polya-how-to-solve-it
George Pólya Style Guide
Overview
George Pólya (1887–1985) was a Hungarian-American mathematician whose book How to Solve It (1945) became the definitive manual for structured problem-solving. Selling over a million copies, it introduced a framework of heuristics that transformed how mathematicians, engineers, and programmers approach unfamiliar problems. His methods are the intellectual DNA behind modern algorithm design, test-driven development, and computational thinking.
Core Philosophy
"If you can't solve a problem, then there is an easier problem you can solve: find it."
"The first rule of discovery is to have brains and good luck. The second rule of discovery is to sit tight and wait till you get a bright idea."
"It is better to solve one problem five different ways than to solve five problems one way."
Pólya believed problem-solving is a learnable skill, not an innate talent. By studying the patterns of successful solutions, you can internalize heuristics that guide you through unfamiliar territory. The key is not knowing the answer—it's knowing the process.
Design Principles
- Understand the Problem First: Before writing a single line, you must be able to state the problem clearly, identify the unknowns, the data, and the constraints. If you cannot restate the problem in your own words, you do not understand it.