This volume connects complex analysis with calculus, algebra, geometry, topology, and analysis. Exercises and illustrations are provided throughout the text. Also included is information on Bergman Kernal and two boundary behaviour of conformal mappings.The book should be of interest to scientists, engineers, physicists and chemists who use complex numbers and functions in their research, and to first-year graduate students.
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ROBERT E. GREENE is a professor in the Department of Mathematics at the University of California at Los Angeles.
STEVEN G. KRANTZ is a professor in the Department of Mathematics at Washington University in St. Louis, Missouri.
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Hardcover. Condición: Near Fine. Estado de la sobrecubierta: No Dust Jacket. First Edition (?); First Impression. A modern and sophisticated introduction to complex analysis, this volume presents one-variable function theory as a natural extension of multivariable real calculus. Designed primarily for first-year graduate students, this text emphasises rigorous analysis while highlighting connections to broader mathematical areas such as topology, geometry, algebra, and special functions. Filled with numerous examples, detailed exercise sets, and over 75 illustrations, it explores standard topics holomorphic functions, contour integrals, Cauchy's theorem and residues as well as deeper themes including the Bergman kernel, Hardy spaces, and the prime number theorem. A valuable resource for students and practitioners seeking a unified and rigorous presentation of classical complex analysis. ; 16.7x24.5x3.3cm; 512 pages. Nº de ref. del artículo: 64120
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