ENGLISH

An Introduction to Complex Function Theory

By Bruce P. Palka

Book information

Publisher
Springer
Year
1995
ISBN
1461269679, 1461209757, 9781461269670, 9781461209751
Language
english
Format
PDF
Filesize
120 MB (125365635 bytes)
Series
Undergraduate Texts in Mathematics
Edition
2nd Print
Pages
592\592
Library
archive.org
Time added
2025-04-09 01:48:11

Description

This book provides a rigorous yet elementary introduction to the theory of analytic functions of a single complex variable. While presupposing in its readership a degree of mathematical maturity, it insists on no formal prerequisites beyond a sound knowledge of calculus. Starting from basic definitions, the text slowly and carefully develops the ideas of complex analysis to the point where such landmarks of the subject as Cauchy's theorem, the Riemann mapping theorem, and the theorem of Mittag-Leffler can be treated without sidestepping any issues of rigor. The emphasis throughout is a geometric one, most pronounced in the extensive chapter dealing with conformal mapping, which amounts essentially to a "short course" in that important area of complex function theory. Each chapter concludes with a wide selection of exercises, ranging from straightforward computations to problems of a more conceptual and thought-provoking nature.

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