Euclid : the creation of mathematics / Benno Artmann.
Pubblicazione:
New York : Springer, 1999.
Descrizione fisica:
XVI, 343 p. : ill. ; 24 cm
Contiene:
Indice: Preface. Notes to the reader. 1. General historical remarks 2. The contents of the Elements. 3.The origin of mathematics I: the testimony of Eudemus 4. Euclid book I 5. The origin of mathematics II: parallels and axioms 6. The origin of mathematics III: Pythagoras of Samos 7. Euclid book II 8. The origin of mathematics IV: squaring the circle 9. Euclid book III 10. The origin of mathematics V: problems and theories 11. Euclid book IV 12. The origin of mathematics VI: the birth of rigor 13. The origin of mathematics VII: polygons after Euclid 14. Euclid book V 15. Euclid book VI 16. The origin of mathematics VIII: be wise, generalize 17 Euclid book VII 18. The origin of mathematics IX: Nicomachus and Diophantus 19. Euclid book VIII 20. The origin of mathematics X: tools and theorems 21. Euclid book IX 22. The origin of mathematics XI: math is beautiful 23. Euclid book X 24. The origin of mathematics XII: incommensurability and irrationality 25. Euclid book XI 26. The origin of mathematics XIII: the role of definitions 27. Euclid book XII 28. The origin of mathematics XIV: the taming of the infinite 29. Euclid book XIII 30. The origin of mathematics XV: symmetry through the ages 31. The origin of mathematics XVI: the origin of the elements. Notes. Bibliography. Index