Volume: 385; 2021; 331 pp; Softcover
MSC: Primary 30;
Print ISBN: 978-1-4704-6767-8
Product Code: CHEL/385
List Price: $60.00
AMS Member Price: $48.00
MAA Member Price: $54.00
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Complex Analysis: An Introduction to the Theory of Analytic Functions of One Complex Variable, Third Edition
Share this pageLars Ahlfors
AMS Chelsea Publishing: An Imprint of the American Mathematical Society
This book is a reprint of the third edition of
the classic book on complex analysis. It is a rigorous introduction
on an elementary level to the theory of analytic functions of one
complex variable and is intended to be used by first year graduate
students and advanced undergraduate students.
The book covers standard topics in an introductory complex analysis
course. The presentation is slanted toward the geometric approach to
complex analysis, with a lot of material on conformal mappings, the
Riemann mapping theorem, Dirichlet's problem (the existence of a
harmonic function with given boundary values), the monodromy theorem,
and consideration of the kinds of regions that the Cauchy integral
theorem holds for. It also covers such analytic topics as power
series, contour integrals, and infinite products. The coverage of
special functions is concise but reasonably complete. The presentation
is concise, clear, and thorough, and is still fresh today, more than
thirty years after its last revision.
Readership
Graduate and undergraduate students interested in teaching and learning complex analysis.
Table of Contents
Complex Analysis: An Introduction to the Theory of Analytic Functions of One Complex Variable, Third Edition