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