asymptotic methods in analysis dover books on mathematics

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Asymptotic Methods In Analysis

Author : N. G. de Bruijn
ISBN : 9780486150796
Genre : Mathematics
File Size : 29. 63 MB
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This pioneering study/textbook in a crucial area of pure and applied mathematics features worked examples instead of the formulation of general theorems. Extensive coverage of saddle-point method, iteration, and more. 1958 edition.

Asymptotic Expansions Of Integrals

Author : Norman Bleistein
ISBN : 9780486650821
Genre : Mathematics
File Size : 30. 36 MB
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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.

Advanced Mathematical Methods For Scientists And Engineers I

Author : Carl M. Bender
ISBN : 9781475730692
Genre : Mathematics
File Size : 39. 38 MB
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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 Asymptotic Analysis

Author : Peter David Miller
ISBN : 9780821840788
Genre : Mathematics
File Size : 62. 65 MB
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"The book is intended for a beginning graduate course on asymptotic analysis in applied mathematics and is aimed at students of pure and applied mathematics as well as science and engineering. The basic prerequisite is a background in differential equations, linear algebra, advanced calculus, and complex variables at the level of introductory undergraduate courses on these subjects."--BOOK JACKET.

A First Look At Perturbation Theory

Author : James G. Simmonds
ISBN : 0486675513
Genre : Mathematics
File Size : 27. 53 MB
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Undergraduates in engineering and the physical sciences receive a thorough introduction to perturbation theory in this useful and accessible text. Students discover methods for obtaining an approximate solution of a mathematical problem by exploiting the presence of a small, dimensionless parameter — the smaller the parameter, the more accurate the approximate solution. Knowledge of perturbation theory offers a twofold benefit: approximate solutions often reveal the exact solution's essential dependence on specified parameters; also, some problems resistant to numerical solutions may yield to perturbation methods. In fact, numerical and perturbation methods can be combined in a complementary way. The text opens with a well-defined treatment of finding the roots of polynomials whose coefficients contain a small parameter. Proceeding to differential equations, the authors explain many techniques for handling perturbations that reorder the equations or involve an unbounded independent variable. Two disparate practical problems that can be solved efficiently with perturbation methods conclude the volume. Written in an informal style that moves from specific examples to general principles, this elementary text emphasizes the "why" along with the "how"; prerequisites include a knowledge of one-variable calculus and ordinary differential equations. This newly revised second edition features an additional appendix concerning the approximate evaluation of integrals.

Perturbation Techniques In Mathematics Engineering And Physics

Author : Richard Ernest Bellman
ISBN : 0486432580
Genre : Science
File Size : 36. 42 MB
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Graduate students receive a stimulating introduction to analytical approximation techniques for solving differential equations in this text, which introduces scientifically significant problems and indicates useful solutions. 1966 edition.

Asymptotic Expansions

Author : E. T. Copson
ISBN : 0521604826
Genre : Mathematics
File Size : 81. 2 MB
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Asymptotic representation of a function os of great importance in many branches of pure and applied mathematics.

Introduction To Analysis

Author : Maxwell Rosenlicht
ISBN : 9780486134680
Genre : Mathematics
File Size : 48. 97 MB
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Written for junior and senior undergraduates, this remarkably clear and accessible treatment covers set theory, the real number system, metric spaces, continuous functions, Riemann integration, multiple integrals, and more. 1968 edition.


Author : James A. Murdock
ISBN : 9780898714432
Genre : Mathematics
File Size : 69. 39 MB
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This book gives a thorough introduction to both regular and singular perturbation methods for algebraic and differential equations.

Counterexamples In Analysis

Author : Bernard R. Gelbaum
ISBN : 9780486134918
Genre : Mathematics
File Size : 65. 54 MB
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These counterexamples deal mostly with the part of analysis known as "real variables." Covers the real number system, functions and limits, differentiation, Riemann integration, sequences, infinite series, functions of 2 variables, plane sets, more. 1962 edition.

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