A refreshingly example-driven approach to the classical theory of one complex variable. Beginning with chapters on special functions (including gamma, elliptic, and modular functions) and analytic functions before introducing foundational theorems, this unconventional text reverses the usual order of presentation found in older classics such as Whittaker & Watson placing concrete motivation before abstraction. ; 15.8x23.7x2cm; xi,228 pages.

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Titolo

Complex Analysis - Fundamentals of the Classical Theory of Functions - Modern Birkh�user Classics

Editore

Birkh�user, Boston

Data di pubblicazione

2009

Lingua

Inglese

ISBN 10

0817649182

ISBN 13

9780817649180

Rilegatura

Hardcover

Edizione

First Edition (?); First Impression.

Condizione

Very Good+

Condizione della sovraccoperta

No Dust Jacket

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Descrizione articolo

Riassunto

In standard texts, after hundreds of pages of theorems about generic analytic functions with only the rational and trigonometric functions as examples, students inevitably begin to believe that the purpose of complex analysis is to produce more such theorems.

Dalla quarta di copertina

This clear, concise introduction to the classical theory of one complex variable is based on the premise that "anything worth doing is worth doing with interesting examples." The content is driven by techniques and examples rather than definitions and theorems. This self-contained monograph is an excellent resource for a self-study guide and should appeal to a broad audience. The only prerequisite is a standard calculus course.

The first chapter deals with a beautiful presentation of special functions. . . . The third chapter covers elliptic and modular functions. . . in much more detail, and from a different point of view, than one can find in standard introductory books. . . . For [the] subjects that are omitted, the author has suggested some excellent references for the reader who wants to go through these topics. The book is read easily and with great interest. It can be recommended to both students as a textbook and to mathematicians and physicists as a useful reference. ---Mathematical Reviews

Mainly original papers are cited to support the historical remarks. The book is well readable. ---Zentralblatt f�r Mathematik

This is an unusual textbook, incorporating material showing how classical function theory can be used. . . . The general scheme is to show the reader how things were developed without following the traditional approach of most books on functional theory. . . . This book can be recommended to those who like to see applications of the theory taught in classical courses. ---EMS

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