图书标签: 思维 数学 problem-solve 思考 Mathematics 方法论 thinking 心理学
发表于2024-07-04
How to Solve It pdf epub mobi txt 电子书 下载 2024
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."
不仅仅要知道如何使用算法比如分治法、递归法,还要知道这些算法是怎么由数学家想出来的。
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
评分在图书馆翻了一遍(今天实在时昏昏欲睡),要是高中时看就好了,可惜一切都晚了。
评分史上最经典数学解体教科书,中国数学老师,中国上亿学生最应该看的辅导书。
评分只能说大体上通读了一遍,对作者量化问题提出的通用解法印象深刻,虽然不是很确定是不是真的是否可以推广到更宽的范畴中,但至少有了一个很明晰的思路,醍醐灌顶
最近,小子学校里面经常组织家长课堂活动,请了许多心理咨询老师、家庭教育专家给家长们讲课。其中有一位老师的话,给我留下了深刻的印象: 最高级的父母,不是撒手不管,不是只给孩子钱,给孩子时间,不是给孩子做保姆,也不是当教练。最高级的父母是在孩子遇到问题时,会引导...
评分从小数学成绩一向不错,也曾去琢磨其中解题的套路,但是却没有章法。曾经有着所谓超级瞎蒙法。但是读了Polya 的书,视为山外有山人外有人。有人居然可以把解题这种没有没有章法,千奇百怪的套路,如此抽象的思维活动,如此这般的讲解,丝丝入扣。 回过头来,如果曾经早...
评分 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、...
评分做了个思维导图,相当于解决难题的checklist吧。 checklist有教条的嫌疑,但是教条之所以是教条就是因为教条具有价值。对教条主义的批判,应该是执行教条中的僵硬和肤浅,而不是教条本身。 这种思考流程几乎对所有的问题有用,而不仅仅是数学题目。只是对不同的问题,可能有不...
How to Solve It pdf epub mobi txt 电子书 下载 2024