The Theory of Distributions: A Nontechnical Introduction - Hardcover

Richards, J. Ian; Youn, Heekyung K.

Hardcover

ISBN 10: 052137149X ISBN 13: 9780521371490

Publisher: Cambridge University Press, 1990

Synopsis

This book is a self-contained introduction to the theory of distributions, sometimes called generalized functions. Most books on this subject are either intuitive or else rigorous but technically demanding. Here, by concentrating on the essential results, the authors have introduced the subject in a way that will most appeal to non-specialists, yet is still mathematically correct. Topics covered include: the Dirac delta function, generalized functions, dipoles, quadrupoles, pseudofunctions and Fourier transforms. The self-contained treatment does not require any knowledge of functional analysis or topological vector spaces; even measure theory is not needed for most of the book. The book, which can be used either to accompany a course or for self-study, is liberally supplied with exercises. It will be a valuable introduction to the theory of distributions and their applications for students or professionals in statistics, physics, engineering and economics.

About this title

Review

'A clear and concise introduction that should be especially helpful to graduate students in mathematics.' Choice

Book Description

This introduction to the subject of generalized functions concentrates on the essential results important to non-specialists, yet is still mathematically correct. The book is self-contained and requires no specialized knowledge of functional analysis, topological vector spaces or measure theory.

Edition details

• Publisher: Cambridge University Press
• Publication date: 1990
• Language: English
• ISBN 10: 052137149X
• ISBN 13: 9780521371490
• Binding: Hardcover
• Edition number: 1
• Number of pages: 157