© 1973

Functions of One Complex Variable


Part of the Graduate Texts in Mathematics book series (GTM, volume 11)

Table of contents

  1. Front Matter
    Pages i-xi
  2. John B. Conway
    Pages 1-10
  3. John B. Conway
    Pages 11-29
  4. John B. Conway
    Pages 58-98
  5. John B. Conway
    Pages 99-123
  6. John B. Conway
    Pages 124-137
  7. John B. Conway
    Pages 191-211
  8. John B. Conway
    Pages 212-253
  9. John B. Conway
    Pages 254-280
  10. John B. Conway
    Pages 281-293
  11. John B. Conway
    Pages 294-303
  12. Back Matter
    Pages 304-313

About this book


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 - I) 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.


Derivative calculus compactness maximum minimum

Authors and affiliations

  1. 1.Indiana UniversityBloomingtonUSA

About the authors

Bibliographic information

  • Book Title Functions of One Complex Variable
  • Authors J.B. Conway
  • Series Title Graduate Texts in Mathematics
  • DOI
  • Copyright Information Springer-Verlag New York 1973
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-387-90061-2
  • Softcover ISBN 978-0-387-90062-9
  • eBook ISBN 978-1-4615-9972-2
  • Series ISSN 0072-5285
  • Edition Number 1
  • Number of Pages XIII, 313
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Analysis
  • Buy this book on publisher's site
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