Introduction to Asymptotic Methods

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Release : 2006-05-03
Genre : Mathematics
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Book Rating : 731/5 ( reviews)

Introduction to Asymptotic Methods - 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 Introduction to Asymptotic Methods write by David Y. Gao. This book was released on 2006-05-03. Introduction to Asymptotic Methods available in PDF, EPUB and Kindle. 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

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.

Introduction to Asymptotics and Special Functions

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Release : 2014-05-10
Genre : Mathematics
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Book Rating : 083/5 ( reviews)

Introduction to Asymptotics and Special Functions - 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 Introduction to Asymptotics and Special Functions write by F. W. J. Olver. This book was released on 2014-05-10. Introduction to Asymptotics and Special Functions available in PDF, EPUB and Kindle. Introduction to Asymptotics and Special Functions is a comprehensive introduction to two important topics in classical analysis: asymptotics and special functions. The integrals of a real variable are discussed, along with contour integrals and differential equations with regular and irregular singularities. The Liouville-Green approximation is also considered. Comprised of seven chapters, this volume begins with an overview of the basic concepts and definitions of asymptotic analysis and special functions, followed by a discussion on integrals of a real variable. Contour integrals are then examined, paying particular attention to Laplace integrals with a complex parameter and Bessel functions of large argument and order. Subsequent chapters focus on differential equations having regular and irregular singularities, with emphasis on Legendre functions as well as Bessel and confluent hypergeometric functions. A chapter devoted to the Liouville-Green approximation tackles asymptotic properties with respect to parameters and to the independent variable, eigenvalue problems, and theorems on singular integral equations. This monograph is intended for students needing only an introductory course to asymptotics and special functions.

Introduction to Asymptotics

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Release : 1997
Genre : Mathematics
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Book Rating : 153/5 ( reviews)

Introduction to 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 Introduction to Asymptotics write by Douglas Samuel Jones. This book was released on 1997. Introduction to Asymptotics available in PDF, EPUB and Kindle. "A very attractive feature of the book is the numerous examples illustrating the methods. A fine collection of exercises enriches each chapter, challenging the reader to check his progress in understanding the methods".Mathematical Reviews"As an introductory book to asymptotics, with chapters on uniform asymptotics and exponential asymptotics, this book clearly fills a gap it has a friendly size and contains many convincing numerical examples and interesting exercises. Hence, I recommend the book to everyone who works in asymptotics".SIAM, 1998" it is an excellent book that contains interesting results and methods for the researchers. It will be useful for the students interested in analysis and lectures on asymptotic methods The reviewer recommends the book to everyone who is interested in analysis, engineers and specialists in ODE-s"Acta Sci. Math. (Szeged), 1999

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