Cornerstones

Classical Analysis in the Complex Plane

Authors: Burckel, Robert B.

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  • Covers the classical theory of functions of a single complex variable with depth, precision, and rigor
  • Presents the subject from an authoritative historical perspective, containing more than 2,000 references
  • Offers an exemplary resource for those doing scholarly work on the subject
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eBook $109.00
price for USA in USD
  • ISBN 978-1-0716-1965-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-1-0716-1963-6
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  • Usually ready to be dispatched within 3 to 5 business days, if in stock
About this Textbook

This authoritative text presents the classical theory of functions of a single complex variable in complete mathematical and historical detail.  Requiring only minimal, undergraduate-level prerequisites, it covers the fundamental areas of the subject with depth, precision, and rigor.  Standard and novel proofs are explored in unusual detail, and exercises – many with helpful hints – provide ample opportunities for practice and a deeper understanding of the material.
In addition to the mathematical theory, the author also explores how key ideas in complex analysis have evolved over many centuries, allowing readers to acquire an extensive view of the subject’s development.  Historical notes are incorporated throughout, and a bibliography containing more than 2,000 entries provides an exhaustive list of both important and overlooked works.  
Classical Analysis in the Complex Plane will be a definitive reference for both graduate students and experienced mathematicians alike, as well as an exemplary resource for anyone doing scholarly work in complex analysis.  The author’s expansive knowledge of and passion for the material is evident on every page, as is his desire to impart a lasting appreciation for the subject.

“I can honestly say that Robert Burckel’s book has profoundly influenced my view of the subject of complex analysis.  It has given me a sense of the historical flow of ideas, and has acquainted me with byways and ancillary results that I never would have encountered in the ordinary course of my work.  The care exercised in each of his proofs is a model of clarity in mathematical writing…Anyone in the field should have this book on [their bookshelves] as a resource and an inspiration.”- From the Foreword by Steven G. Krantz

About the authors

Robert B. Burckel is Professor Emeritus of Mathematics at Kansas State University.

Table of contents (13 chapters)

Table of contents (13 chapters)

Buy this book

eBook $109.00
price for USA in USD
  • ISBN 978-1-0716-1965-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-1-0716-1963-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Classical Analysis in the Complex Plane
Authors
Series Title
Cornerstones
Copyright
2021
Publisher
Springer US
Copyright Holder
Springer Science+Business Media, LLC, part of Springer Nature
eBook ISBN
978-1-0716-1965-0
DOI
10.1007/978-1-0716-1965-0
Hardcover ISBN
978-1-0716-1963-6
Series ISSN
2197-182X
Edition Number
1
Number of Pages
XXIX, 1123
Topics