问题求解的艺术
The Art of Problem Solving
Richard Rusczyk、Sandor Lehoczky · 初版 1993 年
32人推荐
38位读者提及
66次提及
为什么值得读
- 汇集大量高阶竞赛真题
- 充满直观的视觉化原理解释
- 夯实基础直通大学数学
The Art of Problem Solving, Volume 1 是许多卓越 MATHCOUNTS 培训项目所使用的经典解题教材，也为众多学生打下了坚实的基础；正如本书作者一样，他们凭借在 American Mathematics Contest 系列竞赛中的出色表现，获得了入选 Math Olympiad Summer Program 的资格，该项目致力于为美国 International Math Olympiad 国家队培训队员。第一册非常适合刚涉足数学竞赛的学生，MATHCOUNTS 选手和初入高中的学生尤其觉得它弥足珍贵。尽管 The Art of Problem Solving 被广大学生广泛使用
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…我小时候读过的包括：Ian Stewart 的《Concepts of Modern Mathematics》（Dover 重印版）、John Stillwell 的《Numbers and Geometry》（Springer）、W. W. Sawyer 的《Vision in Elementary Mathematics》（Dover 重印版）、Sandor Lehoczky 和 Richard Rusczyk 合著的《The Art of Problem Solving》（Art of Problem Solving 出版社）。针对这类需求常被推荐的一本书是 Susan Assouline 和 Ann Lupkowski-Shoplik 写的《Developing Math Talent》，不过我还没顾上…
…growing up include Concepts of Modern Mathematics by Ian Stewart (Dover reprint) Numbers and Geometry by John Stillwell (Springer) Vision in Elementary Mathematics by W. W. Sawyer (Dover reprint) The Art of Problem Solving by Sandor Lehoczky and Richard Rusczyk (Art of Problem Solving) A frequently recommended book for this need is Developing Math Talent by Susan Assouline and Ann Lupkowski-Shoplik, but I haven't made…
缺乏直观的数学解释一直是我的一大痛点。我是个非常依赖视觉思考的人，这也是为什么我喜欢由 Richard Rusczyk、David Patrick 和 Ravi Boppana 编写的 Art of Problem Solving 新教材《Prealgebra》——https://www.artofproblemsolving.com/Store/viewitem.php?item=... 里面充满了有趣的视觉化“解释”和替代…
the lack of intuitive explanations for math is a major pet peeve of mine I'm a very visual thinker, and that is one reason I enjoy the new Art of Problem Solving textbook Prealgebra by Richard Rusczyk, David Patrick, and Ravi Boppana-- https://www.artofproblemsolving.com/Store/viewitem.php?item=... it is full of interesting visual "explanations" and substitute…
靠刷 app 能学到的数学深度，根本不是 Su 所指的那种东西。我建议去学形式证明，或许可以挑几本 Art of Problem Solving 的书看看。或者把任何正规大学数学专业的基础课程扎扎实实啃一遍（比如代数、分析、拓扑、数论等等）。
The level of math amenable to apps isn't really what Su is talking about. I would suggest learning proofs, and maybe pick up some Art of Problem Solving books. Or perhaps working through the foundational curriculum of any decent math program (e.g., algebra, analysis, topology, number theory, etc.).
关键就在于大量刷题。对此我强烈推荐《The Art of Problem Solving》，里面干货满满，全都是精妙的洞见和来自数学竞赛的有趣题目（难度属于“高阶高中生”水平）。https://www.amazon.com/Art-Problem-Solving-Vol-Basics/dp/097...
The key is to do lots of problems. Toward this, I highly recommend "The Art of Problem Solving" which is packed full of neat insights and interesting problems from math competitions (at an "advanced high school" level). https://www.amazon.com/Art-Problem-Solving-Vol-Basics/dp/097...
取决于你的数学功底，刷一刷 Art of Problem Solving 系列图书 [0] 可能会是个极好的准备过程，因为它们能为你打下不可思议的扎实数学底子。老实说，刷完那些书之后，你大概自学大学本科数学都能搞得定了…
Depending on your mathematical background, you might find working through the Art of Problem Solving books [0] good preparation as they would build an incredible mathematical foundation for you. Honestly after working through those books, you could probably complete self-studying an undergraduate mathematics…
如果你想找一本优秀的“非线性”数学书，不妨试试《The Art Of Problem Solving》系列各卷。
If you want a good "non-linear" math book, try the Art Of Problem Solving volumes.