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."
生活本来就是面临在我们面前的一道题目,所以生活的过程就是解题的过程。 我想这是波利亚这本书对我的最大启示,对于一个问题的求解,我想,作为大学生,其实我们已经有了很深入的了解,大多数人是这样认为的,但是这对吗? 关于问题的求解步骤我们很少去认真的关心,求解方法...
评分(不知道为什么中文版没有这篇前言。中间有一段Polya的生平这里省略了,有兴趣的可以自己谷歌一下。) "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...
评分一句话概括:用散文化的笔法阐释探索法。 读后感: ”棋盘就是世界,棋子就是宇宙的现象,比赛规则就是我们所谓的自然法则,对手隐身幕后,永远公正而有耐心。可是从经验获知,他从不忽视我们的错误,也不肯容许无知。“——赫胥黎 生活处处可推理,充满着谜题、...
评分这本书无疑值得任何一个想提升解题能力的人来阅读,我甚至觉得,我们能在这本书上找到一些解决问题的普遍原则,这些问题并不单指数学问题,我觉得还包括怎样学习&怎样解决生活中的问题。 在书的最开头,作者列出了解题步骤的简单表,我觉得这是这本书最有价值的地方。每个读这...
评分: O1-44/P781
评分: O1-44/P781
评分前面还好看一点,后面感觉好难读进去。其实不止是数学题,这更是一种解决问题的思维,了解问题是什么,找出各个项之间的联系,理清思路得出计划,检查和讨论。
评分这书看完part 1就给跪了。。。要是我能在中学时代养成这么一套思路,得少做多少无用功啊。。。然,我本人资质十分有限所以即使少做很多无用功余下的努力也基本上都是无用功这件事儿就略过不表了
评分When to give up on a hard math problem? - NEVER. (T.T)
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