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Complex analysis

Author: Serge Lang
Publisher: New York : Springer-Verlag, ©1985.
Series: Graduate texts in mathematics, 103.
Edition/Format:   Book : English : 2nd edView all editions and formats
Database:WorldCat
Summary:
The first part of the book covers the basic material of complex analysis, and 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 in other texts, and the proofs using these methods often shed more light on the results than the standard proofs do. The first part of Complex Analysis is suitable  Read more...
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Additional Physical Format: Online version:
Lang, Serge, 1927-2005.
Complex analysis.
New York : Springer-Verlag, ©1985
(OCoLC)624455315
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Serge Lang
ISBN: 0387960856 9780387960852 3540960856 9783540960850
OCLC Number: 11316019
Notes: Includes index.
Description: xiv, 367 pages : illustrations ; 25 cm.
Contents: pt. I. Basic theory. 1. Complex numbers and functions --
2. Power series --
3. Cauchy's theorem, first part --
4. Cauchy's theorem, second part --
5. Applications of Cauchy's integral formulas --
6. Calculus of residues --
7. Conformal mappings --
8. Harmonic functions --
pt. II. Various analytic topics. 9. Applications of the maximum modulus principle --
10. Entire and meromorphic functions --
11. Elliptic functions --
12. Differentiating under an integral --
13. Analytic continuation --
14. The Riemann mapping theorem.
Series Title: Graduate texts in mathematics, 103.
Responsibility: Serge Lang.

Abstract:

The first part of the book covers the basic material of complex analysis, and 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 in other texts, and the proofs using these methods often shed more light on the results than the standard proofs do. The first part of Complex Analysis is suitable for an introductory course on the undergraduate level, and the additional topics covered in the second part give the instructor of a graduate course a great deal of flexibility in structuring a more advanced course.

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