Complex Analysis

  • Joseph Bak
  • Donald J. Newman

Part of the Undergraduate Texts in Mathematics book series (UTM)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Joseph Bak, Donald J. Newman
    Pages 1-20
  3. Joseph Bak, Donald J. Newman
    Pages 21-34
  4. Joseph Bak, Donald J. Newman
    Pages 35-43
  5. Joseph Bak, Donald J. Newman
    Pages 45-57
  6. Joseph Bak, Donald J. Newman
    Pages 59-75
  7. Joseph Bak, Donald J. Newman
    Pages 77-91
  8. Joseph Bak, Donald J. Newman
    Pages 93-105
  9. Joseph Bak, Donald J. Newman
    Pages 107-116
  10. Joseph Bak, Donald J. Newman
    Pages 117-128
  11. Joseph Bak, Donald J. Newman
    Pages 129-142
  12. Joseph Bak, Donald J. Newman
    Pages 161-168
  13. Joseph Bak, Donald J. Newman
    Pages 169-194
  14. Joseph Bak, Donald J. Newman
    Pages 195-214
  15. Joseph Bak, Donald J. Newman
    Pages 215-223
  16. Joseph Bak, Donald J. Newman
    Pages 225-239
  17. Joseph Bak, Donald J. Newman
    Pages 241-256
  18. Joseph Bak, Donald J. Newman
    Pages 257-272
  19. Joseph Bak, Donald J. Newman
    Pages 273-290

About this book

Introduction

This unusual and lively textbook offers a clear and intuitive approach to the classical and beautiful theory of complex variables. With very little dependence on advanced concepts from several-variable calculus and topology, the text focuses on the authentic complex-variable ideas and techniques. Notable additions to "Complex Analysis, Third Edition," include: • The solution of the cubic equation and Newton’s method for approximating the zeroes of any polynomial; • Expanded treatments of the Schwarz reflection principle and of the mapping properties of analytic functions on closed domains; • An introduction to Schwarz-Christoffel transformations and to Dirichlet series; • A streamlined proof of the prime number theorem, and more. Accessible to students at their early stages of mathematical study, this full first year course in complex analysis offers new and interesting motivations for classical results and introduces related topics stressing motivation and technique. Numerous illustrations, examples, and now 300 exercises, enrich the text. Students who master this textbook will emerge with an excellent grounding in complex analysis, and a solid understanding of its wide applicability.

Keywords

Analysis Complex analysis Funktionentheorie Residue theorem analytic function calculus maximum

Authors and affiliations

  • Joseph Bak
    • 1
  • Donald J. Newman
  1. 1.Department of MathematicsCity College of New YorkNew YorkUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4419-7288-0
  • Copyright Information Springer Science+Business Media, LLC 2010
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4419-7287-3
  • Online ISBN 978-1-4419-7288-0
  • Series Print ISSN 0172-6056
  • Series Online ISSN 2197-5604
  • About this book