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A course in mathematical analysis.. ...

Garling, D. J. H.

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

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	A course in mathematical analysis./ D. J. H. Garling.
其他題名:	Complex analysis, measure and integration
作者:	Garling, D. J. H.
出版者:	Cambridge :Cambridge University Press, : 2014.,
面頁冊數:	x, pages 627-939) :ill., digital ; : 24 cm.;
標題:	Mathematical analysis. -
電子資源:	https://doi.org/10.1017/CBO9781139424516
ISBN:	9781139424516

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: 9781139424516Subjects--Topical Terms:

527926
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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