## An Introduction to Phase-Integral Methods

**Author**: John Heading

**Publisher:**Courier Corporation

**ISBN:**0486316297

**Category:**Mathematics

**Page:**176

**View:**6244

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Introductory treatment steers a course between simplistic and rigorous approaches to provide a concise overview for advanced undergraduates and graduate students. Topics include Stokes phenomenon, one and two transition points, applications. 1962 edition.

## Introduction to Nonlinear Differential and Integral Equations

**Author**: Harold Thayer Davis

**Publisher:**Courier Corporation

**ISBN:**9780486609713

**Category:**Mathematics

**Page:**566

**View:**8148

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Topics covered include differential equations of the 1st order, the Riccati equation and existence theorems, 2nd order equations, elliptic integrals and functions, nonlinear mechanics, nonlinear integral equations, more. Includes 137 problems.

## Advanced Mathematical Methods for Scientists and Engineers I

*Asymptotic Methods and Perturbation Theory*

**Author**: Carl M. Bender,Steven A. Orszag

**Publisher:**Springer Science & Business Media

**ISBN:**1475730691

**Category:**Mathematics

**Page:**593

**View:**3970

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A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new problems, the text avoids special methods and tricks that only work for particular problems. Intended for graduates and advanced undergraduates, it assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations, then develops local asymptotic methods for such equations, and explains perturbation and summation theory before concluding with an exposition of global asymptotic methods. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach readers how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions, over 600 problems of varying levels of difficulty, and an appendix summarizing the properties of special functions.

## Applied Complex Variables

**Author**: John W. Dettman

**Publisher:**Courier Corporation

**ISBN:**0486158284

**Category:**Mathematics

**Page:**512

**View:**1129

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Fundamentals of analytic function theory — plus lucid exposition of 5 important applications: potential theory, ordinary differential equations, Fourier transforms, Laplace transforms, and asymptotic expansions. Includes 66 figures.

## An Introduction to Differential Equations and Their Applications

**Author**: Stanley J. Farlow

**Publisher:**Courier Corporation

**ISBN:**0486135136

**Category:**Mathematics

**Page:**640

**View:**7868

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This introductory text explores 1st- and 2nd-order differential equations, series solutions, the Laplace transform, difference equations, much more. Numerous figures, problems with solutions, notes. 1994 edition. Includes 268 figures and 23 tables.

## Asymptotic Expansions of Integrals

**Author**: Norman Bleistein,Richard A. Handelsman

**Publisher:**Courier Corporation

**ISBN:**0486650820

**Category:**Mathematics

**Page:**425

**View:**2739

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Excellent introductory text, written by two experts, presents a coherent and systematic view of principles and methods. Topics include integration by parts, Watson's lemma, LaPlace's method, stationary phase, and steepest descents. Additional subjects include the Mellin transform method and less elementary aspects of the method of steepest descents. 1975 edition.

## Historical Encyclopedia of Natural and Mathematical Sciences

**Author**: Ari Ben-Menaḥem

**Publisher:**Springer Science & Business Media

**ISBN:**3540688315

**Category:**

**Page:**1066

**View:**2175

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## American Scientific Books

**Author**: N.A

**Publisher:**N.A

**ISBN:**N.A

**Category:**Science

**Page:**N.A

**View:**8146

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## Introduction to Modern Optics

**Author**: Grant R. Fowles

**Publisher:**Courier Corporation

**ISBN:**048613492X

**Category:**Science

**Page:**336

**View:**8165

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A complete basic undergraduate course in modern optics for students in physics, technology, and engineering. The first half deals with classical physical optics; the second, quantum nature of light. Solutions.

