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Techniques and Applications of Path Integration

Techniques and Applications of Path Integration more books like this

by L S Schulman

Emphasizes the many applications that have been found for path integrals in quantum mechanics, statistical physics, field theory, and optics. Covers both the Feynman integral of quantum mechanics and the Wiener integral of probability theory. Initial experience is gained with solvable integrals and some of the formal and general properties ...

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Introduction to the theory of Fourier's series and integrals

Introduction to the theory of Fourier's series and integrals more books like this

by Horatio Scott Carslaw

Basic introduction to theory of infinite series or integrals, with special reference to Fourier's series. 84 examples.

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Nonlinear filtering and smoothing an introduction to martingales, stochastic integrals and estimation

Nonlinear filtering and smoothing an introduction to martingales, stochastic integrals and estimation more books like this

by Krishnan

Appropriate for upper-level undergraduates and graduate students, this volume addresses the fundamental concepts of martingales, stochastic integrals, and estimation. Written by an engineer for engineers, it emphasizes applications.

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Schaum's outline of theory and problems of real variables; Lebesgue measure and integration with applications to Fourier series more books like this

by Murray R. Spiegel

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The Elements of Integration and Lebesgue Measure

The Elements of Integration and Lebesgue Measure more books like this

by Robert Gardner Bartle

The Wiley Classics Library consists of selected books that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists. Currently available in the Series: T. W. ...

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A Concise Introduction to the Theory of Integration

A Concise Introduction to the Theory of Integration more books like this

by Daniel W Stroock

This edition develops the basic theory of Fourier transform. Stroock's approach is the one taken originally by Norbert Wiener and the Parseval's formula, as well as the Fourier inversion formula via Hermite functions. New exercises and solutions have been added for this edition.

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Asymptotic Expansions

Asymptotic Expansions more books like this

by E. T. Copson

Certain functions, capable of expansion only as a divergent series, may nevertheless be calculated with great accuracy by taking the sum of a suitable number of terms. The theory of such asymptotic expansions is of great importance in many branches of pure and applied mathematics and in theoretical physics. Solutions of ordinary differential ...

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Field Quantization

Field Quantization more books like this

by Walter Greiner, Joachim Reinhardt

"Field Quantization" is a thorough introduction to the physical ideas and techniques of this subject, starting from an elementary level. The initial chapters deal with the quantum mechanics of systems having many degrees of freedom and with classical Lagrangian field theory. Subsequently, both the traditional method of canonical quantization and ...

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Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets

Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets more books like this

by Hagen Kleinert

This is the fourth, expanded edition of the comprehensive textbook published in 1990 on the theory and applications of path integrals. It is the first book to explicitly solve path integrals of a wide variety of nontrivial quantum-mechanical systems, in particular the hydrogen atom. The solutions have become possible by two major advances. The ...

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Classical and Quantum Dynamics

Classical and Quantum Dynamics more books like this

by Walter Dittrich, Martin Reuter

Graduate students who want to become familiar with advanced computational strategies in classical and quantum dynamics will find here both the fundamentals of a standard course and a detailed treatment of the time-dependent oscillator, Chern-Simons mechanics, the Maslov anomaly and the Berry phase, together with many worked examples throughout the ...

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Integration more books like this

by Edward J. McShane

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Pocket Book of Integrals and Mathematical Formulas, Second Edition

Pocket Book of Integrals and Mathematical Formulas, Second Edition more books like this

by Ronald J Tallarida (Editor)

This second edition is a compact reference work containing concise discussions of mathematical concepts and formulas frequently needed by students and professionals in engineering, science, applied maths and statistics. One of the book's special features is its comprehensive table of integrals arranged and formatted to facilitate the rapid ...

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A Garden of Integrals more books like this

by Frank Burk

The derivative and the integral are the fundamental notions of calculus. Though there is essentially only one derivative, there is a variety of integrals, developed over the years for a variety of purposes, and this book describes them. No other single source treats all of the integrals of Cauchy, Riemann, Riemann-Stieltjes, Lebesgue, Lebesgue ...

