大牛巨献

数学分析（第一卷）

每位经济学学生若想走得更远，必须蹂躏数学分析无数遍或者被它蹂躏无数遍....

D. J. H. Garling, A Course in Mathematical Analysis (Volume 1)：Foundations and Elementary Real Analysis
English | ISBN: 1107032032, 1107675324 | 2013 | PDF | 300 pages | 3 MB
【作者简介】Garling为剑桥大学荣退副教授（reader），按照通常的理解，此君算不上大牛，但他是写书高手，畅销书《不等式》就是他写的。当然，他于2013年推出的数学分析（三卷本）也受到广泛好评。

【教材简介】
一共三卷本，这是第一卷。
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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D. J. H. Garling, A Course in Mathematical Analysis,Volume 1.pdf
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第二卷在此
https://bbs.pinggu.org/thread-2926644-1-1.html