Description

Book Synopsis
Classical Complex Analysis, available in two volumes, provides a clear, broad and solid introduction to one of the remarkable branches of exact science, with an emphasis on the geometric aspects of analytic functions. Volume 1 begins with a geometric description of what a complex number is, followed by a detailed account of algebraic, analytic and geometric properties of standard complex-valued functions. Geometric properties of analytic functions are then developed and described in detail, and various applications of residues are included; analytic continuation is also introduced.The book is rich in contents, figures, examples and exercises. It is self-contained and is designed for a variety of usages and motivations concerning advanced studies. It can be used both as a textbook for undergraduate and graduate students, and as a reference book in general.

Table of Contents
Complex Numbers; Complex-Valued Functions of a Complex Variable; Fundamental Theory: Differentiation, Integration and Analytic Functions; Fundamental Theory: Integration (Continued).

Classical Complex Analysis: A Geometric Approach

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    A Hardback by I-hsiung Lin

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      Book details

      Publisher World Scientific Publishing Co Pte Ltd
      Published 14 September 2010
      ISBN-13 9789814261227
      978-9814261227
      ISBN-10 981426122X

      Description

      Book Synopsis
      Classical Complex Analysis, available in two volumes, provides a clear, broad and solid introduction to one of the remarkable branches of exact science, with an emphasis on the geometric aspects of analytic functions. Volume 1 begins with a geometric description of what a complex number is, followed by a detailed account of algebraic, analytic and geometric properties of standard complex-valued functions. Geometric properties of analytic functions are then developed and described in detail, and various applications of residues are included; analytic continuation is also introduced.The book is rich in contents, figures, examples and exercises. It is self-contained and is designed for a variety of usages and motivations concerning advanced studies. It can be used both as a textbook for undergraduate and graduate students, and as a reference book in general.

      Table of Contents
      Complex Numbers; Complex-Valued Functions of a Complex Variable; Fundamental Theory: Differentiation, Integration and Analytic Functions; Fundamental Theory: Integration (Continued).

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