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Path Integrals and Quantum Anomalies more books like this

by Kazuo Fujikawa, Hiroshi Suzuki

The Feynman path integrals are becoming increasingly important in the applications of quantum mechanics and field theory. The path integral formulation of quantum anomalies, i.e. the quantum breaking of certain symmetries, can now cover all the known quantum anomalies in a coherent manner. In this book the authors provide an introduction to the ...

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Measure, Integral and Probability more books like this

by Marek Capinski

"Measure, Integral and Probability" is a gentle introduction that makes measure and integration theory accessible to the average third-year undergraduate student. The ideas are developed at an easy pace in a form that is suitable for self-study, with an emphasis on clear explanations and concrete examples rather than abstract theory. For this ...

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The Lebesgue integral. more books like this

by J. C. Burkill

Dr Burkill gives a straightforward introduction to Lebesgue's theory of integration. His approach is the classical one, making use of the concept of measure, and deriving the principal results required for applications of the theory.

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Introduction to Integration more books like this

by Hilary A Priestley

Introduction to integration provides a unified account of integration theory, giving a practical guide to the Lebesgue integral and its uses, with a wealth of illustrative examples and exercises. The book begins with a simplified Lebesgue-style integral (in lieu of the more traditional Riemann integral), intended for a first course in integration ...

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Measures, Integrals and Martingales more books like this

by Rene L Schilling

This is a concise and elementary introduction to measure and integration theory as it is nowadays needed in many parts of analysis and probability theory. The basic theory - measures, integrals, convergence theorems, Lp-spaces and multiple integrals - is explored in the first part of the book. The second part then uses the notion of martingales to ...

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Homogenization of Multiple Integrals more books like this

by Andrea Braides, Anneliese Defranceschi

The object of homogenization theory is the description of the macroscopic properties of structures with fine microstructure, covering a wide range of applications that run from the study of properties of composites to optimal design. The structures under consideration may model cellular elastic materials, fibred materials, stratified or porous ...

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Path Integral Methods in Quantum Field Theory more books like this

by R J Rivers

This is a concise graduate level introduction to analytical functional methods in quantum field theory. Functional integral methods provide relatively simple solutions to a wide range of problems in quantum field theory. After introducing the basic mathematical background, this book goes on to study applications and consequences of the formalism ...

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Theory of the integral. more books like this

by S. Saks

Covering all the standard topics, the author begins with a discussion of the integral in an abstract space, additive classes of sets, measurable functions, and integration of sequences of functions. Succeeding chapters cover Caratheodory measure; functions of bounded variation and the Lebesgue-Stieltjes integral; the derivation of additive ...

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Derivation and Integration more books like this

by Washek F Pfeffer, Bela Bollobas (Editor), W Fulton (Editor)

This book, devoted to an invariant multidimensional process of recovering a function from its derivative, considers additive functions defined on the family of all bounded BV sets that are continuous with respect to a suitable topology. The main applications are related to the Gauss-Green and Stokes theorems. The book contains complete and ...

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Feynman-Kac Formulae: Genealogical and Interacting Particle Systems with Applications more books like this

by Pierre del Moral

This book contains a systematic and self-contained treatment of Feynman-Kac path measures, their genealogical and interacting particle interpretations, and their applications to a variety of problems arising in statistical physics, biology, and advanced engineering sciences. Topics include spectral analysis of Feynman-Kac-Schrodinger operators, ...

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Principles of real analysis more books like this

by Charalambos D Aliprantis, Owen Burkinshaw

With the success of its previous editions, "Principles of Real Analysis, Third Edition" continues to introduce students to the fundamentals of the theory of measure and functional analysis. In this thorough update, the authors have included a new chapter on Hilbert spaces as well as integrating over 150 new exercises throughout. The new edition ...

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Pocket Book of Integrals and Mathematical Formulas more books like this

by Ronald J Tallarida

The fourth edition of the "Pocket Book of Integrals and Mathematical Formulas" addresses new topics such as elementary number theory, exponential decay, kinetics, series, number facts, Fermat's last theorem, and the Golbach conjecture. The statistics section expands coverage of expected value, normal approximation of the binomial distribution, and ...

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