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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.
Nákup knihy
The Story of Proof, John Stillwell
- Jazyk
- Rok vydania
- 2022
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- (pevná)
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- Titul
- The Story of Proof
- Podtitul
- Logic and the History of Mathematics
- Jazyk
- anglicky
- Autori
- John Stillwell
- Vydavateľ
- Princeton University Press
- Rok vydania
- 2022
- Väzba
- pevná
- Počet strán
- 456
- ISBN13
- 9780691234366
- Kategórie
- Filozofia, Matematika
- Anotácia
- 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.