A Course in Complex Analysis by Saeed Zakeri

A Course in Complex Analysis by Saeed Zakeri

A comprehensive graduate-level textbook that takes a fresh approach to complex analysis A Course in Complex Analysis explores a central branch of mathematical analysis, with broad applications in mathematics and other fields such as physics and engineering. Ideally designed for a year-long graduate course on complex analysis and based on nearly twenty years of classroom lectures, this modern and comprehensive textbook is equally suited for independent study or as a reference for more experienced scholars. Saeed Zakeri guides the reader through a journey that highlights the topological and geometric themes of complex analysis and provides a solid foundation for more advanced studies, particularly in Riemann surfaces, conformal geometry, and dynamics. He presents all the main topics of classical theory in great depth and blends them seamlessly with many elegant developments that are not commonly found in textbooks at this level. They include the dynamics of Möbius transformations, Schlicht functions and distortion theorems, boundary behavior of conformal and harmonic maps, analytic arcs and the general reflection principle, Hausdorff dimension and holomorphic removability, a multifaceted approach to the theorems of Picard and Montel, Zalcman’s rescaling theorem, conformal metrics and Ahlfors’s generalization of the Schwarz lemma, holomorphic branched coverings, geometry of the modular group, and the uniformization theorem for spherical domains. Written with exceptional clarity and insightful style, A Course in Complex Analysis is accessible to beginning graduate students and advanced undergraduates with some background knowledge of analysis and topology. Zakeri includes more than 350 problems, with problem sets at the end of each chapter, along with numerous carefully selected examples. This well-organized and richly illustrated book is peppered throughout with marginal notes of historical and expository value. Presenting a wealth of material in a single volume, A Course in Complex Analysis will be a valuable resource for students and working mathematicians.

"A no-nonsense, clearly written graduate level textbook. . . far more approachable than many other books on complex analysis"---Jonathan Shock, Mathemafrica
"An excellent textbook. . . . Carefully and precisely written in a lively style."---Ali Abkar, zbMATH Open
"Beautifully produced, beautifully written, on an incomparably beautiful area of mathematics, this is an inspirational book that I shall gratefully return to again and again."---Nick Lord, Mathematical Gazette

Saeed Zakeri is professor of mathematics at Queens College and the Graduate Center, City University of New York. He is the author of Rotation Sets and Complex Dynamics.

SKU	Unavailable
ISBN 13	9780691207582
ISBN 10	0691207585
Title	A Course in Complex Analysis
Author	Saeed Zakeri
Condition	Unavailable
Binding Type	Hardback
Publisher	Princeton University Press
Year published	2021-11-02
Number of pages	448
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note	Unavailable