Classical Complex Analysis: A Geometric Approach (Volume 1)

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.

List of contents

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

Product details

• Authors: I-Hsiung Lin, I-hsiung Lin
• Publisher: Ingram Publishers Services
• Languages: English
• Product format: Paperback / Softback
• Released: 14.09.2010
• EAN: 9789814261234
• ISBN: 978-981-4261-23-4
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Geometry; MATHEMATICS / Geometry / Analytic, Analytic geometry