Complex Analysis

Complex Analysis

by Serge Lang

Paperback(Softcover reprint of hardcover 4th ed. 1999)

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Overview

This well-established book covers the basic material of complex analysis, plus many special topics, such as the Riemann mapping theorem, the gamma function, and analytic continuation.

Product Details

ISBN-13: 9781441931351
Publisher: Springer New York
Publication date: 11/19/2010
Series: Graduate Texts in Mathematics , #103
Edition description: Softcover reprint of hardcover 4th ed. 1999
Pages: 489
Sales rank: 1,194,664
Product dimensions: 6.10(w) x 9.25(h) x 0.04(d)

Table of Contents

I: BASIC THEORY. 1: Complex Numbers and Functions. 2: Power Series. 3: Cauchy's Theorem, First Part. 4: Winding Numbers and Cauchy's Theorem. 5: Applications of Cauchy's Integral Formula. 6: Calculus of Residues. 7: Conformal Mappings. 8: Harmonic Functions. II: GEOMETRIC FUNCTION THEORY. 9: Schwarz Reflection. 10: The Riemann Mapping Theorem. 11: Analytic Continuation Along Curves. III: VARIOUS ANALYTIC TOPICS. 12: Applications of the Maximum Modulus Principle and Jensen's Formula. 13: Entire and Meromorphic Functions. 14: Elliptic Functions. 15: The Gamma and Zeta Functions. 16: The Prime Number Theorem.

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