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Graduate Texts in Mathematics

Functions of One Complex Variable I

Authors: Conway, John B.

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  • ISBN 978-1-4612-6313-5
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Hardcover $64.95
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  • ISBN 978-0-387-90328-6
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Softcover $64.95
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  • ISBN 978-0-387-94234-6
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About this Textbook

This book is intended as a textbook for a first course in the theory of functions of one complex variable for students who are mathematically mature enough to understand and execute E - 8 arguments. The actual pre­ requisites for reading this book are quite minimal; not much more than a stiff course in basic calculus and a few facts about partial derivatives. The topics from advanced calculus that are used (e.g., Leibniz's rule for differ­ entiating under the integral sign) are proved in detail. Complex Variables is a subject which has something for all mathematicians. In addition to having applications to other parts of analysis, it can rightly claim to be an ancestor of many areas of mathematics (e.g., homotopy theory, manifolds). This view of Complex Analysis as "An Introduction to Mathe­ matics" has influenced the writing and selection of subject matter for this book. The other guiding principle followed is that all definitions, theorems, etc.

Reviews

"This book presents a basic introduction to complex analysis in both an interesting and a rigorous manner. It contains enough material for a full year's course, and the choice of material treated is reasonably standard and should be satisfactory for most first courses in complex analysis. The approach to each topic appears to be carefully thought out both as to mathematical treatment and pedagogical presentation, and the end result is a very satisfactory book for classroom use or self-study."   --MathSciNet

Table of contents (12 chapters)

Buy this book

eBook $49.99
price for USA (gross)
  • ISBN 978-1-4612-6313-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $64.95
price for USA
  • ISBN 978-0-387-90328-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $64.95
price for USA
  • ISBN 978-0-387-94234-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Functions of One Complex Variable I
Authors
Series Title
Graduate Texts in Mathematics
Series Volume
11
Copyright
1978
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media, Inc.
eBook ISBN
978-1-4612-6313-5
DOI
10.1007/978-1-4612-6313-5
Hardcover ISBN
978-0-387-90328-6
Softcover ISBN
978-0-387-94234-6
Series ISSN
0072-5285
Edition Number
2
Number of Pages
XIV, 322
Topics