Description

Book Synopsis
A concise textbook on complex analysis for undergraduate and graduate students, this book is written from the viewpoint of modern mathematics: the Bar {Partial}-equation, differential geometry, Lie groups, all the traditional material on complex analysis is included. Setting it apart from others, the book makes many statements and proofs of classical theorems in complex analysis simpler, shorter and more elegant: for example, the Mittag-Leffer theorem is proved using the Bar {Partial}-equation, and the Picard theorem is proved using the methods of differential geometry.

Table of Contents
Calculus; Cauchy Integral Theorem and Cauchy Integral Formula; Theory of Series of Weierstrass; Riemann Mapping Theorem; Differential Geometry and Picard Theorem; A First Taste of Function Theory of Several Complex Variables; Elliptic Functions; The Riemann Zeta Function and the Prime Number Theorem.

Concise Complex Analysis (Revised Edition)

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    A Hardback by Sheng Gong, Youhong Gong

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      Book details

      Publisher World Scientific Publishing Co Pte Ltd
      Published 27 April 2007
      ISBN-13 9789812706935
      978-9812706935
      ISBN-10 9812706933
      Also in:
      Complex analysis, complex variables

      Description

      Book Synopsis
      A concise textbook on complex analysis for undergraduate and graduate students, this book is written from the viewpoint of modern mathematics: the Bar {Partial}-equation, differential geometry, Lie groups, all the traditional material on complex analysis is included. Setting it apart from others, the book makes many statements and proofs of classical theorems in complex analysis simpler, shorter and more elegant: for example, the Mittag-Leffer theorem is proved using the Bar {Partial}-equation, and the Picard theorem is proved using the methods of differential geometry.

      Table of Contents
      Calculus; Cauchy Integral Theorem and Cauchy Integral Formula; Theory of Series of Weierstrass; Riemann Mapping Theorem; Differential Geometry and Picard Theorem; A First Taste of Function Theory of Several Complex Variables; Elliptic Functions; The Riemann Zeta Function and the Prime Number Theorem.

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