Mathematical Analysis - Tom Apostol

Mathematical Analysis

A Modern Approach to Advanced Calculus

(Autor)

Buch | Softcover
512 Seiten
1974 | 2nd edition
Pearson (Verlag)
978-0-201-00288-1 (ISBN)
103,70 inkl. MwSt
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.

 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.

Erscheint lt. Verlag 1.1.1974
Sprache englisch
Maße 100 x 100 mm
Gewicht 100 g
Themenwelt Mathematik / Informatik Mathematik Analysis
ISBN-10 0-201-00288-4 / 0201002884
ISBN-13 978-0-201-00288-1 / 9780201002881
Zustand Neuware
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