Paperback. 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 RadonNikodym theorem is proved, and the differentiation of measures discussed. This is the third of three volumes that provide a full and detailed account of all those elements of real and complex analysis an undergraduate mathematics student can expect to encounter in the first two or three years of study. Numerous exercises, examples and applications are included. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

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Bibliographic Details

Title: A Course in Mathematical Analysis: Volume 3, Complex Analysis, Measure and Integration (Paperback)
Publisher: Cambridge University Press, Cambridge
Publication Date: 2014
Language: English
ISBN 10: 110766330X
ISBN 13: 9781107663305
Binding: Paperback
Condition: new

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The third volume of three providing a full and detailed account of undergraduate mathematical analysis.

About the Author

D. J. H. Garling is Emeritus Reader in Mathematical Analysis at the University of Cambridge and Fellow of St John's College, Cambridge. He has fifty years' experience of teaching undergraduate students in most areas of pure mathematics, but particularly in analysis.

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