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The Theory of Distributions : A Nontechnical Introduction - J. Ian Richards

The Theory of Distributions

A Nontechnical Introduction

Paperback Published: 22nd January 1996
ISBN: 9780521558907
Number Of Pages: 160

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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.

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

Preface
Introduction
The elements of distribution theory
Basic Definitions and Facts
Convolutions
Examples of distributions
Fourier transforms
Tempered distributions
Extension to higher dimensions
A general definition of multiplication and convolution for distributions
Appendices
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521558907
ISBN-10: 0521558905
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 160
Published: 22nd January 1996
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 23.47 x 15.55  x 1.32
Weight (kg): 0.29