What Is Mathematics? 在線電子書 圖書標籤: 數學 Mathematics 科普 思維 英文原版 Math 方法論 英文
發表於2024-06-01
What Is Mathematics? 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024
從澳洲迴來的飛機上無聊看這本書,朋友都震驚瞭== 數學是個小賤人,相信大傢都有被這個bitch虐齣翔的血淚史,這本書呢,就是告訴大傢——數學是個——啊,還是個小賤人,但是,是個美麗的小賤人噢!
評分good read, and a good waste of time to read as well
評分對數學基本概念和方法的闡述真的是 crystal clear,選材不能更棒!忽然又來瞭再去打打看分析論的興緻!
評分我實話實說我沒讀完,我智商不夠
評分我愛學數學!!!
R·柯朗(Richard Courant)是20世紀傑齣的數學傢,哥廷根學派重要成員。他生前是紐約大學數學係和數學科學研究院的主任,該研究院後被重命名為柯朗數學科學研究院。他寫的書《數學物理方程》為每一個物理學傢所熟知;而他的《微積分學》已被認為是近代寫得最好的該學科的代錶作。
H·羅賓(Herbert Robbins)是新澤西拉特傑斯大學的數理統計教授。
I·斯圖爾特(Ian Stewart)是沃裏剋大學的數學教授,並且是《自然界中的數和上帝玩色子遊戲嗎》一書的作者;他還在《科學美國人》雜誌上主編《數學娛樂》專欄;他因使科學為大眾理解的傑齣貢獻而在1995年獲得瞭皇傢協會的米凱勒法拉第奬章。
For more than two thousand years a familiarity with mathematics has been regarded as an indispensable part of the intellectual equipment of every cultured person. Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its goal is to put the meaning back into mathematics. Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics?, Second Edition is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Covering everything from natural numbers and the number system to geometrical constructions and projective geometry, from topology and calculus to matters of principle and the Continuum Hypothesis, this fascinating survey allows readers to delve into mathematics as an organic whole rather than an empty drill in problem solving. With chapters largely independent of one another and sections that lead upward from basic to more advanced discussions, readers can easily pick and choose areas of particular interest without impairing their understanding of subsequent parts. Brought up to date with a new chapter by Ian Stewart, What is Mathematics?, Second Edition offers new insights into recent mathematical developments and describes proofs of the Four-Color Theorem and Fermat's Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved. Formal mathematics is like spelling and grammar--a matter of the correct application of local rules. Meaningful mathematics is like journalism--it tells an interesting story. But unlike some journalism, the story has to be true. The best mathematics is like literature--it brings a story to life before your eyes and involves you in it, intellectually and emotionally. What is Mathematics is like a fine piece of literature--it opens a window onto the world of mathematics for anyone interested to view.
中国的数学教材写得差的缘由是那些学者和教授并没有真的理解他所写的东西,一句话,他们理解的不透彻,所以写不出这样的书,这不是卖弄写书技巧这种小聪明的问题。 我在看前面的部分时就发觉这书好,及至看到原书第40页关于哥德巴赫猜想的叙述时作者一针见血直达本质的话一下子...
評分昨晚看了一个小时,从11页看到12页,没看懂,睡觉了。梦里出现的全是数目字,早晨睁开眼忽然想通了。。。 这就是一个数盲的数学之旅~~~ 坐在那吭哧吭哧地排12进制乘法表,忍不住在心里高呼:啊,相比起懂得数学的人,我看到的世界是多么狭窄和死板啊!!! 希望能一直把...
評分关于评价,我选了“推荐”。我说我是来提供事实和灵感的。这本书上有一页是介绍数学归纳法的,如果你学过高中数学,就知道这方法在求通项公式时非常好用。但前提是你的数学归纳法的格式必须符合要求。在这本书中呢,关于数学归纳法,这位哥廷根人讲了一大堆纯学术意义上的关于...
評分数学教学有时竟演变成空洞的解题训练,这种训练虽然可以提高形式推导的能力,但却不能导致真正的理解与深入的独立思考。 我20年来所受的的教育,别人70年前就知道错了。
評分拣着看完全书,收获很大。尤其在那些已经非常熟悉的领域,例如微积分方面,作者从一种非常直观且逻辑严密的角度,解释了那些看似抽象的定义、定理的内在涵义。 至于翻译,只能说一般般了。本来数学语言就有固定的模式,翻译也不至差到哪里去。 最后,提点小小建议。希望在书...
What Is Mathematics? 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024