圖書標籤: 數學 陶哲軒 數學分析 實分析 springer齣版,可以下載瞭 math ebook Math
发表于2024-09-26
Analysis I pdf epub mobi txt 電子書 下載 2024
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.
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 ."
Excellent exposition and very rigorous approach. 用這本書輔助實分析課程很有用,很多概念都說得很清楚。
評分內容基礎瞭點。
評分內容基礎瞭點。
評分陶的迷人不僅在其天纔,更在慈悲。
評分陶的迷人不僅在其天纔,更在慈悲。
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,.....................................................................
評分窃以为本书作为参考读物更合适,要按照本书内容讲授,需要学习者的自觉投入,更需要足够优秀的导师,部分基础性证明很是考验功底。
評分外甥在家刷题不陪我打游戏,感觉这小子学傻了,麻痹只能陪他刷。 看不到几页实在受不了那种一步一步的感觉,因个人思维问题和书的内容无关,可能是王老头做老师太久不该在翻书,无形中把严谨氛围带到书里。用来学习一般,用来温故才是良品。 编排上的问题导致少部分符号错误,...
評分这本书可以说是对我帮助最大的书,从我接触大学数学一来,我花的最多时间的书就是这本。另外百度贴吧“陶哲轩实分析吧”就是我建的,那里人不多,不过希望大家有空去逛逛,有啥问题问出来,大家互相交流。 言归正传,在我刚学数学分析半年的时候,我对实数的严格定义特别感兴趣...
Analysis I pdf epub mobi txt 電子書 下載 2024