operators as powerseries of creation and annihilation operators in normal-ordered form, which can be achieved using classical measure theory. Considering in detail four basic examples (e.g. a two-level atom coupled to a heat bath of oscillators), ineach case the Hamiltonian of the associated o ne-parameter strongly continuous group is determined and the spectral decomposition is explicitly calculated in the form of generalized eigen-vectors. Advanced topics include the theoryof the Hudson-Parthasarathy equation and the amplified oscillator pro blem. To that end, a chapter on white noise calculus has also been included
Contents:Weyl Algebras
Continuous Sets of Creation and Annihilation Operators
One
Parameter Groups
Four Explicitly Calculable One
Excitation Processes
White Noise Calculus
Circled Integrals
White Noise Integration
The Hudson
Parthasarathy Differential Equation
The Amplifies Oscillator
Approximation by Coloured Noise
Index
ISBN:9783642450822
Series:eBooks
Series:SpringerLink
Series:Lecture Notes in Physics, 0075-8450 : v878
Series:Physics and Astronomy (Springer-11651)
Keywords: Quantum theory , 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-2014-9783642405235:ONLINE Show nearby items on shelf
Title:An Introduction to Markov Processes [electronic resource]
Author(s): Daniel W Stroock
Date:2014
Edition:2nd ed. 2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This book provides a rigorous but elementary introduction to the theory of Markov Processes on a countable state space. It should be accessible to students with a solid undergraduate background in mathematics, including studentsfrom engineering, econ omics, physics, and biology. Topics covered are: Doeblin's theory, general ergodic properties, and continuous time processes.Applications are dispersed throughout the book. In addition, a whole chapter isdevoted to reversible processes and the use of thei r associated Dirichlet forms to estimate the rate of convergence to equilibrium. These results are then applied to the analysis of the Metropolis (a.k.a simulated annealing) algorithm.The corrected and enlarged 2nd edition contains a new chapter in which the author develops computational methods for Markov chains on a finite state space. Most intriguing isthe section with a new technique for computing stationarymeasures, which is applied to derivations of Wilson's algorithm and Kirchoff's formula for span ning trees in a connected graph
Contents:Preface
Random Walks, a Good Place to Begin
Doeblin's Theory for Markov Chains
Stationary Probabilities
More about the Ergodic Theory of Markov Chains
Markov Processes in Continuous Time
Reversible Markov Processes
A minimal Introduction to Measure Theory
Notation
References
Index
ISBN:9783642405235
Series:eBooks
Series:SpringerLink
Series:Graduate Texts in Mathematics, 0072-5285 : v230
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Distribution (Probability theory)
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-2014-9783319095318:ONLINE Show nearby items on shelf
Title:Translational Recurrences [electronic resource] : From Mathematical Theory to Real-World Applications
Author(s): Norbert Marwan
Michael Riley
Alessandro Giuliani
Jr. Webber Charles L
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book features 13 papers presented at the Fifth International Symposium on Recurrence Plots, held August 2013 in Chicago, IL. It examines recent applications and developments in recurrence plots and recurrence quantifi cationanalysis (RQA) with s pecial emphasis on biological and cognitive systems and the analysis of coupled systems using cross-recurrence methods. Readers will discover new applications and insights into a range of systems provided byrecurrence plot analysis and new theoretical and mathematical developments in recurrence plots. Recurrence plot based analysis is a powerful tool that operates on real-world complex systems that are nonlinear, non-stationary, noisy, ofany statistical distribution, free of any particular model type, and not particularly long. Quantitative analyses promote the detection of system state changes, synchronized dynamical regimes, or classifi cation of system states. Th ebook will be of interest to an interdisciplinary audience of recurrence plot users and re searchers interested in time series analysis of complex systems in general
Contents:1 A Recurrence Plot
based Distance Measure: S. Spiegel et al
2 Fast computation of recurrences in long time series: T. Rawald et al
3 Unthresholded recurrence plots for complex
valued representations of narrow band signals: A. Sipers et al
4 Quantifying redundancy and information content of lines in recurrence plots using the theory of framework rigidity: A. Sipers et al
5 Recent advances in non
stationary signal processing based on Recurrence Plot Analysis concept: C. Ioana et al
6 A Recurrence
Based Approach for Feature Extraction in Brain
Computer Interface Systems: L.F.S
ISBN:9783319095318
Series:eBooks
Series:SpringerLink
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v103
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science , Visualization , Mathematical statistics
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-2014-9783319081298:ONLINE Show nearby items on shelf
Title:Tychastic Measure of Viability Risk [electronic resource]
Author(s): Jean-Pierre Aubin
Luxi Chen
Olivier Dordan
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book presents a forecasting mechanism of the price intervals for deriving the SCR (solvency capital requirement) eradicating the risk during the exercise period on one hand, and measuring the risk by computing the hedgingexit time function assoc iating with smaller investments the date until which the value of the portfolio hedges the liabilities on the other. This information, summarized under the term tychastic viability measure of risk is anevolutionary alternative to statistical measures, whe n dealing with evolutions under uncertainty. The book is written by experts in the field and the target audience primarily comprises research experts and practitioners
Contents:Part I Description, Illustration and Comments of the Results
The Viabilist Portfolio Performance and Insurance Approach
Technical and Quantitative Analysis of Tubes
Uncertainty on Uncertainties
Part II Mathematical Proofs
Why Viability Theory? A Survival Kit
General Viabilist Portfolio Performance and Insurance Problem
ISBN:9783319081298
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Finance , Distribution (Probability theory)
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-2014-9783319078427:ONLINE Show nearby items on shelf
Title:Probability on Compact Lie Groups [electronic resource]
Author(s): David Applebaum
