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Mathematical Analysis Second Edition by Tom Apostol ISBN 978-0201002881 0201002884

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Mathematical Analysis Second Edition Tom M. Apostol Digital Instant Download

Author(s): Tom M. Apostol
ISBN(s): 9780201002843, 0201002841
Edition: 2, 2004 reprint
File Details: PDF, 7.82 MB
Year: 2004
Language: english
SKU: EB-12302954 Category: Tag:

Mathematical Analysis Second Edition by Tom M. Apostol  – Ebook PDF Instant Download/Delivery: 978-0201002881, 0201002884
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Product details: 

ISBN 10: 0201002884

ISBN 13: 978-0201002881

Author: Tom M. Apostol 

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

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Tags: Tom Apostol, Mathematical Analysis