Tales of impossibility : the 2000-year quest to solve the mathematical problems of antiquity /

A comprehensive look at four of the most famous problems in mathematicsTales of Impossibility recounts the intriguing story of the renowned problems of antiquity, four of the most famous and studied questions in the history of mathematics. First posed by the ancient Greeks, these compass and straigh...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Richeson, David S. (David Scott) (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, New Jersey ; Oxford : Princeton University Press, [2019]
Temas:
Mathematics, Ancient.
Mathématiques anciennes.
MATHEMATICS > History & Philosophy.
Mathematics, Ancient
Antike
Geometrie
Mathematisches Problem
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Preface
  • Introduction
  • Chapter 1. The Four Problems
  • Chapter 2. Proving the Impossible
  • Chapter 3. Compass-and- Straightedge Constructions
  • Chapter 4. The First Mathematical Crisis
  • Chapter 5. Doubling the Cube
  • Chapter 6. The Early History of?
  • Chapter 7. Quadratures
  • Chapter 8. Archimedes's Number
  • Chapter 9. The Heptagon, the Nonagon, and the Other Regular Polygons
  • Chapter 10. Neusis Constructions
  • Chapter 11. Curves
  • Chapter 12. Getting By with Less
  • Chapter 13. The Dawn of Algebra
  • Chapter 14. Viète's Analytic Art
  • Chapter 15. Descartes's Compass-and- Straightedge Arithmetic
  • Chapter 16. Descartes and the Problems of Antiquity
  • Chapter 17. Seventeenth- Century Quadratures of the Circle
  • Chapter 18. Complex Numbers
  • Chapter 19. Gauss's 17-gon
  • Chapter 20. Pierre Wantzel
  • Chapter 21. Irrational and Transcendental Numbers
  • EPILOGUE. Sirens or Muses?
  • Notes
  • References
  • Index.

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