Applied Asymptotic Analysis

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Release : 2006
Genre : Mathematics
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Book Rating : 789/5 ( reviews)

Applied Asymptotic Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Applied Asymptotic Analysis write by Peter David Miller. This book was released on 2006. Applied Asymptotic Analysis available in PDF, EPUB and Kindle. 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 Analysis

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Release : 2012-12-06
Genre : Mathematics
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Book Rating : 220/5 ( reviews)

Asymptotic Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Asymptotic Analysis write by J.D. Murray. This book was released on 2012-12-06. Asymptotic Analysis available in PDF, EPUB and Kindle. From the reviews: "A good introduction to a subject important for its capacity to circumvent theoretical and practical obstacles, and therefore particularly prized in the applications of mathematics. The book presents a balanced view of the methods and their usefulness: integrals on the real line and in the complex plane which arise in different contexts, and solutions of differential equations not expressible as integrals. Murray includes both historical remarks and references to sources or other more complete treatments. More useful as a guide for self-study than as a reference work, it is accessible to any upperclass mathematics undergraduate. Some exercises and a short bibliography included. Even with E.T. Copson's Asymptotic Expansions or N.G. de Bruijn's Asymptotic Methods in Analysis (1958), any academic library would do well to have this excellent introduction." (S. Puckette, University of the South) #Choice Sept. 1984#1

Asymptotic Analysis and Perturbation Theory

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Release : 2013-07-18
Genre : Mathematics
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Book Rating : 120/5 ( reviews)

Asymptotic Analysis and Perturbation Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Asymptotic Analysis and Perturbation Theory write by William Paulsen. This book was released on 2013-07-18. Asymptotic Analysis and Perturbation Theory available in PDF, EPUB and Kindle. Beneficial to both beginning students and researchers, Asymptotic Analysis and Perturbation Theory immediately introduces asymptotic notation and then applies this tool to familiar problems, including limits, inverse functions, and integrals. Suitable for those who have completed the standard calculus sequence, the book assumes no prior knowledge o

Asymptotic Expansions of Integrals

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Release : 1986-01-01
Genre : Mathematics
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Book Rating : 820/5 ( reviews)

Asymptotic Expansions of Integrals - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Asymptotic Expansions of Integrals write by Norman Bleistein. This book was released on 1986-01-01. Asymptotic Expansions of Integrals available in PDF, EPUB and Kindle. 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 of Differential Equations

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Release : 2010
Genre : Mathematics
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Book Rating : 079/5 ( reviews)

Asymptotic Analysis of Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Asymptotic Analysis of Differential Equations write by R. B. White. This book was released on 2010. Asymptotic Analysis of Differential Equations available in PDF, EPUB and Kindle. "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.