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MATHEMATICAL ANALYSIS
A MODERN APPROACH TO ADVANCED CALCULUS

Tom M. Apostol

MATHEMATICAL ANALYSIS
A MODERN APPROACH TO ADVANCED CALCULUS

LCCCΝ: 57-8707

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Σειρά:

Analysis

Addison-Wesley

576

17 x 24

Σκληρό

1963

Αγγλικά

Addison-Wesley Serins in Mathematics

Contents:

  1. The real and complex number systems

  2. Some basic notions of set theory

  3. Elements of point set theory

  4. The limit concept and continuity

  5. Differentiation of functions of one real variable

  6. Differentiation of functions of one several variables

  7. Applications of partial differentiation

  8. Functions of bounded variation, rectifiable curves and connected sets

  9. Theory of Riemann-Stieltzes integration

  10. Multiple integrals and line integrals

  11. Vector analysis

  12. Infinite series and infinite products

  13. Sequences of functions

  14. Improper Riemann-Stieltzes integrals

  15. Fourier series and fourier integrals

  16. Cauchy’s theorem and the residue calculus

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