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Probability theory on compact Lie groups deals with the interaction between chance and symmetry, a beautiful area of mathematics of great interest in its own sake but which is now also finding increasing applicationsin statistics and engineering (par ticularly with respect to signal processing). The author gives a comprehensive introduction to some of the principle areas of study, with an emphasis on applicability. The most important topicspresented are: the study of measures via the non-commutative F ourier transform, existence and regularity of densities, properties of random walks and convolution semigroups of measures, and the statistical problem of deconvolution. Theemphasis on compact (rather than general) Lie groups helps readers to get acquaint ed with what is widely seen as a difficult field but which is also justified by the wealth of interesting results at this level and the importance ofthese groups for applications. The book is primarily aimed at researchers working in probability, stochast ic analysis and harmonic analysis on groups. It will also be of interest to mathematicians working in Lie theory and physicists,statisticians and engineers who are working on related applications. A background in first year graduate level measure theoreti c probability and functional analysis is essential a background in Lie groups and representation theory iscertainly helpful but the first two chapters also offer orientation in these subjects
Contents:Introduction
1.Lie Groups
2.Representations, Peter
Weyl Theory and Weights
3.Analysis on Compact Lie Groups
4.Probability Measures on Compact Lie Groups
5.Convolution Semigroups of Measures
6.Deconvolution Density Estimation
Appendices
Index
Bibliography
ISBN:9783319078427
Series:eBooks
Series:SpringerLink
Series:Probability Theory and Stochastic Modelling, 2199-3130 : v70
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Topological Groups , Harmonic analysis , Fourier analysis , Functional analysis , Distribution (Probability theory)
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-2014-9783319067612:ONLINE Show nearby items on shelf
Title:Relativity and Gravitation [electronic resource] : 100 Years after Einstein in Prague
Author(s): Ji Bik
Tom Ledvinka
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:In early April 1911 Albert Einstein arrived in Prague to become full professor of theoretical physics at the German part of Charles University. It was there, for the first time, that he concentrated primarily on the problem ofgravitation. Before he l eft Prague in July 1912 he had submitted the paper Relativitt und Gravitation: Erwiderung auf eine Bemerkung von M. Abraham in which he remarkably anticipated what a future theory of gravity should looklike. At the occasion of the Einstein-in-Prague cente nary an international meeting was organized under a title inspired by Einstein's last paper from the Prague period: Relativity and Gravitation, 100 Years after Einstein inPrague. The main topics of the conference included: classical relativity, numerical relativity, relativistic astrophysics and cosmology, quantum gravity, experimental aspects of gravitation, and conceptual and historical issues. Theconference attracted over 200 scientists from 31 countries, among them a number of leading experts in the f ield of general relativity and its applications. This volume includes abstracts of the plenary talks and full texts ofcontributed talks and articles based on the posters presented at the conference. These describe primarily original results of the authors . Full texts of the plenary talks are included in the volume General Relativity, Cosmology andAstrophysics--Perspectives 100 Years after Einstein in Prague, eds. J. Bik and T. Ledvinka, published also by Springer Verlag
Contents:Abstracts of Plenary Talks
Part I Classical General Relativity
Exact Hairy Black Holes
Black Hole Formation from a Complete Past for the Einstein
Vlasov System
How to Measure Deviation from the Kerr Initial Data Recent Progress
Hidden Symmetries of the Dirac Equation in Curved Space
time
Geometrostatics: the Geometry of Static Space
times
The Gravitational Equation in Higher Dimensions
Geometric Inequalities for Black Holes
Scalar Fields on anti
de Sitter Background
Canonical Super energy Tensors in General Relativity: a Reappraisal
Einsteins Prague F
ISBN:9783319067612
Series:eBooks
Series:SpringerLink
Series:Springer Proceedings in Physics, 0930-8989 : v157
Series:Physics and Astronomy (Springer-11651)
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-2014-9783319062662:ONLINE Show nearby items on shelf
Title:Operator Theory in Harmonic and Non-commutative Analysis [electronic resource] : 23rd International Workshop in Operator Theory and its Applications, Sydney, July 2012
Author(s): Joseph A Ball
Michael A Dritschel
A.F.M Elst
Pierre Portal
Denis Potapov
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Birkhuser
Size:1 online resource
Note:This book comprisesthe proceedings of the XXIII International Workshop on Operator Theory and its Applications (IWOTA 2012), which was held at the University of New South Wales (Sydney, Australia) from 16 July to 20 July 2012.It includes twelve artic les presenting both surveys of current research in operator theory and original results. The contributors are A. Amenta P. Auscher and S. Stahlhut W. Bauer C. Herrera Yaez and N. Vasilevski C.C. Cowen, S. Jungand E. Ko R.E. Curto, I.S. Hwang and W.Y. Lee S. Dey and K.J. Haria F. Gesztesy and R. Weikard G. Godefroy B. Jefferies S. Patnaik and G. Weiss W.J. Ricker A. Skripka
Contents:Introduction
Tent Spaces over Metric Measure Spaces under Doubling and Related Assumptions
Remarks on Functional Calculus for Perturbed First
order Dirac Operators
(m, )
Berezin Transform and Approximation of Operators on Weighted Bergman Spaces over the Unit Ball
Normal and Cohyponormal Weighted Composition Operators on H2
A Subnormal Toeplitz Completion Problem
Generalized Repeated Interaction Model and Transfer Functions
Some Remarks on the Spectral Problem Underlying the CamassaHolm Hierarchy
Remarks on Spaces of Compact Operators between Reflexive Banach Space
ISBN:9783319062662
Series:eBooks
Series:SpringerLink
Series:Operator Theory: Advances and Applications, 0255-0156 : v240
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Operator theory
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-2014-9783319061764:ONLINE Show nearby items on shelf
Title:Exercises in Analysis [electronic resource] : Part 1
Author(s): Leszek Gasiksi
Nikolaos S Papageorgiou
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Exercises in Analysis will be published in two volumes. This first volume covers problems in five core topics of mathematical analysis: metric spaces topological spaces measure, integration, and Martingales measure andtopology and functional analysis . Each of five topics correspond to a different chapter with inclusion of the basic theory and accompanying main definitions and results, followed by suitable comments and remarks for betterunderstanding of the material. At least 170 exercises/problems ar e presented for each topic, with solutions available at the end of each chapter. The entire collection of exercises offers a balanced and useful picture for theapplication surrounding each topic. This nearly encyclopedic coverage of exercises in mathemat ical analysis is the first of its kind and is accessible to a wide readership. Graduate students will find the collection of problemsvaluable in preparation for their preliminary or qualifying exams as well as for testing their deeper understanding of the material. Exercises are denoted by degree of difficulty. Instructors teaching courses that include one or all ofthe above-mentioned topics will find the exercises of great help in course preparation. Researchers in analysis may find this Work useful as a summary of analytic theories published in one accessible volume
