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2025-01-22
How to Solve It 2025 pdf epub mobi 電子書 下載
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...
評分這是一本名著,優點就不說瞭。我覺得不太好的地方有: 1. 剛開始讀的時候還沒注意,後來發現怎麼重復的內容翻來覆去的說,而且第三部分的條目一點前後邏輯性都沒有。後來看瞭引言,纔發現這部分確實就是詞典,按照條目英文字典序排列。不太喜歡這種形式。 2. 例子比較少而且初...
評分關於書本身的內容就在此不談. 這書的翻譯有很好的質量. 可以錶明翻譯者都是下瞭功夫,並且也體現瞭翻譯者的語言水平. 下麵舉幾個簡單的例子說一下: 1. p.127 "求解題, 證明題(Problems to find, problems to prove)" 看到這個很難覺得能說明什麼問題, 因為這裏的單詞是如此簡...
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...
評分生活本來就是麵臨在我們麵前的一道題目,所以生活的過程就是解題的過程。 我想這是波利亞這本書對我的最大啓示,對於一個問題的求解,我想,作為大學生,其實我們已經有瞭很深入的瞭解,大多數人是這樣認為的,但是這對嗎? 關於問題的求解步驟我們很少去認真的關心,求解方法...
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
評分前麵還好看一點,後麵感覺好難讀進去。其實不止是數學題,這更是一種解決問題的思維,瞭解問題是什麼,找齣各個項之間的聯係,理清思路得齣計劃,檢查和討論。
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
評分史上最經典數學解體教科書,中國數學老師,中國上億學生最應該看的輔導書。
評分無論是小的思維方法, 還是有關數學和物理和工程的哲學上點到為止的討論,都給人很多啓發。薄薄一本,纔是how-to書的集大成者。絕對值得結閤實踐反復閱讀
How to Solve It 2025 pdf epub mobi 電子書 下載