Problems and solutions for 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,...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Shakarchi, Rami
Otros Autores: Lang, Serge, 1927-2005
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Springer, ©1999.
Temas:
Mathematical analysis > Problems, exercises, etc.
Functions of complex variables > Problems, exercises, etc.
Analyse mathématique > Problèmes et exercices.
Fonctions d'une variable complexe > Problèmes et exercices.
Functions of complex variables
Mathematical analysis
Problems, exercises, etc.
Problems and exercises
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.

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