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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Robert B. Burckel is Professor Emeritus of Mathematics at Kansas State University.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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