A Distributional Approach to Asymptotics: Theory and Applications - Brossura

Estrada, Ricardo; Kanwal, Ram P.

Brossura

ISBN 10: 1461264103 ISBN 13: 9781461264101

Casa editrice: Birkhäuser, 2012

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.

Su questo libro

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)

Contenuti

Preface * 1. Basic Results in Asymptotics * 2. Introduction to the Theory of Distributions * 3. A Distributional Theory for Asymptotic Expansions * 4. Asymptotic Expansion of Multi-Dimensional Generalized Functions * 5. Asymptotic Expansion of Certain Series Considered by Ramanujan * 6. Cesàro Behavior of Distributions * 7. Series of Dirac Delta Functions * References * Index

Dettagli dell'edizione

• Editore: Birkhäuser
• Data di pubblicazione: 2012
• Lingua: Inglese
• ISBN 10: 1461264103
• ISBN 13: 9781461264101
• Rilegatura: Copertina flessibile
• Numero edizione: 2
• Numero di pagine: 476
• Contatto del produttore: non disponibile
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