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.