Mathematical analysis

Author(s)

• Apostol, Tom M.

Bibliographic Information

Mathematical analysis

Tom M. Apostol

（Addison-Wesley series in mathematics）

Addison-Wesley, c1974

2nd ed

Note

Previous ed.: 1959

Includes bibliographical references and indexes

Description and Table of Contents

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.

Table of Contents

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.

by "Nielsen BookData"

Details

• NCID: BA1389527X
• ISBN:
  • 0201002884
• LCCN: 72011473
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Reading, Mass. ; London
• Pages/Volumes: xvii, 492 p.
• Size: 25 cm
• Classification:
  • LCC : QA303
  • UDC : 517
  • DC19 : 515
• Subject Headings:
  • PRECIS : Calculus
  • LCSH : Calculus
• Parent Bibliography ID:
  • BA00319946