图书标签: 数学 Mathematics 科普 思维 英文原版 Math 方法论 英文
发表于2025-05-05
What Is Mathematics? pdf epub mobi txt 电子书 下载 2025
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.
R·柯朗(Richard Courant)是20世纪杰出的数学家,哥廷根学派重要成员。他生前是纽约大学数学系和数学科学研究院的主任,该研究院后被重命名为柯朗数学科学研究院。他写的书《数学物理方程》为每一个物理学家所熟知;而他的《微积分学》已被认为是近代写得最好的该学科的代表作。
H·罗宾(Herbert Robbins)是新泽西拉特杰斯大学的数理统计教授。
I·斯图尔特(Ian Stewart)是沃里克大学的数学教授,并且是《自然界中的数和上帝玩色子游戏吗》一书的作者;他还在《科学美国人》杂志上主编《数学娱乐》专栏;他因使科学为大众理解的杰出贡献而在1995年获得了皇家协会的米凯勒法拉第奖章。
上周末跟典哥讨论过这个问题:关于理工科学生的科学素养和西方自然科学发展史。各种感慨。这类经典书籍值得好好去读一读。
评分从数论,到射影几何、非欧几何,到拓扑学的心里路程依次是:“啊这个竞赛学过,好怀念”,“数学好有趣,好厉害,教练我要学数学!”,“等等,这是什么鬼,为什么我什么都看不懂”,“呵呵,我觉得我还是比较适合上文科”。。
评分上周末跟典哥讨论过这个问题:关于理工科学生的科学素养和西方自然科学发展史。各种感慨。这类经典书籍值得好好去读一读。
评分4.5 读起来特别流畅,大概是因为每章篇幅都挺短的吧。算是个light reading.(两年前的我第一章没看完就放弃了…)但是看评论感觉还是过誉了,导致我抱着三观被刷新的心态去读。尽管如此,还是有个别部分特别精彩。(一刷,跳了第四五章。)
评分从澳洲回来的飞机上无聊看这本书,朋友都震惊了== 数学是个小贱人,相信大家都有被这个bitch虐出翔的血泪史,这本书呢,就是告诉大家——数学是个——啊,还是个小贱人,但是,是个美丽的小贱人噢!
《什么是数学》算是经典数学读物了,最近看了一下,真的是不错,写的很好,翻译的也不错。内容上由浅入深的介绍数学问题和解法,有些东西还真是我以前从来没有看过的,比如我们小时候就知道如何判断一个整数能否被3整除,但很少想为什么这个准则奏效,这本书里面用同余的方法证...
评分《什么是数学》算是经典数学读物了,最近看了一下,真的是不错,写的很好,翻译的也不错。内容上由浅入深的介绍数学问题和解法,有些东西还真是我以前从来没有看过的,比如我们小时候就知道如何判断一个整数能否被3整除,但很少想为什么这个准则奏效,这本书里面用同余的方法证...
评分http://books.google.com/books?id=_kYBqLc5QoQC&printsec=frontcover&dq=What+is+Mathematics&ei=8ZtTSL7bHp_otQODrsTNCw&sig=k7DQzxSHVRMP02ZCYTU-NrhuB8E 大家试试。
评分特别有爱 特别立志 非专业观点! 主旨是攒德行~ 专业中类似科普的著作,我就当高精尖,带回来报答从小到大的数学老师们了~
评分http://books.google.com/books?id=_kYBqLc5QoQC&printsec=frontcover&dq=What+is+Mathematics&ei=8ZtTSL7bHp_otQODrsTNCw&sig=k7DQzxSHVRMP02ZCYTU-NrhuB8E 大家试试。
What Is Mathematics? pdf epub mobi txt 电子书 下载 2025