Mathematical Analysis: A Modern Approach to Advanced Calculus

Series
Addison-Wesley
Author
Tom M. Apostol  
Publisher
Pearson
Cover
Softcover
Edition
2
Language
English
Total pages
512
Pub.-date
January 1974
ISBN13
9780201002881
ISBN
0201002884
Related Titles


Product detail

Product Price CHF Available  
9780201002881
Mathematical Analysis: A Modern Approach to Advanced Calculus
155.40 approx. 7-9 days

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.