## American Scientific Books, 1962-1963

*A Basic Selection of Scientific, Technical and Medical Books as Entered in the American Book Publishing Record*

**Author**: N.A

**Publisher:**N.A

**ISBN:**N.A

**Category:**Science

**Page:**221

**View:**1224

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## Learning Directory

**Author**: N.A

**Publisher:**N.A

**ISBN:**N.A

**Category:**Teaching

**Page:**N.A

**View:**4890

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## The Qualitative Theory of Ordinary Differential Equations

*An Introduction*

**Author**: Fred Brauer,John A. Nohel

**Publisher:**Courier Corporation

**ISBN:**0486151514

**Category:**Mathematics

**Page:**320

**View:**7747

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Superb, self-contained graduate-level text covers standard theorems concerning linear systems, existence and uniqueness of solutions, and dependence on parameters. Focuses on stability theory and its applications to oscillation phenomena, self-excited oscillations, more. Includes exercises.

## Mathematical Foundations of Statistical Mechanics

**Author**: Aleksandr I?Akovlevich Khinchin

**Publisher:**Courier Corporation

**ISBN:**9780486601472

**Category:**Mathematics

**Page:**179

**View:**6463

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Phase space, ergodic problems, central limit theorem, dispersion and distribution of sum functions. Chapters include Geometry and Kinematics of the Phase Space; Ergodic Problem; Reduction to the Problem of the Theory of Probability; Application of the Central Limit Theorem; Ideal Monatomic Gas; The Foundation of Thermodynamics; and more.

## SIAM Review

**Author**: Society for Industrial and Applied Mathematics

**Publisher:**N.A

**ISBN:**N.A

**Category:**Electronic journals

**Page:**N.A

**View:**7688

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## Linear Differential Operators

**Author**: Cornelius Lanczos

**Publisher:**Courier Corporation

**ISBN:**9780486680354

**Category:**Mathematics

**Page:**564

**View:**959

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The basic and characteristic properties of linear differential operators are explored in this graduate-level text. No specific knowledge beyond the usual introductory courses is necessary. Includes 350 problems and solution.

## The Variational Principles of Mechanics

**Author**: Cornelius Lanczos

**Publisher:**Courier Corporation

**ISBN:**0486134709

**Category:**Science

**Page:**464

**View:**6559

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Philosophic, less formalistic approach to analytical mechanics offers model of clear, scholarly exposition at graduate level with coverage of basics, calculus of variations, principle of virtual work, equations of motion, more.

## A Guide to Feynman Diagrams in the Many-Body Problem

*Second Edition*

**Author**: Richard D. Mattuck

**Publisher:**Courier Corporation

**ISBN:**0486131645

**Category:**Science

**Page:**464

**View:**2680

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Superb introduction for nonspecialists covers Feynman diagrams, quasi particles, Fermi systems at finite temperature, superconductivity, vacuum amplitude, Dyson's equation, ladder approximation, and more. "A great delight." — Physics Today. 1974 edition.

## Notices of the American Mathematical Society

**Author**: American Mathematical Society

**Publisher:**N.A

**ISBN:**N.A

**Category:**Mathematics

**Page:**N.A

**View:**4821

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## Ordinary Differential Equations and Stability Theory

*An Introduction*

**Author**: David A. Sánchez

**Publisher:**Courier Corporation

**ISBN:**0486638286

**Category:**Mathematics

**Page:**164

**View:**6696

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Beginning with a general discussion of the linear equation, topics developed include stability theory for autonomous and nonautonomous systems. Two appendices are also provided, and there are problems at the end of each chapter — 55 in all. Unabridged republication of the original (1968) edition. Appendices. Bibliography. Index. 55 problems.

## An Introduction to the Theory of the Boltzmann Equation

**Author**: Stewart Harris

**Publisher:**Courier Corporation

**ISBN:**9780486438313

**Category:**Science

**Page:**221

**View:**4838

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This introductory graduate-level course for students of physics and engineering features detailed presentations of Boltzmann's equation, including applications using both Boltzmann's equation and the model Boltzmann equations developed within the text. It emphasizes physical aspects of the theory and offers a practical resource for researchers and other professionals. 1971 edition.