Overview
- 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
Part of the book series: Cornerstones (COR)
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Table of contents (13 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Classical Analysis in the Complex Plane
Authors: Robert B. Burckel
Series Title: Cornerstones
DOI: https://doi.org/10.1007/978-1-0716-1965-0
Publisher: Birkhäuser New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC, part of Springer Nature 2021
Hardcover ISBN: 978-1-0716-1963-6Published: 12 October 2021
eBook ISBN: 978-1-0716-1965-0Published: 11 October 2021
Series ISSN: 2197-182X
Series E-ISSN: 2197-1838
Edition Number: 1
Number of Pages: XXIX, 1123
Topics: Functions of a Complex Variable, Several Complex Variables and Analytic Spaces