渴望不可能
Yearning for the impossible
John C. Stillwell · 初版 2006 年
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“本书从常识与‘不可能’之间的创造性张力视角探讨了数学的历史，作者跟随着标志着数学进步的新概念的发现或发明展开叙述：- 无理数与虚数（Irrational and Imaginary Numbers） - 四维空间（The Fourth Dimension） - 弯曲空间（Curved Space） - 无穷（Infinity）等。作者将这些创造置于更广阔的背景中，联系了艺术、文学、哲学和物理学中相关的‘不可能’。通过将数学融入更宽广的文化语境，并凭借其对数学思想巧妙而热情的阐释……
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……感兴趣，然后再去找一个著名的问题。我最喜欢的书有：*《Euler: Master of us all》* 欧几里得的《几何原本》* Hardy 和 Wright 的《Introduction to a Theory of Numbers》* Jonathan Stillwell 的《Yearning for the Impossible》* Ash 和 Gross 的《Fearless Symmetry》* Jean-Pierre Tignol 的《Galois' Theory of Algebraic Equations》* Edwards 的《Fermat's Last Theorem/Galois Theory》。我坚持这么做已经快三年了，真的……
…interested in and then finding a famous problem. My favorite books are: * Euler: Master of us all * Euclid's Elements * Hardy and Wright: Introduction to a Theory of Numbers * Jonathan Stillwell: Yearning for the Impossible * Ash and Gross: Fearless Symmetry * Jean-Pierre Tignol: Galois' Theory of Algebraic Equations * Edwards: Fermat's Last Theorem/Galois Theory I've been doing it now for almost three years and it's…
……这里有几本科普书：George Gamow 的《One Two Three . . . Infinity: Facts and Speculations of Science》、Rudy Rucker 的《Infinity and the Mind: The Science and Philosophy of the Infinite》、John Stillwell 的《Yearning for the Impossible: The Surprising Truths of Mathematics》、John Stillwell 的《Roads to Infinity》。如果你想要真正的教材，那不妨读读像 Halmos 写的《Naive set theory》这类的集合论教材。
…are a few popular science books: One Two Three . . . Infinity: Facts and Speculations of Science by George Gamow Infinity and the Mind: The Science and Philosophy of the Infinite by Rudy Rucker Yearning for the Impossible: The Surprising Truths of Mathematics by John Stillwell Roads to Infinity by John Stillwell If you want actual textbooks then maybe pick up a set theory textbook like "Naive set theory" by Halmos.