An Introduction to Complex Function Theory (Undergraduate Texts in Mathematics) - Tapa blanda

Libro 81 de 163: Undergraduate Texts in Mathematics

Palka, Bruce P. P.

 
9781461269670: An Introduction to Complex Function Theory (Undergraduate Texts in Mathematics)
Tapa blanda
ISBN 10: 1461269679 ISBN 13: 9781461269670
Editorial: Springer, 2012

Sinopsis

This book provides a rigorous yet elementary introduction to the theory of analytic functions of a single complex variable. Starting from basic definitions, the text slowly and carefully develops the ideas of complex analysis to such a degree that Cauchy's theorem, the Riemann mapping theorem, and the theorem of Mittag-Leffler can be treated without side-stepping any issues of rigor. Each chapter concludes with a wide selection of exercises.

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Reseña del editor

This book provides a rigorous yet elementary introduction to the theory of analytic functions of a single complex variable. While presupposing in its readership a degree of mathematical maturity, it insists on no formal prerequisites beyond a sound knowledge of calculus. Starting from basic definitions, the text slowly and carefully develops the ideas of complex analysis to the point where such landmarks of the subject as Cauchy's theorem, the Riemann mapping theorem, and the theorem of Mittag-Leffler can be treated without sidestepping any issues of rigor. The emphasis throughout is a geometric one, most pronounced in the extensive chapter dealing with conformal mapping, which amounts essentially to a "short course" in that important area of complex function theory. Each chapter concludes with a wide selection of exercises, ranging from straightforward computations to problems of a more conceptual and thought-provoking nature.

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Editorial
Springer
Año de publicación
2012
Idioma
Inglés
ISBN 10 
1461269679
ISBN 13 
9781461269670
Encuadernación
Tapa blanda
Número de páginas
580
Contacto del fabricante
no disponible
Persona responsable
CMN Printpool Inh. Mathis Neumann
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Friedrich-Karl-Str. 9
Hamburg
Alemania

Otras ediciones populares con el mismo título

9780387974279: An Introduction to Complex Function Theory (Undergraduate Texts in Mathematics)

Edición Destacada

ISBN 10:  038797427X ISBN 13:  9780387974279
Editorial: Springer, 1995
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