Theory of Functions of Complex Variable (Classic Reprint) - Couverture souple

Unknown, A. Russell Forsyth

 
9781440070334: Theory of Functions of Complex Variable (Classic Reprint)

Synopsis

This book is a detailed discussion of the theory of functions of a complex variable, based on the works of Weierstrass, Mittag-Leffler, Riemann, and others. It begins with the basic concepts of functions, their representations in terms of series and derivatives, and their properties under conformal transformations. The book then delves into uniform functions, multiform functions, Riemann surfaces, and algebraic functions, providing a thorough understanding of the connections between them. The author also explores transcendental integral functions, functions with essential singularities, and functions with unlimited essential singularities. The text includes examples and exercises throughout to illustrate the concepts and their applications. This book offers a comprehensive and rigorous treatment of the theory of functions of a complex variable, suitable for mathematics students and researchers interested in this field.

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