书名:How to Solve ItANewAspectofMathematicalMethod
作者:G.Polya
译者:
ISBN:9780691119663
出版社:PrincetonUniversityPress
出版时间:2004-04-05
格式:epub/mobi/azw3/pdf
页数:288
豆瓣评分: 9.0
书籍简介:
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."
作者简介:
乔治·波利亚(George Polya,1887—1985),美国数学家和数学教育家。生于匈牙利布达佩斯。1912年获布达佩斯大学博士学位。1914年至1940年在瑞士苏黎世工业大学任数学助理教授、副教授和教授,1928年后任数学系主任。1940年移居美国,历任布朗大学和斯坦福大学的教授。1976年当选美国科学院院士。还是匈牙利科学院、法兰西科学院、比利时布鲁塞尔哲学科学院和美国艺术和科学学院的院士。其数学研究涉及复变函数、概率论、数论、数学分析、组合数学等众多领域。1937年提出的波利亚计数定理是组合数学的重要工具。长期从事数学教学,对数学思维的一般规律有深入的研究,著有《怎样解题》《数学的发现》《数学与猜想》。
书友短评:
@ 截断误差 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 @ 可爱的肖恩 好书 @ 又萌又逗又傻 大部分的问题,都可以按照数学题来对待,寻找相似的解决方法和答案,可能是最有效的办法 @ james 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。 @ 火星来的人 在图书馆抢读的。 @ 渡渡今天不想飞 读完序章就跑了,学生时代读的话可能会有用,现在读就是,嗯你说的不错但是我已经不会想数学题了 @ w 深知而与行合一 @ Marine 四步的关键是回顾/programmers at work 推荐 @ lonzo的球 直接帮助不大。适合给妹妹看
Princeton Science Library(共51册),这套丛书还有《The Pythagorean Theorem》《The Miner's Canary》《The Causes of Evolution》《The Evolution of Culture in Animals》《Encounters with Einstein》等。
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