Basic calculus : from Archimedes to Newton to its role in science
Alexander J. Hahn.
New York : Springer, ©1998.
xiv, 545 págs. : ilustraciones ; 26 cm.
Serie: Textbooks in mathematical sciences
ISBN: 0387946063
Incluye referencias bibliográficas.
Contenido
- Part I, From Archimedes to Newton: 1. The Greeks measure the universe
- 2. Ptolemy and the dynamics of the universe
- 3. Archimedes computes areas
- 4. A new astronomy and a new geometry
- 5. The calculus of Leibniz
- 6. The calculus of Newton
- 7. The Principia.
- Part II, Calculus and the sciences: 8. Analysis of functions
- 9. Connections with statics, dynamics, and optics
- 10. Basic functions and their graphs
- 11. The exponential function and the measurement of age and growth
- 12. The calculus of economics
- 13. Integral calculus: meaning and method
- 14. Integral calculus and the action of forces.
