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Complex Analysis

This unusual and lively textbook offers a clear and intuitive approach to the classical and beautiful theory of complex variables. With very little dependence on advanced concepts from several-variable calculus and topology, the text focuses on the authentic complex-variable ideas and techniques. No...

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Bibliographic Details
Main Authors: Bak, Joseph. (Author), Newman, Donald J. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic
Language:English
Published: New York, NY : Springer New York, 2010.
Series:Undergraduate Texts in Mathematics,
Subjects:
Mathematics.
Global analysis (Mathematics).
Analysis.
Online Access:https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4419-7288-0
Table of Contents:
  • Preface
  • The Complex Numbers
  • Functions of the Complex Variable z
  • Analytic Functions
  • Line Integrals and Entire Functions
  • Properties of Entire Functions
  • Properties of Analytic Functions
  • Further Properties of Analytic Functions; 8. Simply Connected Domains
  • Isolated Sigularities of an Analytic Function
  • The Residue Theorem
  • Applications of The Residue Theorem to the Evaluation of Integrals Sums
  • Further Contour Integral Techniques
  • Introduction to Conformal Mapping
  • The Riemann Mapping Theorem
  • Maximum-Modulus Theorems for Unbounded Domains
  • Harmonic Functions
  • Different Forms of Analytic Functions
  • Analytic Continuation; The Gamma and Zeta Functions
  • Applications to Other Areas of Mathematics
  • Appendices
  • Answers
  • Bibliography
  • Index.

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