Complex Analysis 4e - Lang.pdf

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Graduate Texts in Mathematics
S. Axler
F.w.
Gehring
103
K.A. Ribet
Editorial Board
Springer Science+Business Media, LLC
BOOKS OF RELATED INTEREST BY SERGE LANG
Short Calculus
2002, ISBN 0-387-95327-2
Calculus of Several Variables,
Third Edition
1987, ISBN 0-387-96405-3
Undergraduate Analysis,
Second Edition
1996, ISBN 0-387-94841-4
Introduction to Linear Algebra
1997, ISBN 0-387-96205-0
Math Talks for Undergraduates
1999, ISBN 0-387-98749-5
OTHER BOOKS BY LANG PUBLISHED BY
SPRINGER-VERLAG
Math! Encounters with High School Students • The Beauty of Doing Mathematics
• Geometry: A High School Course' Basic Mathematics' Short Calculus· A First
Course in Calculus • Introduction to Linear Algebra • Calculus of Several
Variables • Linear Algebra· Undergraduate Analysis • Undergraduate Algebra •
Complex Analysis • Math Talks for Undergraduates • Algebra • Real and
Functional Analysis· Introduction to Differentiable Manifolds • Fundamentals of
Differential Geometry • Algebraic Number Theory • Cyclotomic Fields I and II •
Introduction to Diophantine Approximations • SL
2
(R) • Spherical Inversion on
SLn(R) (with Jay Jorgenson) • Elliptic Functions· Elliptic Curves: Diophantine
Analysis • Introduction to Arakelov Theory • Riemann-Roch Algebra (with
William Fulton) • Abelian Varieties • Introduction to Algebraic and Abelian
Functions • Complex Multiplication • Introduction to Modular Forms • Modular
Units (with Daniel Kubert) • Introduction to Complex Hyperbolic Spaces •
Number Theory III • Survey on Diophantine Geometry
Collected Papers I-V, including the following: Introduction to Transcendental
Numbers in volume I, Frobenius Distributions in GL2-Extensions (with Hale
Trotter
in
volume II, Topics
in
Cohomology of Groups in volume IV, Basic
Analysis of Regularized Series and Products (with Jay Jorgenson)
in
volume V
and Explicit Formulas for Regularized Products and Series (with Jay Jorgenson) in
volume V
THE FILE· CHALLENGES
Serge Lang
Complex Analysis
Fourth Edition
With 139 Illustrations
,
Springer
SergeLang
Department of Mathematics
Yale University
New Haven,
cr
06520
USA
Editorial Board
S. Axler
Mathematics Department
San Francisco State
University
San Francisco, CA 94132
USA
Mathematics Department
EastHall
University of Michigan
Ann Arbor,
MI
48109
USA
F.W.
Gehring
K.A. Ribet
Mathematics Department
University ofCalifomia
atBerkeley
Berkeley, CA 94720-3840
USA
Mathematics Subject Classification (2000): 30-01
Library of Congress Cataloging-in-Publication Data
Lang,Serge,1927-
Complex analysis
I
Serge Lang. - 4th ed.
p.
cm. - (Graduate texts in mathematics; 103)
Jncludes bibliographical references and index.
ISBN 978-1-4419-3135-1
ISBN 978-1-4757-3083-8 (eBook)
DOI
10.1007/978-1-4757-3083-8
1. Functions of complex variables.
1.
ritle.
II.
Series
QA33 1.7 .L36 1999
515'.9-dc21
2. Mathematical analysis.
98-29992
Printed on acid-free paper.
©
1999 Springer Science+Business Media New York
Origina11y published
by
Springer-Verlag New York, Inc.
in
1999
Softcover reprint ofthe hardcover 4th edition 1999
AII rights reserved. This work may not be translated or copied in whole or in part without
the written permission of the publisher Springer Science+Business Media, LLC, except for
brief excerpts in connection with reviews or scholarly analysis. Use in connection with
any form of information storage and retrieval, electronic adaptation, computer software, or
by similar or dissimilar methodology now known or hereafter developed is forbidden.
The use in this publication of trade names, trademarks, service marks, and similar terms,
even if they are not identified as such, is not to be taken as an expression of opinion as to
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