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2024-06-25
How to Solve It 2024 pdf epub mobi 電子書 下載
終於翻完波利亞這本“怎樣解題”,大受裨益。雖然這本書主要是以數學學習為主,但其中一些思想是可以擴展到大部分問題的解決。 書的核心內容是現代探索法 (P108)、帕普斯 (P117)和前麵那張錶,個人覺得可以以這三部分內容為主,然後在書中第三部分的“探索法小詞典”裏麵...
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...
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...
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
評分在圖書館翻瞭一遍(今天實在時昏昏欲睡),要是高中時看就好瞭,可惜一切都晚瞭。
評分真正的,看的不是書,是寂寞。 ---- 看數理化的哲學—如何解決問題。
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 2024 pdf epub mobi 電子書 下載