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25 Remote Warehouse Mathematics- Analysis General

Graduate Texts in Mathematics #103: Complex Analysis

by Serge Lang

Graduate Texts in Mathematics #103: Complex Analysis Cover

 

Synopses & Reviews

Publisher Comments:

Now in its fourth edition, the first part of this book is devoted to the basic material of complex analysis, while the second covers many special topics, such as the Riemann Mapping Theorem, the gamma function, and analytic continuation. Power series methods are used more systematically than is found in other texts, and the resulting proofs often shed more light on the results than the standard proofs. While the first part is suitable for an introductory course at undergraduate level, the additional topics covered in the second part give the instructor of a gradute course a great deal of flexibility in structuring a more advanced course.

Synopsis:

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.

Description:

Includes bibliographical references (p. [479]) and index.
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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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Product Details

ISBN:
9780387985923
Author:
Lang, Serge
Author:
Lang, S.
Publisher:
Springer
Location:
New York :
Subject:
Mathematical Analysis
Subject:
Probability
Subject:
Functions of complex variables
Subject:
Probability & Statistics - General
Subject:
Mathematics-Analysis General
Subject:
Analysis
Copyright:
2003
Edition Number:
4
Edition Description:
1999. Corr. 3rd
Series:
Graduate Texts in Mathematics
Series Volume:
103
Publication Date:
July 2003
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
499
Dimensions:
235 x 155 mm 918 gr
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Graduate Texts in Mathematics #103: Complex Analysis New Hardcover
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Product details 499 pages Springer-Verlag - English 9780387985923 Reviews:
"Synopsis" by , 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.
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