图解数论

Illustrated Theory of Numbers

Martin H. Weissman · 初版 2017 年

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An Illustrated Theory of Numbers全面介绍了数论,配有完整的证明、例题详解和习题。其阐述反映了数学及其历史领域的最新学术成果。

Hacker News 上怎么说

  • 如果你喜欢图解,还有两本很棒的书:Nathan Carter 的《Visual Group Theory》(可视化群论)和 Marty Weissman 的《Illustrated Theory of Numbers》(图解数论),只要是有自驱力的高中生应该都能看懂。http://web.bentley.edu/empl/c/ncarter/vgt/ http://illustratedtheoryofnumbers.com

    If you like pictures, another couple nice books are Nathan Carter’s Visual Group Theory and Marty Weissman’s Illustrated Theory of Numbers, both of which should be accessible to motivated high school students. http://web.bentley.edu/empl/c/ncarter/vgt/ http://illustratedtheoryofnumbers.com

  • 我太喜欢这种可视化数学了。我母校加州大学圣克鲁兹分校(UC Santa Cruz)有位教授写了本教材叫《Illustrated Theory of Numbers》,简直美极了。作者叫 Marty Weissman,有空一定要看看

    I love visual math like this so much. I had a professor at my alma mater, UC Santa Cruz, who made a textbook called “Illustrated Theory of Numbers”, and it’s just beautiful. Marty Weissman, check it out sometime

  • 太长不看版:“……我深信把欧几里得‘翻译’成现代代数符号在历史上是有破坏性的……在写《Illustrated Theory of Numbers》时,我力求尊重历史。……全书采用 Tufte 风格……”一定要去看看这本在写新书公开的跨页预览:真的太美了!

    tl;dr: ‘… I am convinced that “translating” Euclid into modern algebraic notation is historically destructive … In writing the Illustrated Theory of Numbers, I am trying to give respect to history. … In the style of Tufte …’ Do check out the published page spread previews of this book-in-progress: they’re beautiful!

  • 我和我 13 岁的孩子一起读完了《An Illustrated Theory of Numbers》前三章的部分内容。我觉得如果学生自驱力强、达到高中高年级水平,是完全有能力自己搞定的。而且这本书本身就美极了,有大量的习题和……

    My 13 year old and I have through parts of the first three chapters of "An Illustrated Theory of Numbers". I would reckon that if your student is motivated and at upper high school level, they would have the sophistication to go at it alone. It is just a beautiful book also, with lots of exercises and the…

  • 我最近把《数论图解》(Illustrated Theory of Numbers)作为礼物送给了一位朋友,它的插图确实极美。就其插图和讲解水平而言,我还推荐《素数与黎曼猜想》(Prime Numbers and the Riemann Hypothesis)[1]。[1] https://www.amazon.com/gp/product/1107499437

    I recently gifted Illustrated Theory of Numbers to a friend, and it is indeed beautifully illustrated. I would also recommend "Prime Numbers and the Riemann Hypothesis" for its illustrations and exposition [1]. [1] https://www.amazon.com/gp/product/1107499437

  • ……数学和科学。有一种可能对他们和学校都有吸引力的思路,就是把重点从加密货币(cryptocurrency)转向密码学(cryptography)。你可以 Google 一下“儿童密码学”,或者引导他们看《Illustrated Theory of Numbers》,第 2 章就讲了质因数分解。密码学是一切区块链和加密货币技术的基石,而且(我相信)未来只会越来越重要。(顺便说一句,还有些……

    …math and science. One approach which might be appealing to them and to the school is to change the focus from cryptocurrency to cryptography. You can google "cryptography for kids" or aim them at the "Illustrated Theory of Numbers" which covers prime factorization in chapter 2. Cryptography is the foundation of all blockchain and cryptocurrency tech and (I believe) will only grow in importance in the future. (BTW, there are some…

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