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An Introduction to Classical Complex Analysis

✍ Scribed by Robert B. Burckel (Eds.)

Publisher
Academic Press, Elsevier
Year
1979
Leaves
565
Series
Pure and Applied Mathematics 82, Part 1
Category
Library
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✦ Table of Contents

Content:
Pure and Applied Mathematics: A Series of Monographs and Textbooks
Page 2

Edited by
Page 3

Copyright page
Page 4

Preface
Pages 9-12
R.B.B.

Chapter 0 Prerequisites and Preliminaries
Pages 13-21

Chapter I Curves, Connectedness and Convexity
Pages 22-40

Chapter II (Complex) Derivative and (Curvilinear) Integrals
Pages 41-52

Chapter III Power Series and the Eexponential Function
Pages 53-82

Chapter IV The Index and Some Plane Topology
Pages 83-119

Chapter V Consequences of the Cauchy-Goursat Theorem-Maximum Principles and the Local Theory
Pages 120-190

Chapter VI Schwarz' Lemma and its Many Applications
Pages 191-217

Chapter VII Convergent Sequences of Holomorphic Functions
Pages 218-255

Chapter VIII Polynominal and Rational Approximationβ€”Runge Theory
Pages 256-292

Chapter IX The Riemann Mapping Theorem
Pages 293-343

Chapter X Simple and Double Connectivity
Pages 344-358

Chapter XI Isolated Singularities
Pages 359-410

Chapter XII Omitted Values and Normal Families
Pages 411-461

Bibliography Review Article
Pages 462-543

Name Index
Pages 544-553

Subject Index
Pages 554-567

Symbol Index
Page 568

Series Summed
Page 569

Integrals Evaluated
Page 570

πŸ“œ SIMILAR VOLUMES

An Introduction to Classical Complex Ana
πŸ“ An Introduction to Classical Complex Analysis
✍ Robert B. Burckel πŸ“‚ Library πŸ“… 1980 πŸ› Academic Press 🌐 English

This book is an attempt to cover some of the salient features of classical, one variable complex function theory. The approach is analytic, as opposed to geometric, but the methods of all three of the principal schools (those of Cauchy, Riemann and Weierstrass) are developed and exploited. The book

An Introduction to Classical Complex Ana
πŸ“ An Introduction to Classical Complex Analysis: Vol. 1
✍ Robert B. Burckel (auth.) πŸ“‚ Library πŸ“… 1979 πŸ› BirkhΓ€user Basel 🌐 English

<p><p>"This is, I believe, the first modern comprehensive treatise on its subject. The author appears to have read everything, he proves everything, and he has brought to light many interesting but generally forgotten results and methods. The book should be on the desk of everyone who might ever wan

An introduction to complex analysis
πŸ“ An introduction to complex analysis
✍ Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas (auth.) πŸ“‚ Library πŸ“… 2011 πŸ› Springer US 🌐 English

<p><p>This textbook introduces the subject of complex analysis to advanced undergraduate and graduate students in a clear and concise manner.</p><p></p><p>Key features of this textbook:</p><p>-Effectively organizes the subject into easily manageable sections in the form of 50 class-tested lectures</

An Introduction to Complex Analysis
πŸ“ An Introduction to Complex Analysis
✍ Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas (auth.) πŸ“‚ Library πŸ“… 2011 πŸ› Springer US 🌐 English

<p><p>This textbook introduces the subject of complex analysis to advanced undergraduate and graduate students in a clear and concise manner.</p><p></p><p>Key features of this textbook:</p><p>-Effectively organizes the subject into easily manageable sections in the form of 50 class-tested lectures</