A Course in Mathematical Analysis 3 Volume Set - Hardcover

Garling, D. J. H.

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9781107625341: A Course in Mathematical Analysis 3 Volume Set

Hardcover

ISBN 10: 1107625343 ISBN 13: 9781107625341

Publisher: Cambridge University Press, 2016

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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. Besides developing the basic theory it describes many applications, including a chapter on Fourier series. Volume 2 goes on to consider metric and topological spaces. Topics such as completeness, compactness and connectedness are developed, with emphasis on their applications to analysis. Volume 3 covers complex analysis and the theory of measure and integration.

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Book Description:

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.

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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