A Distributional Approach to Asymptotics

Kanwal Ram P. Estrada Ricardo

ISBN 10: 0817641424 / ISBN 13: 9780817641429

Editore: Springer, 2002

Riguardo questo articolo

pp. 484.

Codice articolo 18321522

Dati bibliografici

• Titolo: A Distributional Approach to Asymptotics
• Editore: Springer
• Data di pubblicazione: 2002
• Lingua: Inglese
• ISBN 10: 0817641424
• ISBN 13: 9780817641429
• Rilegatura: Rilegato
• Edizione: seconda edizione
• Condizione: New

Descrizione articolo

Riassunto

This book is a modern introduction to asymptotic analysis intended not only for mathematicians, but for physicists, engineers, and graduate students as well. Written by two of the leading experts in the field, the text provides readers with a firm grasp of mathematical theory, and at the same time demonstrates applications in areas such as differential equations, quantum mechanics, noncommutative geometry, and number theory.

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)