Graduate Texts in Mathematics

Functions of One Complex Variable II

Authors: Conway, John B.

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  • ISBN 978-1-4612-0817-4
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Hardcover $64.95
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About this Textbook

This is the sequel to my book Functions of One Complex Variable I, and probably a good opportunity to express my appreciation to the mathemat­ ical community for its reception of that work. In retrospect, writing that book was a crazy venture. As a graduate student I had had one of the worst learning experiences of my career when I took complex analysis; a truly bad teacher. As a non-tenured assistant professor, the department allowed me to teach the graduate course in complex analysis. They thought I knew the material; I wanted to learn it. I adopted a standard text and shortly after beginning to prepare my lectures I became dissatisfied. All the books in print had virtues; but I was educated as a modern analyst, not a classical one, and they failed to satisfy me. This set a pattern for me in learning new mathematics after I had become a mathematician. Some topics I found satisfactorily treated in some sources; some I read in many books and then recast in my own style. There is also the matter of philosophy and point of view. Going from a certain mathematical vantage point to another is thought by many as being independent of the path; certainly true if your only objective is getting there. But getting there is often half the fun and often there is twice the value in the journey if the path is properly chosen.

Table of contents (9 chapters)

  • Return to Basics

    Conway, John B.

    Pages 1-27

  • Conformal Equivalence for Simply Connected Regions

    Conway, John B.

    Pages 29-70

  • Conformal Equivalence for Finitely Connected Regions

    Conway, John B.

    Pages 71-107

  • Analytic Covering Maps

    Conway, John B.

    Pages 109-131

  • De Branges’s Proof of the Bieberbach Conjecture

    Conway, John B.

    Pages 133-167

Buy this book

eBook $49.99
price for USA (gross)
  • ISBN 978-1-4612-0817-4
  • 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 978-0-387-94460-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $79.99
price for USA
  • ISBN 978-1-4612-6911-3
  • 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 II
Authors
Series Title
Graduate Texts in Mathematics
Series Volume
159
Copyright
1995
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-0817-4
DOI
10.1007/978-1-4612-0817-4
Hardcover ISBN
978-0-387-94460-9
Softcover ISBN
978-1-4612-6911-3
Series ISSN
0072-5285
Edition Number
1
Number of Pages
XVI, 396
Topics