Classical Analysis in the Complex Plane by Robert B Burckel

Classical Analysis in the Complex Plane by Robert B Burckel

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

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

SKU	Unavailable
ISBN 13	9781071619636
ISBN 10	1071619632
Title	Classical Analysis in the Complex Plane
Author	Robert B Burckel
Series	Cornerstones
Condition	Unavailable
Binding Type	Hardback
Publisher	Springer-Verlag New York Inc.
Year published	2021-10-12
Number of pages	1123
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.