Synthesized answer
The book "How to Solve It" reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out [1, 2]. This applies to a wide range of problems, from building a bridge to winning a game of anagrams [1, 2]. The book provides instructions on how to strip away irrelevancies and get to the core of a problem [1, 2].
Additionally, "How to Solve It" includes a heuristic dictionary with numerous entries that offer methods for making problems more manageable [2]. These methods range from using analogy and induction to the heuristic approach of starting with a goal and working backward to a known point [2]. The book explains how to foster curiosity and engage students' inventive faculties [2].
Synthesized from the book passages below. Chat with the book on Feynman for follow-up.
From the book
Title: How to solve it by George Pólya Description: A perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be “reasoned” out—from building a bridge to winning a game of anagrams. Generations of readers have relished Polya’s deft—indeed, brilliant—instructions on stripping away irrelevancies and going straight to the heart of the problem. --- Google Books…
How to Solve It includes a heuristic dictionary with dozens of entries on how to make problems more manageable—from analogy and induction to the heuristic method of starting with a goal and working backward to something you already know. This disarmingly elementary book explains how to harness curiosity in the classroom, bring the inventive faculties of students into play, and experience the triumph of discovery. But it’s not just for the classroom. Generations of readers from all walks of life have relished Polya’s brilliantly deft instructions on stripping away irrelevancies and going…