Description

Book Synopsis
Complex analysis is a beautiful subject — perhaps the single most beautiful; and striking; in mathematics. It presents completely unforeseen results that are of a dramatic; even magical; nature. This invaluable book will convey to the student its excitement and extraordinary character. The exposition is organized in an especially efficient manner; presenting basic complex analysis in around 130 pages; with about 50 exercises. The material constantly relates to and contrasts with that of its sister subject; real analysis. An unusual feature of this book is a short final chapter containing applications of complex analysis to Lie theory.Since much of the content originated in a one-semester course given at the CUNY Graduate Center; the text will be very suitable for first year graduate students in mathematics who want to learn the basics of this important subject. For advanced undergraduates; there is enough material for a year-long course or; by concentrating on the first three chapters; for one-semester course.

Table of Contents
First Concepts; Integration Along a Contour; The Main Consequences of Cauchy's Theorem; Singularities; Conformal Mappings; Applications of Complex Analysis to Lie Theory.

Course In Complex Analysis In One Variable, A

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    A Hardback by Martin Moskowitz

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      Book details

      Publisher World Scientific Publishing Co Pte Ltd
      Published 18 April 2002
      ISBN-13 9789810247805
      978-9810247805
      ISBN-10 981024780X
      Also in:
      Complex analysis, complex variables

      Description

      Book Synopsis
      Complex analysis is a beautiful subject — perhaps the single most beautiful; and striking; in mathematics. It presents completely unforeseen results that are of a dramatic; even magical; nature. This invaluable book will convey to the student its excitement and extraordinary character. The exposition is organized in an especially efficient manner; presenting basic complex analysis in around 130 pages; with about 50 exercises. The material constantly relates to and contrasts with that of its sister subject; real analysis. An unusual feature of this book is a short final chapter containing applications of complex analysis to Lie theory.Since much of the content originated in a one-semester course given at the CUNY Graduate Center; the text will be very suitable for first year graduate students in mathematics who want to learn the basics of this important subject. For advanced undergraduates; there is enough material for a year-long course or; by concentrating on the first three chapters; for one-semester course.

      Table of Contents
      First Concepts; Integration Along a Contour; The Main Consequences of Cauchy's Theorem; Singularities; Conformal Mappings; Applications of Complex Analysis to Lie Theory.

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