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数学分析（第二卷）

D. J. H. Garling, A Course in Mathematical Analysis  Volume 2 ： Metric and Topological Spaces, Functions of a Vector Variable
English | ISBN: 1107032032, 1107675324 | 2014 | PDF | 336 pages | 3 MB

【教材简介】
一共三卷，这是第二卷；第三卷尚在努力搜集中....
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 I 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 III covers complex analysis and the theory of measure and integration.
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