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A course in mathematical analysis.. Volume 3,. Complex analysis, measure and integration /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	A course in mathematical analysis./ D. J. H. Garling.
Author:	Garling, D. J. H.,
Description:	1 online resource (x, pages 627-939) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Mathematical analysis. -
Online resource:	https://doi.org/10.1017/CBO9781139424516
ISBN:	9781139424516 (ebook)

A course in mathematical analysis.. Volume 3,. Complex analysis, measure and integration /
Garling, D. J. H.,

A course in mathematical analysis.Volume 3,Complex analysis, measure and integration /D. J. H. Garling. - 1 online resource (x, pages 627-939) :digital, PDF file(s).

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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 (ebook)Subjects--Topical Terms:

527926
Mathematical analysis.

LC Class. No.: QA300 / .G276 2014

Dewey Class. No.: 515

A course in mathematical analysis.. Volume 3,. 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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