शून्यताJan 31, 2025
There always something to do; with sufficient study and penetration, we could improve any solution, and, in any case, we can always improve our understanding of the solution. (g p) #HowToSolveIt
Petri SalmelaJun 11, 2023
"How to solve it"
24 cm × 33 cm
#Oilpainting #Art
#Mathematics #GeorgePólya #HowToSolveIt
HotweatherisbadNov 23, 2022

Enjoyed #Polya's #HowToSolveIt. Makes me feel really inadequate in some ways - really brilliant guy.

I need to buy some more books now! I'm thinking though next should be to work through some sections of the #wizardbook #SICP Structure and Interpretations of Computer Programming

#TeachYourselfCS

Show threadJon AwbreyNov 23, 2022

@chris_sangwin

Don't know about the “elementary” part but I think I first read about that particular #Heuristic in #Polya's #HowToSolveIt, where he remarks it working especially well in #Proofs by #MathematicalInduction, where it acts to #PrimeThePump of the #InductiveProof.

#Synchronicity being what it is, this came up just the other day in a more general setting ☟

• https://inquiryintoinquiry.com/2022/10/14/abduction-deduction-induction-analogy-inquiry-31/

Abduction, Deduction, Induction, Analogy, Inquiry • 31

Inquiry Into Inquiry
HotweatherisbadNov 19, 2022
I'm working through the 'how to solve it' book and i'm a bit lost about solving this problem - I can do algebra alright but transforming x^4-13x^2+36=0 to (2x^2)^2-2(2x^2)13+144=0 doesn't seem to follow a simple rule of algebra. It's not like simply replacing x with x^2. Anyone help with what I'm missing? #math #maths #teahyourselfcs #algebra #howtosolveit