Articles liés à 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.
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Function Theory of One Complex Variable - Pure and Applied Mathematics: a Wiley Series of Texts, Monographs and Tracts
Edité par
Wiley Blackwell, U. S. A, 1997
ISBN 10 : 0471804681
ISBN 13 : 9780471804680
Ancien ou d'occasion
Couverture rigide
Edition originale
Vendeur : Literary Cat Books, Machynlleth, Powys, WALES, Royaume-Uni
Évaluation du vendeur 4 sur 5 étoiles
Hardcover. Etat : Near Fine. Etat de la jaquette : No Dust Jacket. First Edition (?); First Impression. 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. N° de réf. du vendeur 64120
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