Techniques of Asymptotic Analysis

Techniques of Asymptotic Analysis
Title Techniques of Asymptotic Analysis PDF eBook
Author L. Sirovich
Publisher Springer Science & Business Media
Pages 328
Release 1971-03-04
Genre Mathematics
ISBN

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"In this second part of Willie Sugg's history of Cambridgeshire cricket the author focuses on the first documented period of sustained success for a Cambridgeshire club - that of the Cambridge Cricket Club." (back cover) Part two of three.

Asymptotic Methods in Analysis

Asymptotic Methods in Analysis
Title Asymptotic Methods in Analysis PDF eBook
Author N. G. de Bruijn
Publisher Courier Corporation
Pages 225
Release 2014-03-05
Genre Mathematics
ISBN 0486150798

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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.

Introduction to Asymptotic Methods

Introduction to Asymptotic Methods
Title Introduction to Asymptotic Methods PDF eBook
Author David Y. Gao
Publisher CRC Press
Pages 270
Release 2006-05-03
Genre Mathematics
ISBN 1420011731

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Among the theoretical methods for solving many problems of applied mathematics, physics, and technology, asymptotic methods often provide results that lead to obtaining more effective algorithms of numerical evaluation. Presenting the mathematical methods of perturbation theory, Introduction to Asymptotic Methods reviews the most important m

Applied Asymptotic Analysis

Applied Asymptotic Analysis
Title Applied Asymptotic Analysis PDF eBook
Author Peter David Miller
Publisher American Mathematical Soc.
Pages 488
Release 2006
Genre Mathematics
ISBN 0821840789

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This book is a survey of asymptotic methods set in the current applied research context of wave propagation. It stresses rigorous analysis in addition to formal manipulations. Asymptotic expansions developed in the text are justified rigorously, and students are shown how to obtain solid error estimates for asymptotic formulae. The book relates examples and exercises to subjects of current research interest, such as the problem of locating the zeros of Taylor polynomials of entirenonvanishing functions and the problem of counting integer lattice points in subsets of the plane with various geometrical properties of the boundary. The book is intended for a beginning graduate course on asymptotic analysis in applied mathematics and is aimed at students of pure and appliedmathematics 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. The book is ideally suited to the needs of a graduate student who, on the one hand, wants to learn basic applied mathematics, and on the other, wants to understand what is needed to make the various arguments rigorous. Down here in the Village, this is knownas the Courant point of view!! --Percy Deift, Courant Institute, New York Peter D. Miller is an associate professor of mathematics at the University of Michigan at Ann Arbor. He earned a Ph.D. in Applied Mathematics from the University of Arizona and has held positions at the Australian NationalUniversity (Canberra) and Monash University (Melbourne). His current research interests lie in singular limits for integrable systems.

Asymptotic Expansions of Integrals

Asymptotic Expansions of Integrals
Title Asymptotic Expansions of Integrals PDF eBook
Author Norman Bleistein
Publisher Courier Corporation
Pages 453
Release 1986-01-01
Genre Mathematics
ISBN 0486650820

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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.

Asymptotic Analysis and Boundary Layers

Asymptotic Analysis and Boundary Layers
Title Asymptotic Analysis and Boundary Layers PDF eBook
Author Jean Cousteix
Publisher Springer Science & Business Media
Pages 437
Release 2007-03-22
Genre Science
ISBN 3540464891

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This book presents a new method of asymptotic analysis of boundary-layer problems, the Successive Complementary Expansion Method (SCEM). The first part is devoted to a general presentation of the tools of asymptotic analysis. It gives the keys to understand a boundary-layer problem and explains the methods to construct an approximation. The second part is devoted to SCEM and its applications in fluid mechanics, including external and internal flows.

Asymptotic Analysis of Differential Equations

Asymptotic Analysis of Differential Equations
Title Asymptotic Analysis of Differential Equations PDF eBook
Author R. B. White
Publisher World Scientific
Pages 430
Release 2010
Genre Mathematics
ISBN 1848166079

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"This is a useful volume in which a wide selection of asymptotic techniques is clearly presented in a form suitable for both applied mathematicians and Physicists who require an introduction to asymptotic techniques." --Book Jacket.