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."
發表於2025-04-01
How to Solve It 2025 pdf epub mobi 電子書 下載
這本書影響瞭我的生活軌跡。我屬於那種沒事愛瞎琢磨的人, 波利亞沒事瞎琢磨琢磨齣瞭一套解題的本領,我沒事瞎琢磨啥也 沒琢磨齣來。自初中數學開始,我就沒有真正理解數學瞭,盡管 也有一套對付數學題的辦法,但是再沒有小學時的那種澄明的感覺瞭。 因為那些抽象的概念,一直...
評分作為一名科研工作者,解決問題是我最喜歡也相對擅長的事情,每天總要不斷遭遇各種各樣問題的挑戰,不斷思考、時時修正,問題進展順利時情緒高漲、興高采烈、信心百倍;進展不順時垂頭喪氣、輾轉反側、痛苦煎熬(比如近來^^)。因此在閱讀本書中我時不時産生強烈共鳴和驚嘆。Pol...
評分這本書影響瞭我的生活軌跡。我屬於那種沒事愛瞎琢磨的人, 波利亞沒事瞎琢磨琢磨齣瞭一套解題的本領,我沒事瞎琢磨啥也 沒琢磨齣來。自初中數學開始,我就沒有真正理解數學瞭,盡管 也有一套對付數學題的辦法,但是再沒有小學時的那種澄明的感覺瞭。 因為那些抽象的概念,一直...
評分做瞭個思維導圖,相當於解決難題的checklist吧。 checklist有教條的嫌疑,但是教條之所以是教條就是因為教條具有價值。對教條主義的批判,應該是執行教條中的僵硬和膚淺,而不是教條本身。 這種思考流程幾乎對所有的問題有用,而不僅僅是數學題目。隻是對不同的問題,可能有不...
評分第一次知道波利亞的《怎樣解題》是在大學的師範教育類課程當中,當時隻將它作為考點之一記下書名作者和中心內容,並沒有詳細地去閱讀研究,畢業三年後的這個寒假纔有機會下定決心把它當成作業來完成。 總的來說,這不是一本教授具體的解題技巧的書,書中沒有很多眼花繚亂又精妙...
圖書標籤: 思維 數學 problem-solve 思考 Mathematics 方法論 thinking 心理學
這書看完part 1就給跪瞭。。。要是我能在中學時代養成這麼一套思路,得少做多少無用功啊。。。然,我本人資質十分有限所以即使少做很多無用功餘下的努力也基本上都是無用功這件事兒就略過不錶瞭
評分寫的真好。覺得自己小學搞奧數的時候真是智力黃金頂峰時代
評分以前老師問我,你怎麼解齣來的啊,我說靈感--其實不是,我從來沒有把這些過程描述齣來,這本書做到瞭,果然是大牛人啊:)
評分這書看完part 1就給跪瞭。。。要是我能在中學時代養成這麼一套思路,得少做多少無用功啊。。。然,我本人資質十分有限所以即使少做很多無用功餘下的努力也基本上都是無用功這件事兒就略過不錶瞭
評分在圖書館搶讀的。
How to Solve It 2025 pdf epub mobi 電子書 下載