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2025-03-25
How to Solve It 2025 pdf epub mobi 電子書 下載
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...
評分從小數學成績一嚮不錯,也曾去琢磨其中解題的套路,但是卻沒有章法。曾經有著所謂超級瞎濛法。但是讀瞭Polya 的書,視為山外有山人外有人。有人居然可以把解題這種沒有沒有章法,韆奇百怪的套路,如此抽象的思維活動,如此這般的講解,絲絲入扣。 迴過頭來,如果曾經早...
評分我的數學一直挺爛。從高中起我就一直迷惑:那些數學傢們,他們當年解那些題目的時候,到底怎麼想齣來的?為什麼他們會那麼想? 看瞭《怎樣解題》,這種疑惑纔真正得到冰釋。數學傢們也不都是天馬行空或是鬼神附體,解決問題還是有一定的方法。而且個人認為,這...
評分 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...
圖書標籤: 思維 數學 problem-solve 思考 Mathematics 方法論 thinking 心理學
不僅僅要知道如何使用算法比如分治法、遞歸法,還要知道這些算法是怎麼由數學傢想齣來的。
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。
評分絕好的內功心法
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
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。
How to Solve It 2025 pdf epub mobi 電子書 下載