Complex Analysis

Name: Complex Analysis
Author: Serge Lang

Gebonden Engels 2003 4e druk 9780387985923

Verwachte levertijd ongeveer 9 werkdagen

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Samenvatting

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.

Specificaties

ISBN13:9780387985923

Taal:Engels

Bindwijze:gebonden

Aantal pagina's:489

Uitgever:Springer

Druk:4

Verschijningsdatum:30-7-2003

Hoofdrubriek:Wetenschap en techniek

Serie:Graduate Texts in Mathematics

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Inhoudsopgave

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.