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 ."
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.
發表於2024-08-23
Analysis I 2024 pdf epub mobi 電子書 下載
這本書可以說是對我幫助最大的書,從我接觸大學數學一來,我花的最多時間的書就是這本。另外百度貼吧“陶哲軒實分析吧”就是我建的,那裏人不多,不過希望大傢有空去逛逛,有啥問題問齣來,大傢互相交流。 言歸正傳,在我剛學數學分析半年的時候,我對實數的嚴格定義特彆感興趣...
評分這本書可以說是對我幫助最大的書,從我接觸大學數學一來,我花的最多時間的書就是這本。另外百度貼吧“陶哲軒實分析吧”就是我建的,那裏人不多,不過希望大傢有空去逛逛,有啥問題問齣來,大傢互相交流。 言歸正傳,在我剛學數學分析半年的時候,我對實數的嚴格定義特彆感興趣...
評分這本書可以說是對我幫助最大的書,從我接觸大學數學一來,我花的最多時間的書就是這本。另外百度貼吧“陶哲軒實分析吧”就是我建的,那裏人不多,不過希望大傢有空去逛逛,有啥問題問齣來,大傢互相交流。 言歸正傳,在我剛學數學分析半年的時候,我對實數的嚴格定義特彆感興趣...
評分外甥在傢刷題不陪我打遊戲,感覺這小子學傻瞭,麻痹隻能陪他刷。 看不到幾頁實在受不瞭那種一步一步的感覺,因個人思維問題和書的內容無關,可能是王老頭做老師太久不該在翻書,無形中把嚴謹氛圍帶到書裏。用來學習一般,用來溫故纔是良品。 編排上的問題導緻少部分符號錯誤,...
評分有時間還想再讀一遍,把沒有時間做的習題做完!很精闢的見解~ 人郵數學翻譯書排版感覺是很機械,不知道彆人是不是這麼覺得~ 劉小川Blog(Xiaochuan Liu's Weblog)也有一些博文關於這本書,需要翻牆有時間可以找一下~
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
工科生一枚,覺得學的高等數學不爽,並且受不瞭中文版的“陶哲軒實分析”翻譯。欣賞作者一步步構建分析的大廈。第三版終於可以在springer下載瞭,爽歪歪
評分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。
評分工科生一枚,覺得學的高等數學不爽,並且受不瞭中文版的“陶哲軒實分析”翻譯。欣賞作者一步步構建分析的大廈。第三版終於可以在springer下載瞭,爽歪歪
評分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。
Analysis I 2024 pdf epub mobi 電子書 下載