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。
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.
我在看,基本能看懂,可是后面的习题做出来后答案不知该从何处求证。 不知道原书有没有官方答案?有这方面材料的请通知我:thinkerno2@gmail.com。谢谢
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。
评分随着科学技术的数学化,以及定量化方法和计算机的普及,有史以来,数学从来没有像现在这样受到社会各行各业人员的广泛关注。数学正影响着整个人类思考问题的方式。越来越多的人都渴望了解“什么是数学”的问题。 R·柯朗(1888—1972)等人的数学普及的经典名...
评分这本书大概是我不可能看完的一本书了,所以还是现在写书评吧。 我是经济学的本硕,数学相当一般,考研的时候曾经温习过,后来就求求最值、用用最小二乘法、T分布、正态分布数值特征什么的了。其他的很少用,也很少涉及。 重新温习是因为看衍生品定价的时候,确实感觉非常困难...
评分传道书。 ——一个多么神圣的称呼啊。 其实本来是想叫枕边书的,可是这三个字看着太暧昧了,怕人以为少儿不宜呀,所以只好忍痛割爱了。 好在传道书这三个字也是蛮传神的,这样的一本书,配得上。 话说很多人小时候都被一种叫“奥数”的东西摧残过,很不幸,我也没能幸免,被老...
结束不务正业~
评分众里寻它千百度,蓦然回首,那书却在书架角落处。
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good read, and a good waste of time to read as well
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。
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