Mathematical Analysis
By: [by] Tom M. Apostol.
Edition: 2d ed.
Series: Addison-Wesley Series in Mathematics
Publisher: Addison-Wesley Pub. Co.
Published: 1974
Place of publication: Reading, MA, USA
Language: eng
Format: Hardcover
Number of pages: 492
ISBN-13: 9780201002881
Copyright date: 1974
Subjects: Mathematical analysis
Description: It provides a transition from elementary calculus to advanced courses in real and complex function theory and introduces the reader to some of the abstract thinking that pervades modern analysis.
Notes: Includes bibliographies.
Table of contents: title: 1. The Real and Complex Number Systems. 2. Some Basic Notions of Set Theory. 3. Elements of Point Set Topology. 4. Limits and Continuity. 5. Derivatives. 6. Functions of Bounded Variation and Rectifiable Curves. 7. The Riemann-Stieltjes Integral. 8. Infinite Series and Infinite Products. 9. Sequences of Functions. 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.