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Handbook of Complex Variables

  • Steven G. Krantz

Table of contents

  1. Front Matter
    Pages i-xxiv
  2. Steven G. Krantz
    Pages 1-17
  3. Steven G. Krantz
    Pages 19-29
  4. Steven G. Krantz
    Pages 31-39
  5. Steven G. Krantz
    Pages 41-68
  6. Steven G. Krantz
    Pages 69-78
  7. Steven G. Krantz
    Pages 79-88
  8. Steven G. Krantz
    Pages 89-101
  9. Steven G. Krantz
    Pages 103-115
  10. Steven G. Krantz
    Pages 117-122
  11. Steven G. Krantz
    Pages 123-141
  12. Steven G. Krantz
    Pages 143-147
  13. Steven G. Krantz
    Pages 149-154
  14. Steven G. Krantz
    Pages 155-162
  15. Steven G. Krantz
    Pages 163-194
  16. Steven G. Krantz
    Pages 195-217
  17. Steven G. Krantz
    Pages 219-229
  18. Back Matter
    Pages 231-290

About this book

Introduction

This book is written to be a convenient reference for the working scientist, student, or engineer who needs to know and use basic concepts in complex analysis. It is not a book of mathematical theory. It is instead a book of mathematical practice. All the basic ideas of complex analysis, as well as many typical applica­ tions, are treated. Since we are not developing theory and proofs, we have not been obliged to conform to a strict logical ordering of topics. Instead, topics have been organized for ease of reference, so that cognate topics appear in one place. Required background for reading the text is minimal: a good ground­ ing in (real variable) calculus will suffice. However, the reader who gets maximum utility from the book will be that reader who has had a course in complex analysis at some time in his life. This book is a handy com­ pendium of all basic facts about complex variable theory. But it is not a textbook, and a person would be hard put to endeavor to learn the subject by reading this book.

Keywords

Argument principle Blaschke product Complex analysis Mathematik Meromorphic function Monodromy Residue theorem Riemann surfaces Schwarz lemma Variable analytic function gamma function ksa

Authors and affiliations

  • Steven G. Krantz
    • 1
  1. 1.Department of MathematicsWashington University in St. LouisSt. LouisUSA

Bibliographic information