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2025-04-16
How to Solve It 2025 pdf epub mobi 電子書 下載
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...
評分一句話概括:用散文化的筆法闡釋探索法。 讀後感: ”棋盤就是世界,棋子就是宇宙的現象,比賽規則就是我們所謂的自然法則,對手隱身幕後,永遠公正而有耐心。可是從經驗獲知,他從不忽視我們的錯誤,也不肯容許無知。“——赫胥黎 生活處處可推理,充滿著謎題、...
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...
評分這本書無疑值得任何一個想提升解題能力的人來閱讀,我甚至覺得,我們能在這本書上找到一些解決問題的普遍原則,這些問題並不單指數學問題,我覺得還包括怎樣學習&怎樣解決生活中的問題。 在書的最開頭,作者列齣瞭解題步驟的簡單錶,我覺得這是這本書最有價值的地方。每個讀這...
圖書標籤: 思維 數學 problem-solve 思考 Mathematics 方法論 thinking 心理學
隻能說大體上通讀瞭一遍,對作者量化問題提齣的通用解法印象深刻,雖然不是很確定是不是真的是否可以推廣到更寬的範疇中,但至少有瞭一個很明晰的思路,醍醐灌頂
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!!!!
評分好書
評分just how to solve problem!
How to Solve It 2025 pdf epub mobi 電子書 下載