Contents:1. Metric Spaces
2. Topological Spaces
3. Measure, Integral, and Martingales
4. Measures and Topology
5. Functional Analysis
Other Problem Books
List of Symbols
Index
ISBN:9783319061764
Series:eBooks
Series:SpringerLink
Series:Problem Books in Mathematics, 0941-3502
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Distribution (Probability theory) , 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-2014-9783319058528:ONLINE Show nearby items on shelf
Title:An Introduction to Random Interlacements [electronic resource]
Author(s): Alexander Drewitz
Balzs Rth
Artm Sapozhnikov
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Thisbook gives a self-contained introduction to the theory of random interlacements. The intended reader of the book is a graduate student with a background in probability theory who wants to learn about the fundamental resultsand methods of this rap idly emerging field of research. The model was introduced by Sznitman in 2007 in order to describe the local picture left by the trace of a random walk on a large discrete torus when it runs up to timesproportional to the volume of the torus. Random inter lacements is a new percolation model on the d-dimensional lattice. The main results covered by the book include the full proof of the local convergence of random walk trace on thetorus to random interlacements and the full proof of the percolation phase t ransition of the vacant set of random interlacements in all dimensions. The reader will become familiar with the techniques relevant to working with theunderlying Poisson Process and the method of multi-scale renormalization, which helps in overcoming the challenges posed by the long-range correlations present in the model. The aim is to engage the reader in the world of randominterlacements by means of detailed explanations, exercises and heuristics. Each chapter ends with short survey of related results with up-to date pointers to the literature
Contents:Random Walk, Green Function, Equilibrium Measure
Random Interlacements: First Definition and Basic Properties
Random Walk on the Torus and Random Interlacements
Poisson Point Processes
Random Interlacements Point Process
Percolation of the Vacant Set
Source of Correlations and Decorrelation via Coupling
Decoupling Inequalities
Phase Transition of Vu
Coupling of Point Measures of Excursions
ISBN:9783319058528
Series:eBooks
Series:SpringerLink
Series:SpringerBriefs in Mathematics, 2191-8198
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Distribution (Probability theory)
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-2014-9783319057231:ONLINE Show nearby items on shelf
Title:Invariant Probabilities of Transition Functions [electronic resource]
Author(s): Radu Zaharopol
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The structure of the set of all the invariant probabilities and the structure of various types of individual invariant probabilities of a transition function are two topics of significant interest in the theory of transitionfunctions, and are studied in this book. The results obtained are useful in ergodic theory and the theory of dynamical systems, which, in turn, can be applied in various other areas (like number theory). They are illustrated usingtransition functions defined by flows, semiflows, a nd one-parameter convolution semigroups of probability measures. In this book, all results on transition probabilities that have been published by the author between 2004 and 2008 areextended to transition functions. The proofs of the results obtained are new. For transition functions that satisfy very general conditions the book describes an ergodic decomposition that provides relevant information on the structureof the corresponding set of invariant probabilities. Ergodic decomposition means a splitting of the state space, where the invariant ergodic probability measures play a significant role. Other topics covered include: characterizationsof the supports of various types of invariant probability measures and the use of these to obtain criteria for un ique ergodicity, and the proofs of two mean ergodic theorems for a certain type of transition functions. The book will beof interest to mathematicians working in ergodic theory, dynamical systems, or the theory of Markov processes. Biologists, physicists and economists interested in interacting particle systems and rigorous mathematics will also findthis book a valuable resource. Parts of it are suitable for advanced graduate courses. Prerequisites are basic notions and results on functional analysis, gen eral topology, measure theory, the Bochner integral and some of itsapplications
Contents:Introduction
1.Transition Probabilities
2.Transition Functions
3.Vector Integrals and A.E. Convergence
4.Special Topics
5.The KBBY Ergodic Decomposition, Part I
6.The KBBY Ergodic Decomposition, Part II
7.Feller Transition Functions
Appendices: A.Semiflows and Flows: Introduction
B.Measures and Convolutions
Bibliography
Index
ISBN:9783319057231
Series:eBooks
Series:SpringerLink
Series:Probability and Its Applications, 1431-7028
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Operator theory , Potential theory (Mathematics) , Distribution (Probability theory)
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-2014-9783319048079:ONLINE Show nearby items on shelf
Title:Analytic and Probabilistic Approaches to Dynamics in Negative Curvature [electronic resource]
Author(s): Franoise Dal'Bo
Marc Peign
Andrea Sambusetti
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The work of E. Hopf and G.A. Hedlund, in the 1930s, on transitivity and ergodicity of the geodesic flow for hyperbolic surfaces, marked the beginning of the investigation of the statistical properties and stochastic behavior ofthe flow. The first cen tral limit theorem for the geodesic flow was proved in the 1960s by Y. Sinai for compact hyperbolic manifolds. Since then, strong relationships have been found between the fields of ergodic theory, analysis, andgeometry. Different approaches and new tools have been developed to study the geodesic flow, including measure theory, thermodynamic formalism, transfer operators, Laplace operators, and Brownian motion. All these different points ofview have led to a deep understanding of more general dynamical sy stems, in particular the so-called Anosov systems, with applications to geometric problems such as counting, equirepartition, mixing, and recurrence properties of theorbits. This book comprises two independent texts that provide a self-contained introduct ion to two different approaches to the investigation of hyperbolic dynamics. The first text, by S. Le Borgne, explains the method of martingalesfor the central limit theorem. This approach can be used in several situations, even for weakly hyperbolic flow s, and the author presents a good number of examples and applications to equirepartition and mixing. The second text, by F.Faure and M. Tsujii, concerns the semiclassical approach, by operator theory: chaotic dynamics is described through the spectrum of the associated transfer operator, with applications to the asymptotic counting of periodic orbits. Thebook will be of interest for a broad audience, from PhD and Post-Doc students to experts working on geometry and dynamics
