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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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Erscheinungsdatum
2022
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Titel
The Story of Proof
Untertitel
Logic and the History of Mathematics
Sprache
Englisch
Autor*innen
John Stillwell
Erscheinungsdatum
2022
Einband
Hardcover
Seitenzahl
456
ISBN13
9780691234366
Reihe
Bewertung
4,15 von 5 Sternen
Beschreibung
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.