Analysis I pdf epub mobi txt 电子书下载 2025

☆☆☆☆☆
简体网页||繁体网页

Terence Tao

Springer

2016-7

350

$59.99

Paperback

9789811017889

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

喜欢 Analysis I 的读者还喜欢

下载链接在页面底部

点击这里下载

facebook linkedin mastodon messenger pinterest reddit telegram twitter viber vkontakte whatsapp 复制链接

想要找书就要到小哈图书下载中心

qciss.net

立刻按 ctrl+D收藏本页

你会得到大惊喜!!

发表于2025-01-27

Analysis I epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2025

Analysis I pdf epub mobi txt 电子书下载 2025

图书描述

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.

Analysis I 下载 mobi epub pdf txt 电子书

著者简介

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 ."

图书目录

Analysis I pdf epub mobi txt 电子书下载

想要找书就要到小哈图书下载中心

qciss.net

立刻按 ctrl+D收藏本页

你会得到大惊喜!!

用户评价

评分☆☆☆☆☆

内容基础了点。

评分☆☆☆☆☆

Excellent exposition and very rigorous approach. 用这本书辅助实分析课程很有用，很多概念都说得很清楚。

评分☆☆☆☆☆

工科生一枚，觉得学的高等数学不爽，并且受不了中文版的“陶哲轩实分析”翻译。欣赏作者一步步构建分析的大厦。第三版终于可以在springer下载了，爽歪歪

评分☆☆☆☆☆

看了前五章和附录，可能是这本书最有特色的地方，因为这种书真的很少有从头做起来构建自然数、整数、有理数和实数的。跟着陶哲轩就像真的一步一步把曾经那些习以为常的结论重新建构出来，不过也很累，要不断挑战自己的直觉。实数构建完了似乎可以暂时放下，估计微积分那一套弄起来和别人是差不多的，可以去看看别的书了。

评分☆☆☆☆☆

读后感

评分☆☆☆☆☆

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...

评分☆☆☆☆☆

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...

评分☆☆☆☆☆

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...

评分☆☆☆☆☆

【转自我自己的知乎答案： [https://www.zhihu.com/question/33001251/answer/73486102] 】因为这是一本同时结合了：极高的现代数学观点，但—— 极基础的数学手段依照最朴实而严谨的逻辑处理整个分析学体系的神书。这是数学教科书写作的良心！其实，这样令人动容的场面...

评分☆☆☆☆☆

类似图书点击查看全场最低价

Analysis I pdf epub mobi txt 电子书下载 2025