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Russian inventor Genrich Altshuller developed an elaborate set of methods for problem solving known as TRIZ, which in many aspects reproduces or parallels Pólya's work. How to Solve it by Computer is a computer science book by R. G. Dromey. [29] It was inspired by Pólya's work.
George Pólya (/ ˈ p oʊ l j ə /; Hungarian: Pólya György, pronounced [ˈpoːjɒ ˈɟørɟ]; December 13, 1887 – September 7, 1985) was a Hungarian-American mathematician.He was a professor of mathematics from 1914 to 1940 at ETH Zürich and from 1940 to 1953 at Stanford University.
Instead of solving a specific type of problem, which would seem intuitively easier, it can be easier to solve a more general problem, which covers the specifics of the sought-after solution. The inventor's paradox has been used to describe phenomena in mathematics, programming, and logic, as well as other areas that involve critical thinking.
A college student just solved a seemingly paradoxical math problem—and the answer came from an incredibly unlikely place.
Polya begins Volume I with a discussion on induction, not mathematical induction, but as a way of guessing new results.He shows how the chance observations of a few results of the form 4 = 2 + 2, 6 = 3 + 3, 8 = 3 + 5, 10 = 3 + 7, etc., may prompt a sharp mind to formulate the conjecture that every even number greater than 4 can be represented as the sum of two odd prime numbers.
Pages in category "Princeton University Press books" ... 1945–1960; The Collected Works of C. G. Jung; ... How to Solve It; I.
This is apparently a reference to the second edition of How to Solve It (©1957 G. Polya). I do not know how significantly it differs from the first edition (©1945 Princeton University Press), but I can hardly imagine these ideas were not present in both.
Polya’s intention is to teach students the art of guessing new results in mathematics for which he marshals such notions as induction and analogy as possible sources for plausible reasoning. The first volume of the book is devoted to an extensive discussion of these ideas with several examples drawn from various field of mathematics.