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The Story of Proof

Logic and the History of Mathematics

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Exploring the evolution of proof, this book highlights its crucial role in shaping mathematical knowledge from ancient to modern times. It traces the journey from Euclid's geometry to the development of algebra and calculus, illustrating how proof methods have transformed. The discussion extends to number theory, non-Euclidean geometry, and logic, revealing the profound implications of proof on arithmetic and the limitations it imposes on theorem validation. Through historical episodes, it provides a fresh perspective on mathematics' foundational principles and its capacity for innovation.

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The Story of Proof, John Stillwell

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Publicado en
2022
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32,99 €

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Título
The Story of Proof
Subtítulo
Logic and the History of Mathematics
Idioma
Inglés
Publicado en
2022
Formato
Tapa dura
Páginas
456
ISBN13
9780691234366
Serie
Calificación
4,15 de 5
Descripción
Exploring the evolution of proof, this book highlights its crucial role in shaping mathematical knowledge from ancient to modern times. It traces the journey from Euclid's geometry to the development of algebra and calculus, illustrating how proof methods have transformed. The discussion extends to number theory, non-Euclidean geometry, and logic, revealing the profound implications of proof on arithmetic and the limitations it imposes on theorem validation. Through historical episodes, it provides a fresh perspective on mathematics' foundational principles and its capacity for innovation.