Complex Analysis

V. Karunakaran

408 pages, parution le 09/01/2002

Ajouter à une liste

Indisponible

Résumé

This book introduces Complex Analysis to undergraduate and postgraduate students of mathematics in a lucid and clear language. This can be used as a textbook or as a reference book or for suplementing the other textbooks in this topic. The only pre-requisites are rudiments of real analysis, topology and linear algebra. The special features include an integrated approach to the concept of differentiation for complex valued functions of a complex variable, unified Cauchy-Riemann equations, a detailed discussion on the construction of Riemann Surfaces for elementary functions leading to its abstract concept, step-by-step development of the most general form of Cauchy's theorem, complex-version of real intermediate-value theorem, exhaustive treatment of contour integration and an introduction to the theory of univalent functions on the unit disc including a brief history of the Bieberbach's conjecture and its solution.

A number of solved problems, historical remarks and suggestions for further reading enhances the utility of this textbook.

Contents

Preface

A Bird's Eye View of the Complex Plane
Elementary Properties of Analytic Functions
Conformal Mappings
Complex Integral Calculus
Riemann Mapping Theorem

Solved Exercises

Index

Caractéristiques techniques

	PAPIER
Éditeur(s)	Alpha
Auteur(s)	V. Karunakaran
Parution	09/01/2002
Nb. de pages	408
Format	16,2 x 24,5
Couverture	Broché
Poids	812g
Intérieur	Noir et Blanc
EAN13	9781842650301
ISBN13	978-1-84265-030-1