Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis
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Classical Analysis in the Complex Plane (Hardcover, 1st ed. 2021)
Loot Price: R3,395
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Classical Analysis in the Complex Plane (Hardcover, 1st ed. 2021)
Series: Cornerstones
Expected to ship within 10 - 15 working days
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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
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