ISBN:9783319048079
Series:eBooks
Series:SpringerLink
Series:Springer INdAM Series, 2281-518X : v9
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Operator theory , Global differential geometry , Distribution (Probability theory)
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-2014-9783319038865:ONLINE Show nearby items on shelf
Title:Superconcentration and Related Topics [electronic resource]
Author(s): Sourav Chatterjee
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:A certain curious feature of random objects, introduced by the author as super concentration, and two related topics, chaos and multiple valleys, are highlighted in this book. Although super concentration hasestablished itself as a recognized feature in a number of areas of probability theory in the last twenty years (under a variety of names), the author was the first to discover and explore its connections with chaos and multiplevalleys. He achieves a substantial degree of simplification and clarit y in the presentation of these findings by using the spectral approach. Understanding the fluctuations of random objects is one of the major goals of probabilitytheory and a whole subfield of probability and analysis, called concentration of measure, is d evoted to understanding these fluctuations. This subfield offers a range of tools for computing upper bounds on the orders of fluctuations ofvery complicated random variables. Usually,concentration of measure is useful when more direct problem-specific ap proaches fail as a result, it has massively gained acceptance over the last forty years. And yet, there is a largeclass of problems in which classical concentration of measure produces suboptimal bounds on the order of fluctuations. Here lies the substant ial contribution of this book, which developed from a set of six lectures the author firstheld at the Cornell Probability Summer School in July 2012. The book is interspersed with a sizable number of open problems for professional mathematicians as well a s exercises for graduate students working in the fields of probabilitytheory and mathematical physics. The material is accessible to anyone who has attended a graduate course in probability
Contents:Preface
1.Introduction
2.Markov semigroups
3.Super concentration and chaos
4.Multiple valleys
5.Talagrands method for proving super concentration
6.The spectral method for proving super concentration
7.Independent flips
8.Extremal fields
9.Further applications of hypercontractivity
10.The interpolation method for proving chaos
11.Variance lower bounds
12.Dimensions of level sets
Appendix A. Gaussian random variables
Appendix B. Hypercontractivity
Bibliography
Indices
ISBN:9783319038865
Series:eBooks
Series:SpringerLink
Series:Springer Monographs in Mathematics, 1439-7382
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Distribution (Probability theory)
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-2014-9783034806947:ONLINE Show nearby items on shelf
Title:A Course on Integration Theory [electronic resource] : including more than 150 exercises with detailed answers
Author(s): Nicolas Lerner
Date:2014
Publisher:Basel : Springer Basel : Imprint: Birkhuser
Size:1 online resource
Note:This textbook provides a detailed treatment of abstract integration theory, construction of the Lebesgue measure via the Riesz-Markov Theorem and also via the Carathodory Theorem. It also includes some elementary properties ofHausdorff measures as we ll as the basic properties of spaces of integrable functions and standard theorems on integrals depending on a parameter. Integration on a product space, change-of-variables formulas as well as the constructionand study of classical Cantor sets are treate d in detail. Classical convolution inequalities, such as Young's inequality and Hardy-Littlewood-Sobolev inequality, are proven. Further topics include the Radon-Nikodym theorem, notions ofharmonic analysis, classical inequalities and interpolation theore ms including Marcinkiewicz's theorem, and the definition of Lebesgue points and the Lebesgue differentiation theorem. Each chapter ends with a large number of exercisesand detailed solutions. A comprehensive appendix provides the reader with various eleme nts of elementary mathematics, such as a discussion around the calculation of antiderivatives or the Gamma function. It also provides more advancedmaterial such as some basic properties of cardinals and ordinals which are useful for the study of measurabi lity
Contents:1 Introduction
2 General theory of integration
3 Construction of the Lebesgue measure on R^d
4 Spaces of integrable functions
5 Integration on a product space
6 Diffeomorphisms of open subsets of R^d and integration
7 Convolution
8 Complex measures
9 Harmonic analysis
10 Classical inequalities
ISBN:9783034806947
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: 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-2014-9781461496380:ONLINE Show nearby items on shelf
Title:Real Analysis for the Undergraduate [electronic resource] : With an Invitation to Functional Analysis
Author(s): Matthew A Pons
Date:2014
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:This undergraduate textbook introduces students to the basics of real analysis, provides an introduction to more advanced topics including measure theory and Lebesgue integration, and offers an invitation to functional analysis.While these advanced t opics are not typically encountered until graduate study, the text is designed for the beginner. The authors engaging style makes advanced topics approachable without sacrificing rigor. The text alsoconsistently encourages the reader to pick up a pencil a nd take an active part in the learning process. Key features include: - examples to reinforce theory - thorough explanations preceding definitions, theorems and formal proofs -illustrations to support intuition - over 450 exercises designed to develop con nections between the concrete and abstract. This text takes students on a journey through the basics of real analysis and provides those who wish to delvedeeper the opportunity to experience mathematical ideas that are beyond the standard undergraduate cu rriculum
Contents:The Real Numbers
Sequences in R
