Functions of One Complex Variable I

  • John B. Conway

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

Table of contents

  1. Front Matter
    Pages i-xiii
  2. John B. Conway
    Pages 1-10
  3. John B. Conway
    Pages 11-29
  4. John B. Conway
    Pages 58-102
  5. John B. Conway
    Pages 103-127
  6. John B. Conway
    Pages 128-141
  7. John B. Conway
    Pages 195-209
  8. John B. Conway
    Pages 210-251
  9. John B. Conway
    Pages 252-278
  10. John B. Conway
    Pages 279-291
  11. John B. Conway
    Pages 292-301
  12. Back Matter
    Pages 303-321

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 - 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.


Argument principle Complex analysis Meromorphic function Monodromy Riemann surfaces analytic function gamma function

Authors and affiliations

  • John B. Conway
    • 1
  1. 1.Mathematics DepartmentUniversity of TennesseeKnoxvilleUSA

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag New York 1978
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-94234-6
  • Online ISBN 978-1-4612-6313-5
  • Series Print ISSN 0072-5285
  • About this book