…文笔。说真的，他能把实数系统的公理化构造写得像小说一样引人入胜；随便翻开 https://web.archive.org/web/20190813160507/https://www.dpmms... 的任何一页你就会明白。Aigner 和 Ziegler 写的《Proofs from THE BOOK》汇集了相对初等（即：本科生看得懂）数学中最漂亮的一部分证明。不过可能还是有点太深了（文字很干练，很多…
…writing. Seriously, he can make the axiomatic construction of the real number system read like a novel; open https://web.archive.org/web/20190813160507/https://www.dpmms... on any page and you will see. Proofs from the BOOK by Aigner and Ziegler is a cross-section of some of the nicest proofs in reasonably elementary (read: undergrad-comprehensible) maths. Might be a bit too advanced, though (the writing is terse and a lot…
另见 Martin Aigner 和 Günter M. Ziegler 写的《Proofs from the Book》，由 Karl H. Hofmann 绘制插图。http://www.amazon.co.uk/Proofs-THE-BOOK-Martin-Aigner/dp/3642008550 里面塞满了简短优美的证明。每个小节的开头…
See also "Proofs from the Book" by Martin Aigner & Günter M. Ziegler, illustrated by Karl H. Hofmann. http://www.amazon.co.uk/Proofs-THE-BOOK-Martin-Aigner/dp/3642008550 Stuffed with beautiful short proofs. Each section starts…
…推荐过了：- Carl B. Boyer 的《A History of Mathematics》- William Dunham 的《Journey Through Genius》- Philip J. Davi 和 Reuben Hersh 的《The Mathematical Experience》- Martin Aigner 和 Günter M. Ziegler 的《Proofs from the Book》- Imre Lakatos 的《Proofs and Refutations》- Robert M. Young 的《Excursions in Calculus: An Interplay of the Continuous and the Discrete》- Courant 与 Robbins 的《What is Mathematics?》- George Pólya 的《How to Solve…
…recommendation already: - Carl B. Boyer - A History of Mathematics - William Dunham - Journey Through Genius - Philip J. Davi & Reuben Hersh - The Mathematical Experience - Martin Aigner & Günter M. Ziegler - Proofs from the Book - Imre Lakatos - Proofs and Refutations - Robert M. Young - Excursions in Calculus: An Interplay of the Continuous and the Discrete - Courant & Robbins - What is Mathematics? - George Pólya - How to Solve…
《Proofs from the Book》看起来棒极了，但有人知道其他适合年轻数学爱好者的证明入门书或简单证明合集吗？
Proofs from the Book looks superb but does anyone know of another introduction to proofs or compendium of simple proofs suitable for young mathematicians?
我觉得这不完全正确。里面可能没有大量的“无字证明”，但《Proofs from the Book》这本书确实是一个极佳范例，它汇集了初等命题的各种优雅证明，其说服力远胜于纯粹的逻辑推导。当然，你不会在这…
I don't think this is completely true. There may not be tons of "proofs without words" in it, but the book Proofs from the Book is a great example of a nice collection of elegant proofs of elementary propositions that convince at a level that's much more effective than a pure, logical demonstration. Sure, you won't find these…
这本神书《Proofs from THE BOOK》（http://www.amazon.com/Proofs-BOOK-Martin-Aigner/dp/36420085...）在探讨诸多有趣的数学问题中提到了美术馆问题，并展现了数学…的玩味精神。
The wonderful book, Proofs from THE BOOK, http://www.amazon.com/Proofs-BOOK-Martin-Aigner/dp/364200855... discusses the art gallery problem, among many interesting mathematical problems, and then exemplifies the playful spirit of mathematical…
…文笔。说真的，他能把实数系统的公理化构造写得像小说一样引人入胜；随便翻开 https://web.archive.org/web/20190813160507/https://www.dpmms... 的任何一页你就会明白。Aigner 和 Ziegler 写的《Proofs from THE BOOK》汇集了相对初等（即：本科生看得懂）数学中最漂亮的一部分证明。不过可能还是有点太深了（文字很干练，很多…
…writing. Seriously, he can make the axiomatic construction of the real number system read like a novel; open https://web.archive.org/web/20190813160507/https://www.dpmms... on any page and you will see. Proofs from the BOOK by Aigner and Ziegler is a cross-section of some of the nicest proofs in reasonably elementary (read: undergrad-comprehensible) maths. Might be a bit too advanced, though (the writing is terse and a lot…
另见 Martin Aigner 和 Günter M. Ziegler 写的《Proofs from the Book》，由 Karl H. Hofmann 绘制插图。http://www.amazon.co.uk/Proofs-THE-BOOK-Martin-Aigner/dp/3642008550 里面塞满了简短优美的证明。每个小节的开头…
See also "Proofs from the Book" by Martin Aigner & Günter M. Ziegler, illustrated by Karl H. Hofmann. http://www.amazon.co.uk/Proofs-THE-BOOK-Martin-Aigner/dp/3642008550 Stuffed with beautiful short proofs. Each section starts…
…推荐过了：- Carl B. Boyer 的《A History of Mathematics》- William Dunham 的《Journey Through Genius》- Philip J. Davi 和 Reuben Hersh 的《The Mathematical Experience》- Martin Aigner 和 Günter M. Ziegler 的《Proofs from the Book》- Imre Lakatos 的《Proofs and Refutations》- Robert M. Young 的《Excursions in Calculus: An Interplay of the Continuous and the Discrete》- Courant 与 Robbins 的《What is Mathematics?》- George Pólya 的《How to Solve…
…recommendation already: - Carl B. Boyer - A History of Mathematics - William Dunham - Journey Through Genius - Philip J. Davi & Reuben Hersh - The Mathematical Experience - Martin Aigner & Günter M. Ziegler - Proofs from the Book - Imre Lakatos - Proofs and Refutations - Robert M. Young - Excursions in Calculus: An Interplay of the Continuous and the Discrete - Courant & Robbins - What is Mathematics? - George Pólya - How to Solve…
《Proofs from the Book》看起来棒极了，但有人知道其他适合年轻数学爱好者的证明入门书或简单证明合集吗？
Proofs from the Book looks superb but does anyone know of another introduction to proofs or compendium of simple proofs suitable for young mathematicians?
我觉得这不完全正确。里面可能没有大量的“无字证明”，但《Proofs from the Book》这本书确实是一个极佳范例，它汇集了初等命题的各种优雅证明，其说服力远胜于纯粹的逻辑推导。当然，你不会在这…
I don't think this is completely true. There may not be tons of "proofs without words" in it, but the book Proofs from the Book is a great example of a nice collection of elegant proofs of elementary propositions that convince at a level that's much more effective than a pure, logical demonstration. Sure, you won't find these…
这本神书《Proofs from THE BOOK》（http://www.amazon.com/Proofs-BOOK-Martin-Aigner/dp/36420085...）在探讨诸多有趣的数学问题中提到了美术馆问题，并展现了数学…的玩味精神。
The wonderful book, Proofs from THE BOOK, http://www.amazon.com/Proofs-BOOK-Martin-Aigner/dp/364200855... discusses the art gallery problem, among many interesting mathematical problems, and then exemplifies the playful spirit of mathematical…