Analysis I pdf epub mobi txt 电子书下载 2025

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Terence "Terry" Chi-Shen Tao, FAA FRS, is an Australian mathematician. His areas of interests are in harmonic analysis, partial differential equations, algebraic combinatorics, arithmetic combinatorics, geometric combinatorics, compressed sensing and analytic number theory. As of 2015, he holds the James and Carol Collins chair in mathematics at the University of California, Los Angeles. Professor Tao is a co-recipient of the 2006 Fields Medal and the 2014 Breakthrough Prize in Mathematics. He maintains a personal mathematics blog, which has been described by Timothy Gowers as the undisputed king of all mathematics blogs ."

出版者:Springer

作者:Terence Tao

出品人:

页数:350

译者:

出版时间:2016-7

价格:$59.99

装帧:Paperback

isbn号码:9789811017889

丛书系列:

图书标签:

数学
陶哲轩
数学分析
实分析
springer出版，可以下载了
math
ebook
Math

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This is part one of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis. Beginning with the construction of the number systems and set theory, the book discusses the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and then finally the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. The book also has appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of 25-30 lectures each. The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory.

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前5章和2个附录其实完全适合一般公众或者对数学有兴趣的中学生。另外这本书其实是一本数学分析教材，本来大可不必给它加一个看上去更高级一点的新名字。

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该书第22页命题2.2.12（c）的内容是：若a≥b且 b≥a，则a=b. 同页命题2.2.13（自然数的序的三岐性）的论证中，有如下内容：若a＞b且a＜b则根据命题2.2.12必有a=b，这是矛盾的。笔者以为，命题2.2.12（c）之所以成立，是由于a≥b与 b≥a均含等号的缘故。具体理由是...

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首先向陶致敬！不仅仅出于对陶过人的能力，也出于他治学严谨并且从学生角度出发写书的良苦用心。但是对这本书，我想说明另一种观点。这是一本读起来相当令人愉快的书，我感受到的主要由以下三点： 1.文笔是面向学生的，对于种种数学处理都会不厌其烦地说明其思想，出发点等等...

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读这本书，第一就是要弥补一下只会算而证明弱逼的工科狗的属性；第二就是，某日查到小波分析需要研究生级别的实分析基础，遂想找一本实分析的书先入入门。无奈大一只学过高等数(ji)学(suan)，步子跨太大，摔死在了徐森林的《实变函数》上。上豆瓣查说这本书实际上是本数分...

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那么好的本子，自学起来是极其困难的，关键是没有习题答案，自己做了也不知道对错。如果有老师辅导，这是一本最好的分析教材。有一起来刷题的吗？本人小白，求高手指点。qq393379924,.....................................................................