The Fundamental Theorems of the Differential Calculus

Originally published in 1910, this book deals with differential calculus and its underlying structures.

W. H. Young (Author)

9781107493629, Cambridge University Press

Paperback / softback, published 26 March 2015

84 pages
21.6 x 14 x 0.5 cm, 0.12 kg

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.

Subject Areas: History of engineering & technology [TBX]