Complex Analysis: Fundamentals of the Classical Theory of Functions (Modern Birkhäuser Classics)

Stalker, John

ISBN 10: 0817649182 / ISBN 13: 9780817649180

Editore: Birkhäuser, 2009

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Dati bibliografici

• Titolo: Complex Analysis: Fundamentals of the Classical Theory of Functions (Modern Birkhäuser Classics)
• Editore: Birkhäuser
• Data di pubblicazione: 2009
• Lingua: Inglese
• ISBN 10: 0817649182
• ISBN 13: 9780817649180
• Rilegatura: Brossura
• Condizione: New

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 für 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