Theories of Generalised Functions: Distributions, Ultradistributions and Other Generalised Functions - Softcover

Hoskins, R. F.

Softcover

ISBN 10: 1898563985 ISBN 13: 9781898563983

Publisher: Woodhead Publishing, 2005

Synopsis

Explaining and comparing the various standard types of generalised functions which have been developed during the 20th Century, this text also contains accounts of recent non-standard theories of distributions, ultradistributions and Stato-hyperfunctions. The book could readily be used as a main text on generalised functions for mathematical undergraduates in final year analysis courses, as it presupposes little more than a general mathematical background. It also makes a valuable reference text for non-specific applied mathematics students, such as physicists or electrical engineers, needing to gain expertise in the application of generalised functions to physical problems, without any prior acquaintance of the specialised subject matter. An ideal companion book to Delta Functions, also by Professor Hoskins.

About this title

Review

An original and smart attempt to cover various developments of the theory of generalized and new generalized functions, beginning with the simplest considerations on distributions and finishing with deep remarks on the links with non-standard analysis. As far as I know, this is the only book to achieve this goal. ...highly recommendable. --Zentralblatt Math

Synopsis

First published as Distributions, Ultradistributions and Other Generalized Functions in 1994, this advanced undergraduate or graduate text has been substantially updated and extended to cover a range of theories of generalized functions for applications in applied mathematics, physics or chemical engineering. It covers Schwartz's and Silva's theori

Edition details

• Publisher: Woodhead Publishing
• Publication date: 2005
• Language: English
• ISBN 10: 1898563985
• ISBN 13: 9781898563983
• Binding: Paperback
• Number of pages: 306