Numerical Series
Continuity
The Derivative
Sequence and Series of Functions
The Riemann Integral
Lebesgue Measure on R
Lebesgue Integration
ISBN:9781461496380
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (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-2014-9781461495871:ONLINE Show nearby items on shelf
Title:Introduction to Stochastic Integration [electronic resource]
Author(s): K.L Chung
R.J Williams
Date:2014
Edition:2nd ed. 2014
Publisher:New York, NY : Springer New York : Imprint: Birkhuser
Size:1 online resource
Note:A highly readable introduction to stochastic integration and stochastic differential equations, this book combines developments of the basic theory with applications. It is written in a style suitable for the text of a graduatecourse in stochastic ca lculus, following a course in probability. Using the modern approach, the stochastic integral is defined for predictable integrands and local martingales then Its change of variable formula is developedfor continuous martingales. Applications include a c haracterization of Brownian motion, Hermite polynomials of martingales, the FeynmanKac functional and theSchrdinger equation. For Brownian motion, the topics of local time,reflected Brownian motion, and time change are discussed. New to the second editio n are a discussion of the CameronMartinGirsanov transformation and a final chapter which provides an introduction to stochastic differentialequations, as well as many exercises for classroom use. This book will be a valuable resource to all mathematician s, statisticians, economists, and engineers employing the modern tools of stochastic analysis. The text also provesthat stochastic integration has made an important impact on mathematical progress over the last decades and that stochastic calculus has be come one of the most powerful tools in modern probability theory. Journal of the AmericanStatistical Association An attractive textwritten in [a] lean and precise styleeminently readable. Especially pleasant are the care and attention devoted to details A very fine book. Mathematical Reviews
Contents:1 Preliminaries
2 Definition of the Stochastic Integral
3 Extension of the Predictable Integrands
4 Quadratic Variation Process
5 The Ito Formula
6 Applications of the Ito Formula
7 Local Time and Tanaka's Formula
8 Reflected Brownian Motions
9 Generalization Ito Formula, Change of Time and Measure
10 Stochastic Differential Equations
References
Index
ISBN:9781461495871
Series:eBooks
Series:SpringerLink
Series:Modern Birkhuser Classics, 2197-1803
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Distribution (Probability theory)
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-2014-9781447153610:ONLINE Show nearby items on shelf
Title:Probability Theory [electronic resource] : A Comprehensive Course
Author(s): Achim Klenke
Date:2014
Edition:2nd ed. 2014
Publisher:London : Springer London : Imprint: Springer
Size:1 online resource
Note:This second edition of the popular textbook contains a comprehensive course in modern probability theory. Overall, probabilistic concepts play an increasingly important role in mathematics, physics, biology, financial engineeringand computer science. They help us in understanding magnetism, amorphous media, genetic diversity and the perils of random developments at financial markets, and they guide us in constructing more efficient algorithms. To addressthese concepts, the title covers a wide variet y of topics, many of which are not usually found in introductory textbooks, such as: limit theorems for sums of random variables martingales percolation Markov chains andelectrical networks construction of stochastic processes Poisson point process and infinite divisibility large deviation principles and statistical physics Brownian motion stochastic integral and stochasticdifferential equations. The theory is developed rigorously and in a self-contained way, with the chapters on measure theory interlaced with the probabilistic chapters in order to display the power of the abstract concepts inprobability theory. This second edition has been carefully extended and includes many new features. It contains updated figures (over 50), computer simulat ions and some difficult proofs have been made more accessible. A wealth ofexamples and more than 270 exercises as well as biographic details of key mathematicians support and enliven the presentation. It will be of use to students and researchers in mathe matics and statistics in physics, computer science,economics and biology
Contents:Basic Measure Theory
Independence
Generating Functions
The Integral
Moments and Laws of Large Numbers
Convergence Theorems
Lp
Spaces and the RadonNikodym Theorem
Conditional Expectations
Martingales
Optional Sampling Theorems
Martingale Convergence Theorems and Their Applications
Backwards Martingales and Exchangeability
Convergence of Measures
Probability Measures on Product Spaces
Characteristic Functions and the Central Limit Theorem
Infinitely Divisible Distributions
Markov Chains
Convergence of Markov Chains
Markov Chains and Electr
ISBN:9781447153610
Series:eBooks
Series:SpringerLink
Series:Universitext, 0172-5939
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Functional analysis , Distribution (Probability theory)
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-2014-9780817684099:ONLINE Show nearby items on shelf
Title:A Probability Path [electronic resource]
Author(s): Sidney I Resnick
Date:2014
Publisher:Boston, MA : Birkhuser Boston : Imprint: Birkhuser
Size:1 online resource
Note:Many probability books are written by mathematicians and have the built-in bias that the reader is assumed to be a mathematician coming to the material for its beauty. This textbook is geared towards beginning graduate studentsfrom a variety of disci plines whose primary focus is not necessarily mathematics for its own sake. Instead, A Probability Path is designed for those requiring a deep understanding of advanced probability for their research instatistics, applied probability, biology, operations research, mathematical finance, and engineering. Aone-semester course is laid out in an efficient and readable manner covering the core material. The first three chaptersprovide a functioning knowledge of measure theory. Chapter 4 discusses independence, with expectation and integration covered in Chapter 5, followed by topics on different modes of convergence, laws of large numbers with applicationsto statistics (quantile and distribution function estimation), and applied probability. Two subsequent cha pters offer a careful treatment of convergence in distribution and the central limit theorem. The final chapter treatsconditional expectation and martingales, closing with a discussion of two fundamental theorems of mathematical finance. Like Adventures in Stochastic Processes, Resnicks related and very successful textbook, A Probability Path isrich in appropriate examples, illustrations, and problems, and is suitable for classroom use or self-study. The present uncorrected, softcover reprintis designed to make this classic textbookavailable to a wider audience. This book is different from the classical textbooks on probability theory in that it treats the measure theoreticbackground not as a prerequisite but as an integral part of probability theory. Th e result is that the reader gets a thorough and well-structured framewo
