《无字证明》封面

无字证明

Proofs without Words

Roger B. Nelsen · 初版 1993 年

8人推荐
12位读者提及
14次提及

为什么值得读

  • 全书完全由直观图像构成的公式与不等式证明组成
  • 涵盖多个数学领域,帮助读者进行视觉化思维训练

Proofs without words通常是帮助读者理解某个数学命题为何可能成立、以及如何着手进行证明的图画或图表。虽然在某些无字证明中可能会出现一两个方程式来辅助引导该过程,但其重点显然在于提供视觉线索以激发数学思维。本集中的证明按主题分为五章:几何与代数;三角学、微积分与解析几何;不等式;整数和;以及数列与级数。教师们会发现,其中的许多证明……

Hacker News 上怎么说

  • 如果你喜欢这个,那你一定会爱上《Proofs without Words: Exercises in Visual Thinking》这本书:http://www.amazon.com/Proofs-without-Words-Exercises-Classro...

    If you like this, you'll love the book Proofs without Words: Exercises in Visual Thinking: http://www.amazon.com/Proofs-without-Words-Exercises-Classro...

  • 如果你真心喜欢视觉化数学,有一本书叫《无字证明》(Proofs without words):http://www.amazon.com/Proofs-without-Words-Exercises-Classro...

    If you really like visual mathematics, then there is a book called "Proofs without words": http://www.amazon.com/Proofs-without-Words-Exercises-Classro...

  • 你要是喜欢这类东西,绝对得去看看这本书:http://www.amazon.com/Proofs-without-Words-Exercises-Classro...

    If you like this sort of thing, definitely check out this book: http://www.amazon.com/Proofs-without-Words-Exercises-Classro...

  • Roger Nelsen 写的这套精彩的《无字证明》(Proofs Without Words)三部曲,全都是用直观图解的形式来“证明”来自各个数学领域的等式和不等式。http://gen.lib.rus.ec/search.php?req=proofs+without+words

    The 3 wonderful Roger Nelsen books Proofs Without Words entirely consist of equations & inequalities from various mathematical fields 'proved' in intuitive pictorial form. http://gen.lib.rus.ec/search.php?req=proofs+without+words

  • ……https://artofproblemsolving.com/store/list/aops-curriculum 我拿的是生物工程博士学位,但目前正在啃《计数与概率入门》(Introduction to Counting and Probability),看得津津有味。其他几本(非 AOPS 系列):Nelsen 的《无字证明》(Proofs Without Words)、波利亚的《怎样解题》(How to Solve It)、Strogatz 的《非线性动力学与混沌》(Nonlinear Dynamics and Chaos)

    …https://artofproblemsolving.com/store/list/aops-curriculum I've got a PhD in bioengineering but I'm currently going through Introduction to Counting and Probability and I'm really enjoying it. Some others (not AOPS series): Nelsen - Proofs Without Words Polya - How to Solve it Strogatz - Nonlinear Dynamics and Chaos

  • 很棒的入门书配视频资源:- 《数学及其历史》(John Stillwell)- 《天才之旅:数学名定理殿堂》(William Dunham)- 《无字证明:直观思维练习题》(Roger B. Nelsen)- 《数学宇宙:漫步于伟大证明、难题与数学家生平的字母之旅》(William Dunham)- 《Odds & Ends: Introducing…

    Great introductory books along with videos: - Mathematics and Its History (John Stillwell) - Journey through Genius: The Great Theorems of Mathematics (William Dunham) - Proofs Without Words: Exercises in Visual Thinking (Roger B. Nelsen) - The Mathematical Universe: An Alphabetical Journey Through the Great Proofs, Problems, and Personalities (William Dunham) - Odds & Ends: Introducing…

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