书籍介绍
Through revealing photographs and accompanying text, this book offers an enchanting and beautiful glimpse into the inner life of the Institut des Hautes Etudes Scientifiques (IHES). The IHES in France is an institute of advanced research in mathematics and theoretical physics with an interest in epistemology and the history of science. It provides exceptionally gifted scientists with a place where they can devote themselves entirely to their research, free of teaching and administrative constraints, and offers them the opportunity to invite visitors with whom they wish to work.
精彩摘录
- "如果你不能在脑海中重复整个论证过程，那么它就没有成为你的一部分。 … 仅仅了解是不够的。我们需要充分理解以至于它成为我们“血肉”的一部分，然后我们才有机会创造出属于我们自己的东西。"
- "为了理解某些事情，不要立刻去尝试确认这是否写在某本书里。不要！这样做只会延迟独立性的觉醒。需要做的事情，是在他的头脑当中验证这是否是真的。"
- "世界上的第一个秘密，就是物理定律的本质。人们相信，宇宙结构从一个唯一的点开始辐射，这是籍由我们所能够想象出来的最高度的对称性识别出来的。宇宙将它自己解释给人类观察者，使其能够看到这种对称性逐渐减弱并且消散。 第二个秘密是生命。自然物质的耗散结构对称性逐渐发展成为另外一种结构，在一片所有可能结果的汪洋大海当中凝缩成为结构的岛屿。 第三个秘密是大脑的作用。在这里，一个偶然发展出来的表面上看起来模糊不清的大有机物质，却能够沿着实际上规定好的路径，从可能存在的巨大空间当中选择出一个特有的答案。唯一能够以人的大脑能理解的形式来表达这三个结构中任何一个的方法，就是构建数学模型。 我们在当今的数学当中所能够"
- "数学家经常不屑于考虑他的来自于不同研究领域的同事——这个家伙，在他那个毫无意义的课题上能够发现什么样的反常乐趣呢？ … 我的理论是，人们经常把自己的人性弱点表现在他们的教学活动当中。有一些明显的表面例子：对某些事物的分类就是一个收集者的本能体现，而寻求最大值则是另外一种形式的贪婪，问题的可计算性或者可解决性来自于完全进行控制的欲望。"
- "我们无法通过学习成为数学家，而是通过做数学才能成为数学家。 我们可以说，数学家的工作当中有两个方面，一方面在于证明、验证，等等，它要求全神贯注，要求高度的理性主义；然后幸运的是，还有另一个方面，眼光！眼光这个东西，有点像是受到直感驱使而得到的，它并不服从某些确定性，却更像是一种诗歌性质的有趣的东西。"
- "Dreams In the broad light of day mathematicians check their equations and their proofs, leaving no stone unturned in their search for rigour. But, at night, under the full moon, they dream, they float among the stars and wonder at the miracle of the Heavens. They are inspired. Without dreams there i"
- "So for me, one starts to become a mathematician more or less through an act of rebellion. In what sense? In the sense that the future mathematician will start to think about a certain problem, and he will notice that, in fact, what he has read in the literature, what he has read in books, doesn't co"
- "On Alexander Grothendieck Contrary to what I sometimes hear said, his aim was not maximal generality. The ideal was that theorems should be well understood, that the structure of their proof should consist of definitions, carefully chosen so that each geometric idea should shed its light afar. A key"
目录
Contents
Prologue / vii
Michael Atiyah - Dreams / 1
Interval / 2
Alain Connes - Pitiless Reality / 3
显示全部
用户评论
超喜欢里面的黑白图片，不同数学家对数学的不同感悟，因为图片给三星。
"In a world of structures and truths, creating the seeds but proving the flowers, and vaguely hoping that their scent will save the world." "A rigorous, correct statement is true independent of the circumstances (it may depend on which structure one refers to), so it is always a tautology."
当作摄影集看的。
beautiful
收藏