问题解决的艺术与技巧
The Art and Craft of Problem Solving
Paul Zeitz · 初版 1999 年
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为什么值得读
- 呈现优秀解题者面对数学问题时的核心思维方式
- 超越机械套用公式，提供真正的解题洞察力
- 常与波利亚著作并列为数学竞赛解题优质读物
本书将趣味习题与策略、工具和技巧巧妙融合，旨在培养问题解决所需的数学技能与直觉。
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The Art and Craft of Problem Solving
Paul Zeitz · 初版 1999 年
本书将趣味习题与策略、工具和技巧巧妙融合，旨在培养问题解决所需的数学技能与直觉。
正在加载完整评论……
……从更宽泛的角度来看（跳出某个具体的解题领域）。有人能推荐一些不那么传统/小众的关于解题（problem solving）的书籍或文章吗？波利亚的《怎样解题》（How to Solve It）和保罗·齐茨的《Art and Craft of Problem Solving》都很棒。关于这个主题还有其他值得一读的资源吗？
…from a general point of view (outside of some problem solving domain). Does anyone have any non-orthodox suggestions for books/essays on problem solving? Polya's "How to Solve It" and Paul Zeitz's "Art and Craft of Problem Solving" are both great. Are there other resources on this topic that are worth reading?
……面临的：1. 你大概率没有接受过针对解题者的系统训练。所以第一件事就是要开始理解解题高手是如何看待数学的。我推荐两本书：- 保罗·齐茨的《The Art and Craft of Problem Solving》- 乔治·波利亚的《How to Solve It》。还有其他的，比如 http://www.amazon.com/Math-Olympiad-Resources/lm/1SWDJ5NA047... 记住，你看到的大多数证明都是经过高度润色的……
…facing: 1. You most likely wouldn't have had a problem solver's education. So the first thing to do would be do start understanding how problem solvers approach Mathematics. I suggest two books: - The Art and Craft of Problem Solving by Paul Zeitz - How to Solve It by George Polya There are also others, e.g., http://www.amazon.com/Math-Olympiad-Resources/lm/1SWDJ5NA047... Keep in mind that most proofs you see are highly polished…
……借此机会提个小建议 :-) 不知你们能否把数学做得更加以“解题为核心”（可以参考 www.artofproblemsolving.com 的做法，还有保罗·齐茨的《The Art and Craft of Problem Solving》以及乔治·波利亚的《How to solve it》）。学校课程里的大多数数学都不过是稍微高级一点的套公式死算（plug n' chug）。学生根本体会不到真正的……
…take this opportunity to give a small suggestion :-) I was wondering if you guys could make Mathematics more problem solving centric (see www.artofproblemsolving.com for an example approach. Also "The Art and Craft of Problem Solving" by Paul Zeitz and George Polya's "How to solve it") Most of the Mathematics in school curriculum is just plug n' chug work at a slightly higher level. Students do not get any insights into how really…
……高德纳（Knuth）写的数学书，里面包含了大量在计算机科学领域非常有用的数学工具和技巧。要想学习优秀的解题高手是如何切入数学的，我推荐以下两本：1. 保罗·齐茨的《The Art and Craft of Problem Solving》；2. 乔治·波利亚的《How to Solve It》。我还建议学一学数论、组合数学或几何等任何竞赛数学主题，作为提升你的基础材料……
…Mathematics by Knuth, which contains a lot of Mathematical tools and techniques useful in areas of Computer Science, I'd recommend the following to learn how good problem solvers approach Mathematics: 1. The Art and Craft of Problem Solving by Paul Zeitz. 2. How to Solve It by George Polya. I'd also recommend learning any of the competition Mathematics topics like number theory, combinatorics or geometry as base material to improve your…
……那个主页信息量不大，但你可以搜索任何主题，都能找到相关的原理解释以及能用它解决的题目。比如：根轴（radical axis）[2]。如果你在找书，最受推崇的是保罗·齐茨的《The Art and Craft of Problem Solving》。[1] http://www.artofproblemsolving.com/wiki/index.php/Main_Page [2] http://www.artofproblemsolving.com/wiki/index.php/Radical_ax...
…That homepage isn't very informative, but you can search for any topic and find explanations and problems that can be solved from that. For example: radical axis [2] If you're looking for a book, The Art and Craft of Problem Solving by Paul Zeitz is the most recommended. [1] http://www.artofproblemsolving.com/wiki/index.php/Main_Page [2] http://www.artofproblemsolving.com/wiki/index.php/Radical_ax...
……分析、带有 trace routine 的测试与调试、I/O 算法），当然细节详实得多，题目也难得多。为了看懂开头几百页的数学预备知识，齐茨的《The Art and Craft of Problem Solving》和斯图尔特的《Concepts of Modern Mathematics》必不可少，这两本也都是这里的其他书单帖推荐过的。另外我也已经读完了涵盖 x86-64 汇编的 CS:APP……
…analysis,testing and debugging w/trace routines, I/O algorithms) but of course in much more detail with much harder problems. To understand the first few hundred pages on mathematical preliminaries, the books "The Art and Craft of Problem Solving" by Zeitz and "Concepts of Modern Mathematics" by Stewart, were essential, both of which were recommended here in other book list posts. I also had already read the CS:APP book which covers x86-64 assembly…