How to Solve It (1945) is a small volume by mathematician George Pólya describing methods of problem solving.[1]
How to Solve It suggests the following steps when solving a mathematical problem:
- First, you have to understand the problem.[2]
- After understanding, then make a plan.[3]
- Carry out the plan.[4]
- Look back on your work.[5] How could it be better?
If this technique fails, Pólya advises:[6] “If you can’t solve a problem, then there is an easier problem you can solve: find it.”[7] Or: “If you cannot solve the proposed problem, try to solve first some related problem. Could you imagine a more accessible related problem?”