A Course in Mathematical Analysis: Volume 3, Complex Analysis, Lebesgue Measure and the Lebesgue Int - D. J. H. Garling

A Course in Mathematical Analysis: Volume 3, Complex Analysis, Lebesgue Measure and the Lebesgue Int
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Autor: D. J. H. Garling

 Wydawnictwo: Cambridge University Press
ISBN: 9781107663305
EAN:
Format: ...
Oprawa: miękka
Stron: 320
Data wydania: 2014-01-01
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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.

Książka "A Course in Mathematical Analysis: Volume 3, Complex Analysis, Lebesgue Measure and the Lebesgue Int"
D. J. H. Garling