Cauchy and the Creation of Complex Function Theory

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Dr Smithies' analysis of the process whereby Cauchy created the basic structure of complex analysis, begins by describing the 18th century background. He then proceeds to examine the stages of Cauchy's own work, culminating in the proof of the residue theorem. Controversies associated with the the birth of the subject are also considered in detail. Throughout, new light is thrown on Cauchy's thinking during this watershed period. This authoritative book is the first to make use of the whole spectrum of available original sources.
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Editorial Reviews

From the Publisher
"...this scholarly work is recommended for upper-division undergraduates through researchers and historians of mathematics." Choice

"This book is a welcome addition to the literature." Mathematical Reviews

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Product Details

  • ISBN-13: 9780521592789
  • Publisher: Cambridge University Press
  • Publication date: 1/28/2004
  • Pages: 224
  • Product dimensions: 5.98 (w) x 8.98 (h) x 0.67 (d)

Table of Contents

Introduction 1
1 The background to Cauchy's work on complex function theory 6
2 Cauchy's 1814 memoir on definite integrals 24
3 Miscellaneous contributions (1815-1825) 59
4 The 1825 memoir and associated articles 85
5 The calculus of residues 113
6 The Lagrange series and the Turin memoirs 147
7 Summary and conclusions 186
References 205
Notation index 214
Author index 215
Subject index 216
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