ISBN:9780817684099
Series:eBooks
Series:SpringerLink
Series:Modern Birkhuser Classics, 2197-1803
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Distribution (Probability theory) , Mathematical statistics
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-2013-9789491216862:ONLINE Show nearby items on shelf
Title:Single Variable Differential and Integral Calculus [electronic resource] : Mathematical Analysis
Author(s): Elimhan Mahmudov
Date:2013
Publisher:Paris : Atlantis Press : Imprint: Atlantis Press
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The book Single variable Differential and Integral Calculus is an interesting text book for students of mathematics and physics programs, and a reference book for graduate students in any engineering field. This book isunique in the field of mathemat ical analysis in content and in style. It aims to define, compare and discuss topics in single variable differential and integral calculus, as well as giving application examples in important businessfields. Some elementary concepts such as the power of a set, cardinality, measure theory, measurable functions are introduced. It also covers real and complex numbers, vector spaces, topological properties of sets, series and sequencesof functions (including complex-valued functions and functions of a complex variable), polynomials and interpolation and extrema of functions. Although analysis is based on the single variable models and applications, theorems andexamples are all set to be converted to multi variable extensions. For example, Newton, Riemann, Sti eltjes and Lebesque integrals are studied together and compared
Note:Springer eBooks
Contents:Introduction to Numbers and Set Theory
Sequences and Series
Limits and Continuity of Functions
Differential Calculus
Some Basic Properties of Differentiable Functions
Polynomials and Interpolations
Applications of Differential Calculus to Limit Calculations and Extremum Problems
The Indefinite Integral
The Definite Integral
Applications of the Definite Integral
ISBN:9789491216862
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , 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-2013-9788876424588:ONLINE Show nearby items on shelf
Title:Regularity of Optimal Transport Maps and Applications [electronic resource]
Author(s): Guido Philippis
Date:2013
Publisher:Pisa : Scuola Normale Superiore : Imprint: Edizioni della Normale
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:In this thesis, we study the regularity of optimal transport maps and its applications to the semi-geostrophic system. The first two chapters survey the known theory, in particular there is a self-contained proof of Breniertheorem on existence of opt imal transport maps and of Caffarellis Theorem on Holder continuity of optimal maps. In the third and fourth chapter we start investigating Sobolev regularity of optimal transport maps, while in Chapter 5we show how the above mentioned results allows to p rove the existence of Eulerian solution to the semi-geostrophic equation. In Chapter 6 we prove partial regularity of optimal maps with respect to a generic cost functions (it is wellknown that in this case global regularity can not be expected). More pre cisely we show that if the target and source measure have smooth densities the optimal map is always smooth outside a closed set of measure zero
Note:Springer eBooks
ISBN:9788876424588
Series:e-books
Series:SpringerLink (Online service)
Series:Publications of the Scuola Normale Superiore : v17
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematical optimization
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-2013-9783642388965:ONLINE Show nearby items on shelf
Title:Condition [electronic resource] : The Geometry of Numerical Algorithms
Author(s): Peter Brgisser
Felipe Cucker
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:This book gathers threads that have evolved across different mathematical disciplines into seamless narrative. It deals with condition as a main aspect in the understanding of the performance ---regarding both stability andcomplexity--- of numerical algorithms. While the role of condition was shaped in the last half-century, so far there has not been a monograph treating this subject in a uniform and systematic way. The book puts special emphasis onthe probabilistic analysis of numerical algorithms via the analysis of the corresponding condition. The exposition's level increases along the book, starting in the context of linear algebra at an undergraduate level and reaching inits third part the recent developments and partial solutions for Smale's 17th problem which can be explained within a graduate course. Its middle part contains a condition-based course on linear programming that fills a gap between thecurrent elementary expositions of the subject based on the simplex method and those focusing on convex programming
Note:Springer eBooks
Contents:Preface
Overture: On the Condition of Numerical Problems and the Numbers that Measure It
I Condition in Linear Algebra (Adagio): 1 Normwise Condition of Linear Equation Solving
2 Probabilistic Analysis
3 Error Analysis of Triangular Linear Systems
4 Probabilistic Analysis of Rectangular Matrices
5 Condition Numbers and Iterative Algorithms
Intermezzo I: Condition of Structured Data
II Condition in Linear Optimization (Andante): 6 A Condition Number for Polyhedral Conic Systems
7 The Ellipsoid Method
8 Linear Programs and their Solution Sets
9 Interior
point Met
ISBN:9783642388965
Series:e-books
Series:SpringerLink (Online service)
Series:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 0072-7830 : v349
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science , Computer science Mathematics , Algorithms , Mathematical optimization , Distribution (Probability theory)
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-2013-9783642388064:ONLINE Show nearby items on shelf
Title:Random Matrices and Iterated Random Functions [electronic resource] : Mnster, October 2011
Author(s): Gerold Alsmeyer
Matthias Lwe
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:Random Matrices are one of the major research areas in modern probability theory, due to their prominence in many different fields such as nuclear physics, statistics, telecommunication, free probability, non-commutative geometry,and dynamical system s. A great deal of recent work has focused on the study of spectra of large random matrices on the one hand and on iterated random functions, especially random difference equations, on the other. However, themethods applied in these two research areas are fairly dissimilar. Motivated by the idea that tools from one area could potentially also be helpful in the other, the volume editors have selected contributions that present results andmethods from random matrix theory as well as from the theory of itera ted random functions. This work resulted from a workshop that was held in Mnster, Germany in 2011. The aim of the workshop was to bring together researchers fromtwo fields of probability theory: random matrix theory and the theory of iterated random funct ions. Random matrices play fundamental, yet very different roles in the two fields. Accordingly, leading figures and young researchers gavetalks on their field of interest that were also accessible to a broad audience
