Mathematics and Plausible Reasoning:Vol. II: Patterns of Plausible Inference

Mathematics and Plausible Reasoning:Vol. II: Patterns of Plausible Inference
分享
扫描下方二维码分享到微信
打开微信,点击右上角”+“,
使用”扫一扫“即可将网页分享到朋友圈。
作者:
出版社: Ishi Press
2009-07
ISBN: 9784871878340
装帧: 其他
页数: 202页
  • This is a guide to the practical art of plausible reasoning, particularly in mathematics but also in every field of human activity. Using mathematics as the example par excellence, Professor Polya shows how even that most rigorous deductive discipline is heavily dependent on techniques of guessing, inductive reasoning, and reasoning by analogy. In solving a problem, the answer must be guessed at before a proof can even begin, and guesses are usually made from a knowledge of facts, experience, and hunches. The truly creative mathematician must be a good guesser first and a good prover afterward; many important theorems have been guessed but not proved until much later. In the same way, solutions to problems can be guessed, and a good guesser is much more likely to find a correct solution. This work might have been called "How to Become a Good Guesser." Professor Polya's deep understanding of the psychology of creative mathematics enables him to show the reader how to attack a new problem, how to get at the heart of it, what trains of thought may lead to a solution. There is no magic formula here, but there is much practical wisdom. Volumes I and II together make a coherent work on Mathematics and Plausible Reasoning. Volume I on Induction and Analogy stands by itself as an essential book for anyone interested in mathematical reasoning. Volume II on Patterns o f Plausible Inference builds on the examples of Volume I but is not otherwise dependent on it. A more sophisticated reader with some mathematical experience will have no difficulty in reading Volume II independently, though he will probably want to read Volume I afterward. Professor Polya's earlier more elementary book How to Solve It was closely related to Mathematics and Plausible Reasoning and furnished some background for it.
  • 内容简介:
    This is a guide to the practical art of plausible reasoning, particularly in mathematics but also in every field of human activity. Using mathematics as the example par excellence, Professor Polya shows how even that most rigorous deductive discipline is heavily dependent on techniques of guessing, inductive reasoning, and reasoning by analogy. In solving a problem, the answer must be guessed at before a proof can even begin, and guesses are usually made from a knowledge of facts, experience, and hunches. The truly creative mathematician must be a good guesser first and a good prover afterward; many important theorems have been guessed but not proved until much later. In the same way, solutions to problems can be guessed, and a good guesser is much more likely to find a correct solution. This work might have been called "How to Become a Good Guesser." Professor Polya's deep understanding of the psychology of creative mathematics enables him to show the reader how to attack a new problem, how to get at the heart of it, what trains of thought may lead to a solution. There is no magic formula here, but there is much practical wisdom. Volumes I and II together make a coherent work on Mathematics and Plausible Reasoning. Volume I on Induction and Analogy stands by itself as an essential book for anyone interested in mathematical reasoning. Volume II on Patterns o f Plausible Inference builds on the examples of Volume I but is not otherwise dependent on it. A more sophisticated reader with some mathematical experience will have no difficulty in reading Volume II independently, though he will probably want to read Volume I afterward. Professor Polya's earlier more elementary book How to Solve It was closely related to Mathematics and Plausible Reasoning and furnished some background for it.
查看详情
相关图书 / 更多
Mathematics and Plausible Reasoning:Vol. II: Patterns of Plausible Inference
Mathematics for Computer Graphics (Undergraduate Topics in Computer Science)
John Vince
Mathematics and Plausible Reasoning:Vol. II: Patterns of Plausible Inference
Mathematics:TheLossofCertainty
Morris Kline 著
Mathematics and Plausible Reasoning:Vol. II: Patterns of Plausible Inference
Mathematics, Poetry and Beauty
Ron Aharoni
Mathematics and Plausible Reasoning:Vol. II: Patterns of Plausible Inference
Mathematics-HigherLevel-PearsonBaccaulareteforIbDiplomaPrograms
Ibrahim Wazir 著
Mathematics and Plausible Reasoning:Vol. II: Patterns of Plausible Inference
Mathematics: The New Golden Age
Keith J. Devlin 著
Mathematics and Plausible Reasoning:Vol. II: Patterns of Plausible Inference
MathematicsforPlumbersandPipefitters
Lee Smith 著
Mathematics and Plausible Reasoning:Vol. II: Patterns of Plausible Inference
Mathematics:A Discrete Introduction
Edward A. Scheinerman
Mathematics and Plausible Reasoning:Vol. II: Patterns of Plausible Inference
MathematicsforElementarySchoolTeachers:ProcessApproach
Ricardo Fierro 著
Mathematics and Plausible Reasoning:Vol. II: Patterns of Plausible Inference
MathematicsfortheMillion:HowtoMastertheMagicofNumbers
Lancelot Hogben 著
Mathematics and Plausible Reasoning:Vol. II: Patterns of Plausible Inference
MathematicsforRetailBuying[WithCDROM]
Bette K. Tepper 著
Mathematics and Plausible Reasoning:Vol. II: Patterns of Plausible Inference
MathematicsEducationforaNewEra:VideoGamesasaMediumforLearning
Keith Devlin 著
Mathematics and Plausible Reasoning:Vol. II: Patterns of Plausible Inference
Mathematics for Neuroscientists, Second Edition
Fabrizio Gabbiani;Steven James Cox
您可能感兴趣 / 更多
Mathematics and Plausible Reasoning:Vol. II: Patterns of Plausible Inference
老狼,老狼,几点了
George(露西・M・乔治) 著;[英]Lucy、M、吴瑶 译
Mathematics and Plausible Reasoning:Vol. II: Patterns of Plausible Inference
肌肉骨骼系统性检查
GeorgeV.Lawry 著;万一群 译
Mathematics and Plausible Reasoning:Vol. II: Patterns of Plausible Inference
The Conservative Sensibility
George F. Will
Mathematics and Plausible Reasoning:Vol. II: Patterns of Plausible Inference
I Me Mine:The Extended Edition
George Harrison;Derek Taylor
Mathematics and Plausible Reasoning:Vol. II: Patterns of Plausible Inference
Mr Tompkins in Paperback (Canto Classics)
George Gamow 著
Mathematics and Plausible Reasoning:Vol. II: Patterns of Plausible Inference
Flora Australiensis
George Bentham 著
Mathematics and Plausible Reasoning:Vol. II: Patterns of Plausible Inference
Storia Naturale: Generale E Particolare
Georges-Louis Leclerc De Buff 著
Mathematics and Plausible Reasoning:Vol. II: Patterns of Plausible Inference
Lectures in Logic and Set Theory: Volume 2, Set Theory (Cambridge Studies in Advanced Mathematics)
George Tourlakis 著
Mathematics and Plausible Reasoning:Vol. II: Patterns of Plausible Inference
Biology
George Fried、George Hademenos 著
Mathematics and Plausible Reasoning:Vol. II: Patterns of Plausible Inference
Mathematical Discovery on Understanding, Learning, and Teaching Problem Solving, Volume I
George Polya
Mathematics and Plausible Reasoning:Vol. II: Patterns of Plausible Inference
USMLE Road Map: Genetics (LANGE USMLE Road Maps)
George Sack 著
Mathematics and Plausible Reasoning:Vol. II: Patterns of Plausible Inference
Schaum's Outline of Biology
George Fried;George Hademenos