Advanced calculus an introduction to analysis - Fulks, Watson (New York John Wiley & Sons, 1961)
pt. I. Calculus of one variable -- 1. The number system -- 2. Functions, sequences, and limits -- 3. Continuity and differentiability -- 4. Integration -- 5. The elementary transcendental functions -- 6. Limits and continuity -- 7. Properties of differentiable functions -- pt. II. Vector calculus -- 8. Vectors and curves -- 9. Functions of several variables. Limits and continuity -- 10. Differentiable functions -- 11. Transformations and implicit functions. Extreme values -- 12. Multiple integrals -- 13. Line and surface integrals -- pt. III. Theory of convergence -- 14. Infinite series -- 15. Sequences and series of functions. Uniform convergence -- 16. The Taylor series -- 17. Improper integrals -- 18. Integral representations of functions -- 19. Gamma and beta functions. Laplace's method and Stirling's formula -- Fourier series.
Keywords: Calculus; Mathematical analysis