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."
这是一本名著,优点就不说了。我觉得不太好的地方有: 1. 刚开始读的时候还没注意,后来发现怎么重复的内容翻来覆去的说,而且第三部分的条目一点前后逻辑性都没有。后来看了引言,才发现这部分确实就是词典,按照条目英文字典序排列。不太喜欢这种形式。 2. 例子比较少而且初...
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...
评分关于书本身的内容就在此不谈. 这书的翻译有很好的质量. 可以表明翻译者都是下了功夫,并且也体现了翻译者的语言水平. 下面举几个简单的例子说一下: 1. p.127 "求解题, 证明题(Problems to find, problems to prove)" 看到这个很难觉得能说明什么问题, 因为这里的单词是如此简...
评分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...
无论是小的思维方法, 还是有关数学和物理和工程的哲学上点到为止的讨论,都给人很多启发。薄薄一本,才是how-to书的集大成者。绝对值得结合实践反复阅读
评分无论是小的思维方法, 还是有关数学和物理和工程的哲学上点到为止的讨论,都给人很多启发。薄薄一本,才是how-to书的集大成者。绝对值得结合实践反复阅读
评分just how to solve problem!
评分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。
评分在图书馆抢读的。
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