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.
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...
书中前五章基本一字不漏地看完,到第六章我则没办法看下去,因为柯朗为了照顾没有数学基础的人用不严谨的方法描述这些定义,对我来说比较难接受,所以我去转看Tom.Apos...
去年看的，里面基本上吧数学的相关内容都包含了，不过大部分都是简单介绍，没有真正的专业数学书上深刻。现在已经有了和《什么是数学》同名的网站，是关于数学题目交流...
找遍了中国书网，只有影印版的。谁有这本书的原版啊？请卖个给我拉，高价也好，非常感谢。。。我的msn：belong_maggie@hotmail.com