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.

Applied Asymptotics

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Release : 2007-05-31
Genre : Business & Economics
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Book Rating : 032/5 ( reviews)

Applied Asymptotics - 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 Asymptotics write by A. R. Brazzale. This book was released on 2007-05-31. Applied Asymptotics available in PDF, EPUB and Kindle. First practical treatment of small-sample asymptotics, enabling practitioners to apply new methods with confidence.

Asymptotics and Borel Summability

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Release : 2008-12-04
Genre : Mathematics
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Book Rating : 320/5 ( reviews)

Asymptotics and Borel Summability - 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 Asymptotics and Borel Summability write by Ovidiu Costin. This book was released on 2008-12-04. Asymptotics and Borel Summability available in PDF, EPUB and Kindle. Incorporating substantial developments from the last thirty years into one resource, Asymptotics and Borel Summability provides a self-contained introduction to asymptotic analysis with special emphasis on topics not covered in traditional asymptotics books. The author explains basic ideas, concepts, and methods of generalized Borel summability, tr

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 Statistics

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Release : 2000-06-19
Genre : Mathematics
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Book Rating : 504/5 ( reviews)

Asymptotic Statistics - 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 Statistics write by A. W. van der Vaart. This book was released on 2000-06-19. Asymptotic Statistics available in PDF, EPUB and Kindle. This book is an introduction to the field of asymptotic statistics. The treatment is both practical and mathematically rigorous. In addition to most of the standard topics of an asymptotics course, including likelihood inference, M-estimation, the theory of asymptotic efficiency, U-statistics, and rank procedures, the book also presents recent research topics such as semiparametric models, the bootstrap, and empirical processes and their applications. The topics are organized from the central idea of approximation by limit experiments, which gives the book one of its unifying themes. This entails mainly the local approximation of the classical i.i.d. set up with smooth parameters by location experiments involving a single, normally distributed observation. Thus, even the standard subjects of asymptotic statistics are presented in a novel way. Suitable as a graduate or Master s level statistics text, this book will also give researchers an overview of the latest research in asymptotic statistics.