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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

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Publicado en
2011
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Título
Mathematics and Plausible Reasoning, Volume 1
Subtítulo
Induction and Analogy in Mathematics
Idioma
Inglés
Publicado en
2011
Formato
Tapa blanda
Páginas
298
ISBN13
9780691025094
Calificación
4,4 de 5
Descripción
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.