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Problems and solutions for Complex analysis /

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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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Bibliographic Details
Main Author: Shakarchi, Rami
Corporate Author: SpringerLink (Online service)
Other Authors: Lang, Serge, 1927-2005
Format: eBook
Language:English
Published: New York : Springer, [1999]
Subjects:
Mathematical analysis > Problems, exercises, etc.
Functions of complex variables > Problems, exercises, etc.
Functions of complex variables.
Mathematical analysis.
Electronic books.
Problems, exercises, etc.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 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.