……让数学背景极少的人从纯数学的基础入门。在这个过程中慢慢就习惯证明了。https://infinitedescent.xyz/ 最近我也很喜欢 Philip Ording 写的《99 Variations on a Proof》，这不是一本教材。它倒更像是一本《风格练习》（Exercises in Style）类型的书，探讨了用多种不同方式来表达对同一个简单事实的数学证明。其中有些证明……
…get someone with minimal math background started with the basics of pure math. Becoming comfortable with proofs happens along the way. https://infinitedescent.xyz/ Lately, I have also really enjoyed 99 Variations on a Proof by Philip Ording, which is not a textbook. Rather it is an Exercises in Style type book that explores many different ways to express a mathematical proof of the same simple fact. Some of the proofs are…
……去向那些一听我学数学就直犯怵的家人朋友解释。如果你对这篇文章有共鸣（或者哪怕没有），我都强烈推荐看看 Philip Ording 写的《99 Variations on a Proof》这本书。它通过展示数学论证可以采取的多种形式，带来了一段有趣又好懂的数学论证艺术之旅。https://www.amazon.com/99-Variations-Proof-Philip-Ording/dp/...
…to explain to family and friends who practically flinch when I tell them I studied math. If you connected with this essay (or, perhaps, if you did not), I highly recommend checking out a book called 99 Variations on a Proof, by Philip Ording. It is an enjoyable, easy to understand journey through the art of making a mathematical argument by way of showing the many forms such an argument can take. https://www.amazon.com/99-Variations-Proof-Philip-Ording/dp/...
之前没看过《The Cauchy-Schwartz Masterclass》，但大概扫了一眼之后，感觉它跟《99 Variations on a Proof》很不一样。我推荐的这本书根本不像教材。反倒更像一本《风格练习》（Exercises in Style）式的书，探讨了对同一个简单事实进行数学证明的各种不同表达方式。有些……
Hadn't seen The Cauchy-Schwartz Masterclass, but after a quick glance around, it seems to be very different from 99 Variations on a Proof. The book I'm recommending is pretty far from a textbook. Rather it is an Exercises in Style type book that explores many different ways to express a mathematical proof of the same simple fact. Some…
我正同时读两样东西：《99 Variations on a Proof》https://press.princeton.edu/books/hardcover/9780691158839/99... 以及刚发表的论文《Draft, Sketch, and Prove: Guiding Formal Theorem Provers With Informal Proofs》https://arxiv.org/pdf/2210.12283.pdf……
I'm reading two things at the same time 99 Variations on a Proof https://press.princeton.edu/books/hardcover/9780691158839/99... and the newly published paper Draft, Sketch, and Prove: Guiding Formal Theorem Provers With Informal Proofs https://arxiv.org/pdf/2210.12283.pdf…
……让数学背景极少的人从纯数学的基础入门。在这个过程中慢慢就习惯证明了。https://infinitedescent.xyz/ 最近我也很喜欢 Philip Ording 写的《99 Variations on a Proof》，这不是一本教材。它倒更像是一本《风格练习》（Exercises in Style）类型的书，探讨了用多种不同方式来表达对同一个简单事实的数学证明。其中有些证明……
…get someone with minimal math background started with the basics of pure math. Becoming comfortable with proofs happens along the way. https://infinitedescent.xyz/ Lately, I have also really enjoyed 99 Variations on a Proof by Philip Ording, which is not a textbook. Rather it is an Exercises in Style type book that explores many different ways to express a mathematical proof of the same simple fact. Some of the proofs are…
……去向那些一听我学数学就直犯怵的家人朋友解释。如果你对这篇文章有共鸣（或者哪怕没有），我都强烈推荐看看 Philip Ording 写的《99 Variations on a Proof》这本书。它通过展示数学论证可以采取的多种形式，带来了一段有趣又好懂的数学论证艺术之旅。https://www.amazon.com/99-Variations-Proof-Philip-Ording/dp/...
…to explain to family and friends who practically flinch when I tell them I studied math. If you connected with this essay (or, perhaps, if you did not), I highly recommend checking out a book called 99 Variations on a Proof, by Philip Ording. It is an enjoyable, easy to understand journey through the art of making a mathematical argument by way of showing the many forms such an argument can take. https://www.amazon.com/99-Variations-Proof-Philip-Ording/dp/...
> 99 Variations on a Proof 感谢推荐，目前为止我很喜欢。大概打算一天读一篇左右，然后琢磨琢磨。
> 99 Variations on a Proof Thank you, I really enjoyed this so far. Probably going to read one per day or so and then think about it.
之前没看过《The Cauchy-Schwartz Masterclass》，但大概扫了一眼之后，感觉它跟《99 Variations on a Proof》很不一样。我推荐的这本书根本不像教材。反倒更像一本《风格练习》（Exercises in Style）式的书，探讨了对同一个简单事实进行数学证明的各种不同表达方式。有些……
Hadn't seen The Cauchy-Schwartz Masterclass, but after a quick glance around, it seems to be very different from 99 Variations on a Proof. The book I'm recommending is pretty far from a textbook. Rather it is an Exercises in Style type book that explores many different ways to express a mathematical proof of the same simple fact. Some…
我正同时读两样东西：《99 Variations on a Proof》https://press.princeton.edu/books/hardcover/9780691158839/99... 以及刚发表的论文《Draft, Sketch, and Prove: Guiding Formal Theorem Provers With Informal Proofs》https://arxiv.org/pdf/2210.12283.pdf……
I'm reading two things at the same time 99 Variations on a Proof https://press.princeton.edu/books/hardcover/9780691158839/99... and the newly published paper Draft, Sketch, and Prove: Guiding Formal Theorem Provers With Informal Proofs https://arxiv.org/pdf/2210.12283.pdf…
https://en.wikipedia.org/wiki/99_Variations_on_a_Proof
https://en.wikipedia.org/wiki/99_Variations_on_a_Proof