Redefining geometrical exactness : Descartes' transformation of the early modern concept of construction / Henk J.M. Bos.
Pubblicazione:
New York : Springer, 2001.
Descrizione fisica:
XVII, 470 p. : ill. ; 24 cm
Serie:
Sources and studies in the history of mathematics and physical sciences
Contiene:
Indice: 1. General introduction 2. The legitimation of geometrical procedures before 1590 3. 1588: Pappus collection 4. The early modern tradition of geometrical problem solving, survey and examples 5. Early modern methods of analysis 6. Arithmetic, geometry, algebra and analysis 7. Using numbers in geometry: Regiomontanus and Stevin 8. Using algebra: Viete's analysis 9. Clavius 10. Viète 11. Kepler 12. Molther 13. Fermat 14. Geomatrical problem solving: the state of the art c. 1635 15. Introduction to part II 16. Constructing and the interpretation of exactness in Descartes' studies of c. 1619 17. Descartes' general construction of solid problems (c. 1625) 18. Problem solving and construction in the rules for the direction of the mind (c. 1628) 19. Descartes first studies of Pappus problem (early 1632) 20. The Geometry, introduction and survey 21. Algebraic operations in geometry 22. The use of algebra in solving plane and indeterminate problems 23. Descartes' solution of Pappus' problem 24. Curves and the demarcation of geometry in the Geometry 25. Simplicity and the classification of curves 26. The canon of geometrical construction 27. The theory of equations in the Geometry 28. Conclusion of part II 29. Epilogue. List of problems. Bibliography. Name index. Subject index
