Problems and Solutions for Complex Analysis
(Sprache: Englisch)
All the exercises plus their solutions for Serge Lang's fourth edition of "Complex Analysis," ISBN 0-387-98592-1. The problems in the first 8 chapters are suitable for an introductory course at undergraduate level and cover power series, Cauchy's theorem,...
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All the exercises plus their solutions for Serge Lang's fourth edition of "Complex Analysis," ISBN 0-387-98592-1. The problems in the first 8 chapters are suitable for an introductory course at undergraduate level and cover power series, Cauchy's theorem, Laurent series, singularities and meromorphic functions, the calculus of residues, conformal mappings, and harmonic functions. The material in the remaining 8 chapters is more advanced, with problems on Schwartz reflection, analytic continuation, Jensen's formula, the Phragmen-Lindeloef theorem, entire functions, Weierstrass products and meromorphic functions, the Gamma function and Zeta function. Also beneficial for anyone interested in learning complex analysis.
This volume contains all the exercises, and their solutions, for Serge Lang's fourth edition of "Complex Analysis," ISBN 0-387-98592-1. The problems in the first 8 chapters are suitable for an introductory course at the undergraduate level and cover the following topics: power series, Cauchy's theorem, Laurent series, singularities and meromorphic functions, the calculus of residues, conformal mappings, and harmonic functions. The material in Chapters 9-16 is more advanced. The reader will find problems on Schwartz reflection, analytic continuation, Jensen's formula, the Phragmen-Lindeloef theorem, entire functions, Weierstrass products and meromorphic functions, the Gamma function and Zeta function. This volume also serves as an independent source of problems with detailed answers beneficial for anyone interested in learning complex analysis.
Inhaltsverzeichnis zu „Problems and Solutions for Complex Analysis “
- Complex Numbers and Functions- Power Series
- Cauchy's Theorem, First Part
- Winding Numbers and Cauchy's Theorem
- Applications of Cauchy's Integral Formula
- Calculus of Residues
- Conformal Mappings
- Harmonic Functions
- Schwarz Reflection
- The Riemann Mapping Theorem
- Analytic Continuation Along Curves
- Applications of the Maximum Modulus Principle and Jensen's Formula
- Entire and Meromorphic Functions
- Elliptic Functions
- The Gamma and Zeta Functions
- The Prime Number Theorem
- Appendix
Bibliographische Angaben
- Autor: Rami Shakarchi
- 1999, 260 Seiten, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer, New York
- ISBN-10: 0387988319
- ISBN-13: 9780387988313
- Erscheinungsdatum: 14.10.1999
Sprache:
Englisch
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