George Pólya - How to Solve It - 1945
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Created: June 11, 2016 / Updated: November 2, 2024 / Status: in progress / 2 min read (~265 words)
Created: June 11, 2016 / Updated: November 2, 2024 / Status: in progress / 2 min read (~265 words)
- Analogy
- Auxiliary elements: An element that we introduce in the hope that it will further the solution
- Bright idea
- Can you check the result?
- Can you derive the result differently?
- Can you use the result?
- Carrying out
- Condition
- Contradictory
- Corollary
- Could you derive something useful from the data?
- Could you restate the problem?
- Decomposition and recombining
- Definition
- Determination, hope, success
- Diagnosis
- Did you use all the data?
- Do you know a related problem?
- Draw a figure
- Examine your guess
- Figures
- Generalization
- Have you seen it before?
- Here is a problem to yours and solved before
- Heuristic
- Heuristic reasoning
- If you cannot solve the proposed problem
- Induction and mathematical induction
- Inventor's paradox
- Is it possible to satisfy the condition?
- Lemma
- Look at the unknown
- Modern heuristic
- Notation
- Pedantry and mastery
- Practical problems
- Problems to find, problems to prove
- Progress and achievement
- Puzzles
- Reductio ad absurdum and indirect proof
- Redundant
- Routine problem
- Rule of discovery
- Rule of style
- Rule of teaching
- Separate the various parts of the condition
- Setting up equations
- Signs of progress
- Specialization
- Subconscious work
- Symmetry
- Terms, old and new
- Test by dimension
- Variation of the problem
- What is the unknown?
- Working backwards