Function Theory of One Complex Variable - Couverture rigide

Greene, Robert E.; Krantz, Steven G.

 
9780471804680: Function Theory of One Complex Variable

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.

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Quatrième 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

Présentation de l'éditeur

This book offers an excellent modern introduction to complex analysis, one of the core components of mathematics. It establishes the basic analytical ideas before moving on to more topological subjects, easing the transition from familiar ideas of calculus to the more advanced ones distinctive to complex analysis.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9780821829059: Function Theoy Of One Complex Variable

Edition présentée

ISBN 10 :  082182905X ISBN 13 :  9780821829059
Editeur : American Mathematical Society, 2001
Couverture rigide