A Course In Mathematical Analysis
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A Course in Mathematical Analysis 3 Volume Set
Three volumes providing a full and detailed account of undergraduate mathematical analysis.
A Second Course in Mathematical Analysis
Author: J. C. Burkill
language: en
Publisher: Cambridge University Press
Release Date: 2002-10-24
A classic calculus text reissued in the Cambridge Mathematical Library. Clear and logical, with many examples.
A Course in Mathematical Analysis: Volume 2, Metric and Topological Spaces, Functions of a Vector Variable
Author: D. J. H. Garling
language: en
Publisher: Cambridge University Press
Release Date: 2014-01-23
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.