Introduction to Complex Analysis
Kodaira, Kunihiko
Introduction to Complex Analysis - Cambridge New York : Cambridge University Press, 1984. - ix, 256 pages : illustrations ;
Includes Index
Holomorphic function --
Cauchy's theorem --
Conformal mappings --
Analytic continuation --
Riemann's mapping theorem.
This textbook is an introduction to the classical theory of functions of a complex variable. The author's aim is to explain the basic theory in an easy-to-understand and careful way. He emphasizes geometrical considerations and, to avoid topological difficulties associated with complex analysis, begins by deriving Cauchy's integral formula in a topologically simple case and then deduces the basic properties of continuous and differentiable functions. The general versions of Cauchy's Theorem and integral formula are proved in Chapter 2. The remainder of the book deals with conformal mappings, analytic continuation, and Riemann's Mapping Theorem. The presentation here is very full and detailed. The book is profusely illustrated and includes many examples. Problems are collected together at the end of the book. It should be an ideal text for first courses in complex analysis.
9780521243919 0521243912 9780521286596 052128659X
Holomorphic functions.
515.98 / KOD
Introduction to Complex Analysis - Cambridge New York : Cambridge University Press, 1984. - ix, 256 pages : illustrations ;
Includes Index
Holomorphic function --
Cauchy's theorem --
Conformal mappings --
Analytic continuation --
Riemann's mapping theorem.
This textbook is an introduction to the classical theory of functions of a complex variable. The author's aim is to explain the basic theory in an easy-to-understand and careful way. He emphasizes geometrical considerations and, to avoid topological difficulties associated with complex analysis, begins by deriving Cauchy's integral formula in a topologically simple case and then deduces the basic properties of continuous and differentiable functions. The general versions of Cauchy's Theorem and integral formula are proved in Chapter 2. The remainder of the book deals with conformal mappings, analytic continuation, and Riemann's Mapping Theorem. The presentation here is very full and detailed. The book is profusely illustrated and includes many examples. Problems are collected together at the end of the book. It should be an ideal text for first courses in complex analysis.
9780521243919 0521243912 9780521286596 052128659X
Holomorphic functions.
515.98 / KOD