Note:Springer eBooks
Contents:E. Le Page: Tails of a stationary probability measure for an affine stochastic recursion on the line
Yv. Guivarch: On homogeneity at infinity of stationary measures for affine stochastic recursions
M. Stolz: Limit theorems for random elements of the compact classical groups
T. Kriecherbauer: Universality of local eigenvalue statistics
R. Speicher: Asymptotic eigenvalue distribution of random matrices and free stochastic analysis
M. Peign: Conditioned random walk in Weyl chambers and renewal theory in a cone
D. Buraczewski: The linear stochastic equation R =_d \sum_{ i=1}
ISBN:9783642388064
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v53
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Distribution (Probability theory)
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-2013-9783642376177:ONLINE Show nearby items on shelf
Title:On the Estimation of Multiple Random Integrals and U-Statistics [electronic resource]
Author(s): Pter Major
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:This work starts with the study of those limit theorems in probability theory for which classical methods do not work. In many cases some form of linearization can help to solve the problem, because the linearized version issimpler. But in order to a pply such a method we have to show that the linearization causes a negligible error. The estimation of this error leads to some important large deviation type problems, and the main subject of this work istheir investigation. We provide sharp estimates of the tail distribution of multiple integrals with respect to a normalized empirical measure and so-called degenerate U-statistics and also of the supremum of appropriate classes of suchquantities. The proofs apply a number of useful techniques of modern p robability that enable us to investigate the non-linear functionals of independent random variables. This lecture note yields insights into these methods, and mayalso be useful for those who only want some new tools to help them prove limit theorems when standard methods are not a viable option
Note:Springer eBooks
Contents:1 Introduction
2 Motivation of the investigation. Discussion of some problems
3 Some estimates about sums of independent random variables
4 On the supremum of a nice class of partial sums
5 Vapnik ervonenkis classes and L2
dense classes of functions
6 The proof of Theorems 4.1 and 4.2 on the supremum of random sums
7 The completion of the proof of Theorem 4.1
8 Formulation of the main results of this work
9 Some results about U
statistics
10 MultipleWienerIt integrals and their properties
11 The diagram formula for products of degenerate U
statistics
ISBN:9783642376177
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Mathematics, 0075-8434 : v2079
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Distribution (Probability theory)
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-2013-9783642333026:ONLINE Show nearby items on shelf
Title:Guts of Surfaces and the Colored Jones Polynomial [electronic resource]
Author(s): David Futer
Efstratia Kalfagianni
Jessica Purcell
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:This monograph derives direct and concrete relations between colored Jones polynomials and the topology of incompressible spanning surfaces in knot and link complements. Under mild diagrammatic hypotheses, we prove that thegrowth of the degree of the colored Jones polynomials is a boundary slope of an essential surface in the knot complement. We show that certain coefficients of the polynomial measure how far this surface is from being a fiber for theknot in particular, the surface is a fiber if and only if a particular coefficient vanishes. We also relate hyperbolic volume to colored Jones polynomials. Our method is to generalize the checkerboard decompositions of alternatingknots. Under mild diagrammatic hypotheses, we show that these surfaces are essential, and obtain an ideal polyhedral decomposition of their complement. We use normal surface theory to relate the pieces of the JSJ decomposition of thecomplement to the combinatorics of certain surface spines (state graphs). Since state graphs have previously appeared in the study of Jones polynomials, our method bridges the gap between quantum and geometric knot invariants
Note:Springer eBooks
Contents:1 Introduction
2 Decomposition into 3balls
3 Ideal Polyhedra
4 Ibundles and essential product disks
5 Guts and fibers
6 Recognizing essential product disks
7 Diagrams without non
prime arcs
8 Montesinos links
9 Applications
10 Discussion and questions
ISBN:9783642333026
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Mathematics, 0075-8434 : v2069
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-2013-9783642326660:ONLINE Show nearby items on shelf
Title:Multi-Layer Potentials and Boundary Problems [electronic resource] : for Higher-Order Elliptic Systems in Lipschitz Domains
Author(s): Irina Mitrea
Marius Mitrea
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:Many phenomena in engineering and mathematical physics can be modeled by means of boundary value problems for a certain elliptic differential operator in a given domain. When the differential operator under discussion is ofsecond order a variety of t ools are available for dealing with such problems, including boundary integral methods, variational methods, harmonic measure techniques, and methods based on classical harmonic analysis. When thedifferential operator is of higher-order (as is the case, e .g., with anisotropic plate bending when one deals with a fourth order operator) only a few options could be successfully implemented. In the 1970s Alberto Caldern, one ofthe founders of the modern theory of Singular Integral Operators, advocated the use of layer potentials for the treatment of higher-order elliptic boundary value problems. The present monograph represents the first systematic treatmentbased on this approach. This research monograph lays, for the first time, the mathematical foundation ai med at solving boundary value problems for higher-order elliptic operators in non-smooth domains using the layer potential methodand addresses a comprehensive range of topics, dealing with elliptic boundary value problems in non-smooth domains including l ayer potentials, jump relations, non-tangential maximal function estimates, multi-traces and extensions,boundary value problems with data in WhitneyLebesque spaces, WhitneyBesov spaces, WhitneySobolev- based Lebesgue spaces, WhitneyTriebelLizorkin spaces, WhitneySobolev-based Hardy spaces, WhitneyBMO and WhitneyVMOspaces
