How to Solve It

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出版者:Princeton University Press
作者:G. Polya
出品人:
页数:288
译者:
出版时间:2004-04-05
价格:USD 18.95
装帧:Paperback
isbn号码:9780691119663
丛书系列:Princeton Science Library
图书标签:
  • 思维 
  • 数学 
  • problem-solve 
  • 思考 
  • Mathematics 
  • 方法论 
  • thinking 
  • 心理学 
  •  
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A perennial bestseller by eminent mathematician G. Polya, "How to Solve It" will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out - from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft - indeed, brilliant - instructions on stripping away irrelevancies and going straight to the heart of the problem. In this best-selling classic, George Polya revealed how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out - from building a bridge to winning a game of anagrams.Generations of readers have relished Polya's deft instructions on stripping away irrelevancies and going straight to the heart of a problem. "How to Solve It" popularized heuristics, the art and science of discovery and invention. It has been in print continuously since 1945 and has been translated into twenty-three different languages. Polya was one of the most influential mathematicians of the twentieth century. He made important contributions to a great variety of mathematical research: from complex analysis to mathematical physics, number theory, probability, geometry, astronomy, and combinatorics. He was also an extraordinary teacher - he taught until he was ninety - and maintained a strong interest in pedagogical matters throughout his long career.In addition to "How to Solve It", he published a two-volume work on the topic of problem solving, "Mathematics of Plausible Reasoning", also with Princeton. Polya is one of the most frequently quoted mathematicians, and the following statements from "How to Solve It" make clear why: "My method to overcome a difficulty is to go around it." "Geometry is the science of correct reasoning on incorrect figures." "In order to solve this differential equation you look at it till a solution occurs to you."

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读后感

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终于翻完波利亚这本“怎样解题”,大受裨益。虽然这本书主要是以数学学习为主,但其中一些思想是可以扩展到大部分问题的解决。 书的核心内容是现代探索法 (P108)、帕普斯 (P117)和前面那张表,个人觉得可以以这三部分内容为主,然后在书中第三部分的“探索法小词典”里面...  

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第一次知道波利亚的《怎样解题》是在大学的师范教育类课程当中,当时只将它作为考点之一记下书名作者和中心内容,并没有详细地去阅读研究,毕业三年后的这个寒假才有机会下定决心把它当成作业来完成。 总的来说,这不是一本教授具体的解题技巧的书,书中没有很多眼花缭乱又精妙...  

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做了个思维导图,相当于解决难题的checklist吧。 checklist有教条的嫌疑,但是教条之所以是教条就是因为教条具有价值。对教条主义的批判,应该是执行教条中的僵硬和肤浅,而不是教条本身。 这种思考流程几乎对所有的问题有用,而不仅仅是数学题目。只是对不同的问题,可能有不...  

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这本书影响了我的生活轨迹。我属于那种没事爱瞎琢磨的人, 波利亚没事瞎琢磨琢磨出了一套解题的本领,我没事瞎琢磨啥也 没琢磨出来。自初中数学开始,我就没有真正理解数学了,尽管 也有一套对付数学题的办法,但是再没有小学时的那种澄明的感觉了。 因为那些抽象的概念,一直...  

用户评价

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这书看完part 1就给跪了。。。要是我能在中学时代养成这么一套思路,得少做多少无用功啊。。。然,我本人资质十分有限所以即使少做很多无用功余下的努力也基本上都是无用功这件事儿就略过不表了

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just how to solve problem!

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绝对好书。如果硬要挑刺,也就是有些形式上的重复;个别条目稍嫌琐碎(譬如Notation)。倘高中生当做英语阅读材料,内外兼修,加持无量。

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前面还好看一点,后面感觉好难读进去。其实不止是数学题,这更是一种解决问题的思维,了解问题是什么,找出各个项之间的联系,理清思路得出计划,检查和讨论。

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在图书馆抢读的。

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