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Mathematics and Plausible Reasoning, Volume 1

Induction and Analogy in Mathematics

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Focusing on the art of plausible reasoning, this guide emphasizes the significance of intuition and guesswork in problem-solving, particularly within mathematics. Professor Polya illustrates how effective guessing can often surpass strict deductive methods in finding solutions. The first volume delves into induction and analogy, exploring various mathematical challenges while highlighting thought processes that lead to solutions, identifying common pitfalls, and discussing proof techniques. Engaging problems stimulate curiosity and foster inventive thinking.

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Mathematics and Plausible Reasoning, Volume 1, G. Polya, György Pólya

Taal
Jaar van publicatie
2011
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Titel
Mathematics and Plausible Reasoning, Volume 1
Ondertitel
Induction and Analogy in Mathematics
Taal
Engels
Jaar van publicatie
2011
Formaat
Paperback
Aantal pagina's
298
ISBN13
9780691025094
Beoordeling
4,4 van 5
Aantekening
Focusing on the art of plausible reasoning, this guide emphasizes the significance of intuition and guesswork in problem-solving, particularly within mathematics. Professor Polya illustrates how effective guessing can often surpass strict deductive methods in finding solutions. The first volume delves into induction and analogy, exploring various mathematical challenges while highlighting thought processes that lead to solutions, identifying common pitfalls, and discussing proof techniques. Engaging problems stimulate curiosity and foster inventive thinking.