This title presents a demonstration of how the true mathematician learns to draw unexpected analogies, tackle problems from unusual angles and extract a little more information from the data. It is a collection of truly practical lessons.

How to Solve It : A New Aspect of Mathematical Method

Humor & Entertainment

George Pólya

Puzzles & Games

Penguin

The papers in this volume cluster about the following topics: the location of the zeros of polynomials and other analytic functions; the approximation of analytic functions by polynomials in which the location of zero is restricted (these papers represent some of Pólya's most influential work); the behavior of the zeros of successive derivatives; the zeros of functions defined by trigonometric integrals; and the signs of derivatives and their analytic character.  The volume also includes a paper that is not about zeros but contains a representation theorem for positive polynomials in several variables.

George Polya: Collected Papers Volume 2: Location of Zeros (Mathematicians of Our Time)

Science & Math

Mathematics

Mit Pr

The first volume of Pólya's papers deals with singular points of analytic functions and with other broadly related topics, such as conformal mappings, entire functions, and the rate of growth of analytic functions. The papers are arranged in chronological order, but the editor, in his introduction, shows that they fall into four main sets of topics.  The first is concerned with properties of a function (in particular, the location and nature of its singular points) as deduced from the properties of the coefficients in its power series.  A second set deals with a closely related problem: connections between global properties of a function and its values at an isolated set of points. Analytic functions, especially entire functions, are the subject of a third set of papers, and a final set of six investigates problems in conformal mapping.

George Pólya: Collected Papers, Volume 1: Singularities of Analytic Functions (Mathematicians of Our Time)

Problems and Theorems in Analysis, Vol. 1: Series-Integral Calculus-Theory of Functions (Die Grundlehren der mathematischen Wissenschaften in ... Bde. 193) (English and German Edition)

Springer, Verlag

George Polya was a Hungarian mathematician. Born in Budapest on 13 December 1887, his original name was Pólya Györg. He wrote perhaps the most famous book of mathematics ever written, namely "How to Solve It". 
However, "How to Solve It" is not strictly speaking a math book. It is a book about how to solve problems of any kind, of which math is just one type of problem. The same techniques could in principle be used to solve any problem one encounters in life (such as how to choose the best wife??). 
Therefore, Polya wrote the current volume to explain how the techniques set forth in "How to Solve It" can be applied to specific areas such as geometry.

Mathematical Discovery on Understanding, Learning & Teaching Problem Solving

John Wiley&Sons

Solving Mathematic ProblemsChinese Edition George Polya

Solve It Science and Mathematics

Princeton University Press

Mathematics and Plausible Reasoning

This two volume classic comprises two titles: "Patterns of Plausible Inference" and "Induction and Analogy in Mathematics". 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, Polya shows how even the 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 be given, 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 no proved until much later. In the same way, solutions to problems can be guessed, and a god guesser is much more likely to find a correct solution. This work might have been called "How to Become a Good Guesser."-From the Dust Jacket.

Computers & Technology

Software

Lushena Books

This two volume classic comprises two titles: "Patterns of Plausible Inference" and "Induction and Analogy in Mathematics". 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, Polya shows how even the 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 be given, 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 no proved until much later. In the same way, solutions to problems can be guessed, and a god guesser is much more likely to find a correct solution. This work might have been called "How to Become a Good Guesser."-From the Dust Jacket.

Notes on Introductory Combinatorics (Progress in Computer Science)

Birkhauser, Switzerland

Notes on Introductory Combinatorics

Donald R Woods

Robert E. Tarjan

Birkhauser

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Books by George Pólya