Cover image for Introduction to complex analysis
Title:
Introduction to complex analysis
Author:
Priestly, H. A. (Hilary A.)
Personal Author:
Edition:
Revised edition.
Publication Information:
Oxford : Clarendon Press ; New York : Oxford University Press, 1990.
Physical Description:
xi, 214 pages : illustrations ; 24 cm.
Language:
English
ISBN:
9780198534297

9780198534280
Format :
Book

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Library
Call Number
Material Type
Home Location
Status
Central Library QA331.7 .P75 1990 Adult Non-Fiction Central Closed Stacks
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Summary

Summary

This book presents a straightforward and concise introduction to elementary complex analysis.


Summary

This book presents a straightforward and concise introduction to elementary complex analysis. The theory is treated rigorously, but no prior knowledge of topology is assumed. The emphasis throughout is on those aspects of the theory which are important in other branches of mathematics. Thebasic techniques are explained, and the major theorems are presented in such a way as to enable the reader to appreciate the power and elegance of the subject by seeing it in both practical and theoretical applications. In this revised edition, the author has included numerous new exercises to help and consolidate a firm understanding of complex analysis.


Author Notes

H. A. Priestley, Lecturer in Mathematics, University of Oxford and Fellow of St Anne's College.


Table of Contents

1 The Complex Plane
2 Holomorphic Functions and Power Series
3 Prelude to Cauchy's Theorem
4 Cauchy's Theorem
5 Consequences of Cauchy's Theorem
6 Singularities and Multifunctions
7 Cauchy's Residue Theorem
8 Applications of Contour Integration
9 Fourier and Laplace Transforms
10 Conformal Mapping and Harmonic Functions
1 The Complex Plane
2 Holomorphic Functions and Power Series
3 Prelude to Cauchy's Theorem
4 Cauchy's Theorem
5 Consequences of Cauchy's Theorem
6 Singularities and Multifunctions
7 Cauchy's Residue Theorem
8 Applications of Contour Integration
9 Fourier and Laplace Transforms
10 Conformal Mapping and Harmonic Functions

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