Apostol, Tom M.

Mathematical Analysis / Tom M. Apostol - 2nd ed. - London : Addison, 1974 - xvii, 492 p.

Includes bibliographies

1. The real and complex number system
2. Some basic notions of sets theory
3. Elements of point set topology
4. Limits and continuity
5. Derivatives
6. Functions of bounded variation and rectifiable curves
7. The reimann-stieltjes integral
8. Infinite series and infinite products
9. Sequences of function
10. The lebesgue integral
11. Fourier series and Fourier integrals
12. Multivariable differential calculus
13. Implicit functions and extremum problems
14. Multiple Riemann integrals
15. Multiple lebesgue integrals
16. Cauchy’s theorem and the residue calculus




9780201002881


Mathematical analysis

515 / Ap46