How to Solve it: A New Aspects of Mathematical MethodIn this classic text, George Polya (18871985) offers something unique: a set of strategies for solving mathematical problems. The 'heuristic' theoretical approach, based on a deep analysis of the methods and rules of discovery and invention, proved an inspiration to a generation of teachers and students. Yet the lessons are utterly practical: Polya brilliantly demonstrates how the true mathematician learns to draw unexpected analogies, tackle problems from unusual angles and extract a little more information from the data. Traditional mathematics can often seem just a process of dry, rigorous deduction: How to Solve It wonderfully conveys its challenge and excitement as a problemsolving activity. 
What people are saying  Write a review
User ratings
5 stars 
 
4 stars 
 
3 stars 
 
2 stars 
 
1 star 

Review: How to Solve It: A New Aspect of Mathematical Method
User Review  Matt  GoodreadsThe information in this book was extremely useful and extremely difficult to approach. I read the Kindle edition which may be part of the problem, but the majority of the book is structured as a ... Read full review
Review: How to Solve It: A New Aspect of Mathematical Method
User Review  Thai Son  GoodreadsHailed as the classic guide to problem solving, this book did quite a good job at categorizing the ways of looking at a problem, and some general methods of solving and treating them. However, I think ... Read full review
Common terms and phrases
altitude analogy angle Archimedes argument auxiliary element auxiliary problem base bright idea center of gravity conclusion condition connection consider construction definition derive desirable discuss Draw a figure edges equation Euclid's Elements examine example fact Find the diagonal foregoing formerly acquired knowledge formerly solved problem formula frustum given guess hypotenuse hypothesis important indirect proof induction Introduce suitable notation know a related length look mathematical induction mathematical problems means median planes method natural numbers objects obtain original problem pappus parabola parallel parallelepiped parallelogram perimeter plane geometry plausible possible present prob problem to prove problems to find procedure progress proposed problem questions and suggestions rectangular reductio ad absurdum related problem restate result right triangle satisfy sides simpler analogous problem solid geometry solution sort square straight line teacher tetrahedron theorem three medians tion try to think understand the problem vertex vertices wish word