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Mathematical Analysis: A Modern Approach to Advanced Calculus de Tom M. Apostol

Mathematical Analysis: A Modern Approach to Advanced Calculus

Autor Tom M. Apostol
en Limba Engleză Paperback – 31 dec 1973
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.
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Specificații

ISBN-13: 9780201002881
ISBN-10: 0201002884
Pagini: 492
Dimensiuni: 161 x 245 x 24 mm
Greutate: 0.8 kg
Ediția:Nouă
Editura: Pearson
Locul publicării:Upper Saddle River, United States

Cuprins



 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.

Descriere

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.