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This book has been popular since it was first published. Basically it is a book dedicated to the discussion of heuristic, which literally means "serving to discovery" in Latin. The reading experience may not be very comfortable for a modern reader, provide...
评分 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...
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
评分在图书馆抢读的。
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not only useful for problem solving but also for teaching made so many mistakes mentioned in the book
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