Delta Functions :Introduction to Generalised Functions ( 2 )

Publication subTitle :Introduction to Generalised Functions

Publication series :2

Author: Hoskins   R F  

Publisher: Elsevier Science‎

Publication year: 2009

E-ISBN: 9780857099358

P-ISBN(Paperback): 9781904275398

P-ISBN(Hardback):  9781904275398

Subject: O177.4 generalized function theory

Language: ENG

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Description

Delta Functions has now been updated, restructured and modernised into a second edition, to answer specific difficulties typically found by students encountering delta functions for the first time. In particular, the treatment of the Laplace transform has been revised with this in mind. The chapter on Schwartz distributions has been considerably extended and the book is supplemented by a fuller review of Nonstandard Analysis and a survey of alternative infinitesimal treatments of generalised functions.

Dealing with a difficult subject in a simple and straightforward way, the text is readily accessible to a broad audience of scientists, mathematicians and engineers. It can be used as a working manual in its own right, and serves as a preparation for the study of more advanced treatises. Little more than a standard background in calculus is assumed, and attention is focused on techniques, with a liberal selection of worked examples and exercises.

  • Second edition has been updated, restructured and modernised to answer specific difficulties typically found by students encountering delta functions for the first time
  • Attention is focused on techniques, with a liberal selection of worked examples and exercises
  • Readily accessible to a broad audience of scientists, mathematicians and engineers and can be used as a working manual in its own right

Chapter

Cover

pp.:  1 – 3

ABOUT THE AUTHOR

pp.:  3 – 4

Copyright

pp.:  5 – 6

Preface

pp.:  6 – 9

Contents

pp.:  9 – 12

Chapter 2 The Dirac Delta Function

pp.:  37 – 58

Chapter 3 Properties of the Delta Function

pp.:  58 – 87

Chapter 4 Time-invariant Linear Systems

pp.:  87 – 110

Chapter 5 The Laplace Transform

pp.:  110 – 139

Chapter 6 Fourier Series and Transforms

pp.:  139 – 165

Chapter 7 Other Generalised Functions

pp.:  165 – 182

Chapter 8 Introduction to distributions

pp.:  182 – 205

Chapter 9 Integration Theory

pp.:  205 – 220

Chapter 10 Introduction to N .S.A

pp.:  220 – 248

Chapter 11 Nonstandard Generalised Functions

pp.:  248 – 272

Solutions to Exercises

pp.:  272 – 280

Index

pp.:  280 – 284

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