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A course in mathematical analysis.Vo...

Garling, D. J. H.

A course in mathematical analysis.Volume III,Complex analysis, measure and integration

Record Type:	Electronic resources : Monograph/item
Title/Author:	A course in mathematical analysis.D. J. H. Garling.
remainder title:	Complex analysis, measure and integration
Author:	Garling, D. J. H.
Published:	Cambridge :Cambridge University Press,2014.
Description:	x, pages 627-939) :ill., digital ;24 cm.
Subject:	Mathematical analysis.
Online resource:	https://doi.org/10.1017/CBO9781139424516
ISBN:	9781139424516$q(electronic bk.)

A course in mathematical analysis.Volume III,Complex analysis, measure and integration
Garling, D. J. H.

A course in mathematical analysis.Volume III,Complex analysis, measure and integration[electronic resource] /Complex analysis, measure and integrationD. J. H. Garling. - Cambridge :Cambridge University Press,2014. - x, pages 627-939) :ill., digital ;24 cm.

The three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in the first two or three years of study. Containing hundreds of exercises, examples and applications, these books will become an invaluable resource for both students and instructors. Volume 1 focuses on the analysis of real-valued functions of a real variable. Volume 2 goes on to consider metric and topological spaces. This third volume develops the classical theory of functions of a complex variable. It carefully establishes the properties of the complex plane, including a proof of the Jordan curve theorem. Lebesgue measure is introduced, and is used as a model for other measure spaces, where the theory of integration is developed. The Radon-Nikodym theorem is proved, and the differentiation of measures discussed.

ISBN: 9781139424516$q(electronic bk.)Subjects--Topical Terms:

186133
Mathematical analysis.

LC Class. No.: QA300 / .G276 2014

Dewey Class. No.: 515

A course in mathematical analysis.Volume III,Complex analysis, measure and integration
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520 $a The three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in the first two or three years of study. Containing hundreds of exercises, examples and applications, these books will become an invaluable resource for both students and instructors. Volume 1 focuses on the analysis of real-valued functions of a real variable. Volume 2 goes on to consider metric and topological spaces. This third volume develops the classical theory of functions of a complex variable. It carefully establishes the properties of the complex plane, including a proof of the Jordan curve theorem. Lebesgue measure is introduced, and is used as a model for other measure spaces, where the theory of integration is developed. The Radon-Nikodym theorem is proved, and the differentiation of measures discussed.
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