A modern and sophisticated introduction to complex analysis, this volume presents one-variable function theory as a natural extension of multivariable real calculus. Designed primarily for first-year graduate students, this text emphasises rigorous analysis while highlighting connections to broader mathematical areas such as topology, geometry, algebra, and special functions. Filled with numerous examples, detailed exercise sets, and over 75 illustrations, it explores standard topics holomorphic functions, contour integrals, Cauchy s theorem and residues as well as deeper themes including the Bergman kernel, Hardy spaces, and the prime number theorem. A valuable resource for students and practitioners seeking a unified and rigorous presentation of classical complex analysis. ; 16.7x24.5x3.3cm; 512 pages.

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D�tails bibliographiques

Titre

Function Theory of One Complex Variable - Pure and Applied Mathematics: a Wiley Series of Texts, Monographs and Tracts

�diteur

Wiley Blackwell, U. S. A

Date de parution

1997

Langue

anglais

ISBN � 10 chiffres

0471804681

ISBN � 13 chiffres

9780471804680

Reliure

Hardcover

�dition

First Edition (?); First Impression.

�tat de l'article

Near Fine

�tat de la jaquette

No Dust Jacket

Catalogues du vendeur

A propos de ce titre

Synopsis

This volume connects complex analysis with calculus, algebra, geometry, topology, and analysis. Exercises and illustrations are provided throughout the text. Also included is information on Bergman Kernal and two boundary behaviour of conformal mappings.The book should be of interest to scientists, engineers, physicists and chemists who use complex numbers and functions in their research, and to first-year graduate students.

Quatri�me de couverture

A new approach that treats complex analysis in a broad context

This book presents a new approach to one of mathematics′ oldest fields. It departs from the tradition of teaching complex analysis as a self–contained subject and, instead, treats the subject as a natural development from calculus. It also shows how complex analysis is used in other areas, exploring connections with calculus, algebra, geometry, topology, and other parts of analysis.

The authors provide the ideal framework for a first–year graduate course in complex analysis building upon ideas the student is already familiar with and simplifying the transition to advanced topics. The book is also for those using complex numbers and functions in applied fields, including engineering, physics, and other areas.

Function Theory of One Complex Variable

Compares and contrasts complex variable theory with real variable theory
Clarifies analytical ideas belonging to complex analysis by separating them from topological issues
Discusses some of the current research in the field, including a number of interesting topics not discussed in other textbooks
Features many examples as well as 75 illustrations
Provides especially thorough exercise sets

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

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