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2024-12-22
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...
評分(不知道為什麼中文版沒有這篇前言。中間有一段Polya的生平這裏省略瞭,有興趣的可以自己榖歌一下。) "How to Solve It" is a wonderful book! This I realized when I first read right through it as a student many years ago, but it has taken me a long time to apprec...
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
just how to solve problem!
評分When to give up on a hard math problem? - NEVER. (T.T)
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not only useful for problem solving but also for teaching made so many mistakes mentioned in the book
How to Solve It 2024 pdf epub mobi 電子書 下載