Mathematics and Plausible Reasoning: Vol. II: Patterns of

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

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.

Country	USA
Author	George Polya
Binding	Paperback
Brand	Brand: Ishi Press
EAN	9784871878340
Feature	Used Book in Good Condition
ISBN	4871878341
Label	Ishi Press
Manufacturer	Ishi Press
NumberOfItems	1
NumberOfPages	202
PublicationDate	2009-07-13
Publisher	Ishi Press
Studio	Ishi Press
ReleaseDate	0000-00-00

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

You might also like...