Calculus: one-variable calculus, with an introduction to linear algebra/
Tom M. Apostol
- 2nd ed.
- New Delhi: Wiley, 2006.
- V.1, xx, 666 p. paperback
1. Historical introduction 2. Some Basic concepts of the theory of sets 3. A set of axioms for the real-number system 4. Differential calculus 5. The relation between integration and differentiation 6. The logarithm, the exponential and the inverse trigonometric functions 7. polynomial approximations to functions 8. Introduction to differential wquations 9. Complex numbers 10. Sequences, infinite series improper integrals