Note:Springer eBooks
Contents:1 Introduction
2 Smoothness scales and Calden
Zygmund theory in the scalar
valued case
3 Function spaces of Whitney arrays
4 The double multi
layer potential operator
5 The single multi
layer potential operator
6 Functional analytic properties of multi
layer potentials and boundary value problems
ISBN:9783642326660
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Mathematics, 0075-8434 : v2063
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Fourier analysis , Integral equations , Differential equations, partial , Potential theory (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-2013-9783642313929:ONLINE Show nearby items on shelf
Title:Financial Modeling, Actuarial Valuation and Solvency in Insurance [electronic resource]
Author(s): Mario V Wthrich
Michael Merz
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:Risk management for financial institutions is one of the key topics the financial industry has to deal with. The present volume is a mathematically rigorous text on solvency modeling. Currently, there are many new developments inthis area in the fina ncial and insurance industry (Basel III and Solvency II), but none of these developments provides a fully consistent and comprehensive framework for the analysis of solvency questions. Merz and Wthrich combineideas from financial mathematics (no-arbitrage theory, equivalent martingale measure), actuarial sciences (insurance claims modeling, cash flow valuation) and economic theory (risk aversion, probability distortion) to provide a fullyconsistent framework. Within this framework they then study solvency questions in incomplete markets, analyze hedging risks, and study asset-and-liability management questions, as well as issues like the limited liability options,dividend to shareholder questions, the role of re-insurance, etc. This work embeds the solven cy discussion (and long-term liabilities) into a scientific framework and is intended for researchers as well as practitioners in thefinancial and actuarial industry, especially those in charge of internal risk management systems. Readers should have a go od background in probability theoryand statistics, and should be familiar with popular distributions,stochastic processes, martingales, etc
Note:Springer eBooks
Contents:1.Introduction
Part I: Financial Valuation Principles
2.State price deflators and stochastic discounting
3.spot rate models
4.Stochastic forward rate and yield curve modeling
5.Pricing of financial assets
Part II: Actuarial Valuation and Solvency
6.Actuarial and financial modeling
7.Valuation portfolio
8.Protected valuation portfolio
9.Solvency
10.Selected topics and examples
Part III: Appendix
11.Auxiliary considerations
References
Index
ISBN:9783642313929
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Finance, 1616-0533
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Finance , Economics Statistics
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-2013-9783319023038:ONLINE Show nearby items on shelf
Title:GerberShiu Risk Theory [electronic resource]
Author(s): Andreas E Kyprianou
Date:2013
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Motivated by the many and long-standing contributions of H. Gerber and E. Shiu, this book gives a modern perspective on the problem of ruin for the classical CramrLundberg model and the surplus of an insurance company. Thebook studies martingales and path decompositions, which are the main tools used in analysing the distribution of the time of ruin, the wealth prior to ruin and the deficit at ruin. Recent developments in exotic ruin theory are alsoconsidered. In particular, by making dividend or tax payments out of the surplus process, the effect on ruin is explored. Gerber-Shiu Risk Theory can be used as lecture notes and is suitable for a graduate course. Each chaptercorresponds to approximately two hours of lectures
Note:Springer eBooks
Contents:Introduction
The Wald martingale and the maximum
The Kella
Whitt martingale and the minimum
Scale functions and ruin probabilities
The GerberShiu measure
Reflection strategies
Perturbation
at
maximum strategies
Refraction strategies
Concluding discussion
References
ISBN:9783319023038
Series:e-books
Series:SpringerLink (Online service)
Series:EAA Series, 1869-6929
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Distribution (Probability theory)
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-2013-9783319015774:ONLINE Show nearby items on shelf
Title:The Real Numbers [electronic resource] An Introduction to Set Theory and Analysis
Author(s): John Stillwell
Date:2013
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:While most texts on real analysis are content to assume the real numbers, or to treat them only briefly, this text makes a serious study of the real number system and the issues it brings to light. Analysis needs the real numbersto model the line, an d to support the concepts of continuity and measure. But these seemingly simple requirements lead to deep issues of set theoryuncountability, the axiom of choice, and large cardinals. In fact, virtually all theconcepts of infinite set theory are needed fo r a proper understanding of the real numbers, and hence of analysis itself. By focusing on the set-theoretic aspects of analysis, this text makes the best of two worlds: it combines adown-to-earth introduction to set theory with an exposition of the essen ce of analysisthe study of infinite processes on the real numbers. It is intended for senior undergraduates, but it will also be attractive to graduate studentsand professional mathematicians who, until now, have been content to assume the real numbers. I ts prerequisites are calculus and basic mathematics. Mathematical history is woven into the text, explaining how the concepts of realnumber and infinity developed to meet the needs of analysis from ancient times to the late twentieth century. This rich pr esentation of history, along with a background of proofs, examples, exercises, and explanatory remarks, will helpmotivate the reader. The material covered includes classic topics from both set theory and real analysis courses, such as countable and uncoun table sets, countable ordinals, the continuum problem, the CantorSchrderBernsteintheorem, continuous functions, uniform convergence, Zorn's lemma, Borel sets, Baire functions, Lebesgue measure, and Riemann integrable functions
Note:Springer eBooks
Contents:The Fundamental Questions
From Discrete to Continuous
Infinite Sets
Functions and Limits
Open Sets and Continuity
Ordinals
The Axiom of Choice
Borel Sets
Measure Theory
Reflections
Bibliography
Index
ISBN:9783319015774
Series:e-books
Series:SpringerLink (Online service)
Series:Undergraduate Texts in Mathematics, 0172-6056
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Logic, Symbolic and mathematical
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