The Fundamental Theorems of the Differential Calculus Cambridge Tracts in Mathematics Series

Originally published in 1910 as number eleven in the Cambridge Tracts in Mathematics and Mathematical Physics series, this book deals with differential calculus and its underlying structures. Appendices on further reading and clarification of certain points are also included. This tract will be of value to anyone with an interest in the history of mathematics or calculus.

Preface; 1. Preliminary notions; 2. Limits; 3. Continuity and semi-continuity; 4. Differentiation; 5. Indeterminate forms; 6. Maxima and minima; 7. The theorem of the mean; 8. Partial differentiation and differentials; 9. Maxima and minima for more than one variable; 10. Extensions of the theorem of the mean; 11. Implicit functions; 12. On the reversibility of the order of partial differentiation; 13. Power series; 14. Taylor's theorem; Appendices.