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Course in Mathematical Analysis

Name: Course in Mathematical Analysis
Brand: Cambridge University Press
SKU: 02050878
Price: 68411 HUF
Availability: InStock
Author: D. J. H. Garling
ISBN: 9781107032040

D. J. H. Garling

Language

English

Book Hardback

Libristo code: 02050878

Publishers Cambridge University Press, May 2014

The three volumes of A Course in Mathematical Analysis provide a full and detailed account of all th... Full description

Libristo code: 02050878

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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.