Applied Asymptotic Analysis

Applied Asymptotic Analysis
Author :
Publisher : American Mathematical Soc.
Total Pages : 488
Release :
ISBN-10 : 9780821840788
ISBN-13 : 0821840789
Rating : 4/5 (88 Downloads)

Book Synopsis Applied Asymptotic Analysis by : Peter David Miller

Download or read book Applied Asymptotic Analysis written by Peter David Miller and published by American Mathematical Soc.. This book was released on 2006 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Applied Asymptotic Analysis Related Books

Applied Asymptotic Analysis
Language: en
Pages: 488
Authors: Peter David Miller
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

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
Applied Asymptotic Analysis
Language: en
Pages: 496
Authors: Peter David Miller
Categories: Mathematics
Type: BOOK - Published: - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

"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
Asymptotic Analysis
Language: en
Pages: 172
Authors: J.D. Murray
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

From the reviews: "A good introduction to a subject important for its capacity to circumvent theoretical and practical obstacles, and therefore particularly pri
Asymptotic Analysis and Perturbation Theory
Language: en
Pages: 546
Authors: William Paulsen
Categories: Mathematics
Type: BOOK - Published: 2013-07-18 - Publisher: CRC Press

DOWNLOAD EBOOK

Beneficial to both beginning students and researchers, Asymptotic Analysis and Perturbation Theory immediately introduces asymptotic notation and then applies t
Asymptotic Expansions of Integrals
Language: en
Pages: 453
Authors: Norman Bleistein
Categories: Mathematics
Type: BOOK - Published: 1986-01-01 - Publisher: Courier Corporation

DOWNLOAD EBOOK

Excellent introductory text, written by two experts, presents a coherent and systematic view of principles and methods. Topics include integration by parts, Wat