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Asymptotic Expansions
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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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A Concise Introduction to the Theory of Integration
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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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Introduction to the theory of Fourier's series and integrals
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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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Schaum's outline of theory and problems of real variables; Lebesgue measure and integration with applications to Fourier series
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Murray R. Spiegel
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Field Quantization
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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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Integration
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Edward J. McShane
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The Elements of Integration and Lebesgue Measure
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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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Nonlinear filtering and smoothing an introduction to martingales, stochastic integrals and estimation
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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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A Radical Approach to Lebesque's Theory of Integration
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David M Bressoud
Meant for advanced undergraduate and graduate students in mathematics, this lively introduction to measure theory and Lebesgue integration is rooted in and motivated by the historical questions that led to its development. The author stresses the original purpose of the definitions and theorems and highlights some of the difficulties that were ...
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Techniques and Applications of Path Integration
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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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Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets
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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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Path Integrals and Quantum Anomalies
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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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Tables of integrals and other mathematical data
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Herbert Bristol Dwight
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Pocket Book of Integrals and Mathematical Formulas, Second Edition
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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
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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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Measure, Integral and Probability
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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.
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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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Homogenization of Multiple Integrals
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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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Measure and Integral: Volume 1
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by
John L Kelley, T P Srinivasan (Photographer)
This book is a systematic exposition of the theory of measure and integration. It is intendend for students, and also as a reference work. The body of the text can be read by a student with a firm background in analysis, whereas the supplements treat more advanced topics, and require somewhat more maturity. Although the results given here are the ...
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Measures, Integrals and Martingales
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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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Feynman-Kac Formulae: Genealogical and Interacting Particle Systems with Applications
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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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Theory of the integral.
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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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Introduction to Integration
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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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Path Integral Methods in Quantum Field Theory
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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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Lebesgue's Theory of Integration: Its Origins and Development
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Thomas Hawkins
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