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Download torrent A Course in Mathematical Analysis: Volume 2, Metric and Topological Spaces, Functions of a Vector Variable
Download torrent A Course in Mathematical Analysis: Volume 2, Metric and Topological Spaces, Functions of a Vector Variable

A Course in Mathematical Analysis: Volume 2, Metric and Topological Spaces, Functions of a Vector Variable.cD. J. H. Garling
A Course in Mathematical Analysis: Volume 2, Metric and Topological Spaces, Functions of a Vector Variable
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Author: D. J. H. Garling
Page Count: 336 pages
Published Date: 31 Mar 2014
Publisher: CAMBRIDGE UNIVERSITY PRESS
Publication Country: Cambridge, United Kingdom
Language: English
ISBN: 9781107675322
File size: 38 Mb
Download Link: A Course in Mathematical Analysis Volume 2, Metric and Topological Spaces, Functions of a Vector Variable
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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 their 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 teachers. Volume 1 focuses on the analysis of real-valued functions of a real variable. This second volume goes on to consider metric and topological spaces. Topics such as completeness, compactness and connectedness are developed, with emphasis on their applications to analysis. This leads to the theory of functions of several variables. Differential manifolds in Euclidean space are introduced in a final chapter, which includes an account of Lagrange multipliers and a detailed proof of the divergence theorem. Volume 3 covers complex analysis and the theory of measure and integration.

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