A Distributional Approach to Asymptotics : Theory and Applications

Ram P. Kanwal

ISBN 10: 1461264103 / ISBN 13: 9781461264101

Editore: Birkhäuser Boston, 2012

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Druck auf Anfrage Neuware - Printed after ordering - '.The authors of this remarkable book are among the very few whohave faced up to the challenge of explaining what an asymptoticexpansion is, and of systematizing the handling of asymptotic series.The idea of using distributions is an original one, and we recommendthat you read the book.[it] should be on your bookshelf if you areat all interested in knowing what an asymptotic series is.' -'TheBulletin of Mathematics Books' (Review of the 1st edition) \*\*'.The book is a valuable one, one that many applied mathematiciansmay want to buy. The authors are undeniably experts in theirfield.most of the material has appeared in no other book.' -'SIAMNews' (Review of the 1st edition)This book is a modern introduction to asymptotic analysis intendednot only for mathematicians, but for physicists, engineers, andgraduate students as well. Written by two of the leading experts inthe field, the text provides readers with a firm grasp of mathematicaltheory, and at the same time demonstrates applications in areas suchas differential equations, quantum mechanics, noncommutative geometry,and number theory.Key features of this significantly expanded and revised secondedition: \* addition of a new chapter and many new sections \* widerange of topics covered, including the Ces.ro behavior ofdistributions and their connections to asymptotic analysis, the studyof time-domain asymptotics, and the use of series of Dirac deltafunctions to solve boundary value problems \* novel approach detailingthe interplay between underlying theories of asymptotic analysis andgeneralized functions \* extensive examples and exercises at the end ofeach chapter \* comprehensive bibliography and indexThis work is an excellent tool for the classroom and an invaluableself-study resource that will stimulate application of asymptotic.

Codice articolo 9781461264101

Dati bibliografici

• Titolo: A Distributional Approach to Asymptotics : Theory and Applications
• Editore: Birkhäuser Boston
• Data di pubblicazione: 2012
• Lingua: Inglese
• ISBN 10: 1461264103
• ISBN 13: 9781461264101
• Rilegatura: Taschenbuch
• Edizione: seconda edizione
• Condizione: Neu
• Dimensioni: 235 L x 155 A x 26 P (millimetri) 235 millimetri di larghezza per 155 millimetri di altezza per 26 millimetri di profondità
• Peso: 715 grammi

Descrizione articolo

Riassunto

"...the book is a valuable one, one that many applied mathematicians may want to buy. The authors are undeniably experts in their field...most of the material has appeared in no other book." SIAM News (Review of 1st/e)....Key features of this significantly expanded second edition: addition of several new chapters and sections, including a presentation of time-domain asymptotics needed for the understanding of wavelet theory * extensive examples and problem sets * useful bibliography and index.

Recensione

"This is not just a ‘Second Edition’ of some monograph in the usual sense, but a revised and largely expanded version of Asymptotic Analysis: A Distributional Approach (1994) by the same authors.... A completely new chapter on the Cesáro behavior of distributions has been added; moreover there are several new sections, among them respective problem sections at the end of each chapter. Finally, a large number of recent results and additional examples have been included.... Even more than its predecessor, this book presents an interesting and carefully written introduction into the theory and applications of asymptotic analysis based on distribution theory."

―MONATSHEFTE FÜR MATHEMATIK (Review of the Second Edition)

"The authors of this remarkable book are among the very few that have faced up to the challenge of explaining what an asymptotic expansion is, and of systematizing the handling of asymptotic series. The idea of using distributions is an original one, and we recommend that you read the book...[it] should be on your bookshelf if you are at all interested in knowing what an asymptotic series is."

―THE BULLETIN OF MATHEMATICS BOOKS (Review of the First Edition)

". . . the book is a valuable one, one that many applied mathematicians may want to buy. The authors are undeniably experts in their field . . . most of the material has appeared in no other book."

―SIAM REVIEW (Review of the First Edition)