Mathematical Analysis – Tom Apostol – 2nd Edition


In this new edition, of a more modern spirit than the first excellent one, one can repeat the praise that was made previously: its precise and rigorous style, in a program balanced but sufficiently broad, gives character of basic text.
It contains topics such as the system of real numbers and complex numbers; Some basic notions of set theory; Elements of topology in sets of points; Limits and continuity; Derivatives; Functions of bounded variation and rectifiable curves; The Riemann-Stieltjes integral; Infinite series and infinite products; Inheritance of functions; The Lebesgue integral; Fourier series and Fourier integrals; Differential calculation of several variables. Implicit functions and extreme problems; Multiple integrals of Riemann; Multiple Lebesgue integrals; Cauchy’s theorem and residual calculus.

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  • The system of real numbers and complex numbers
    Some Basics of Set Theory
    Topology elements in point sets
    Limits and continuity
    Functions of bounded variation and rectifiable curves
    The Riemann Stieltjes Integral
    Infinite series and infinite products
    Functional successions
    The Lebesgue integral
    Fourier series and Fourier integrals
    Implicit functions and extreme problems
    The inverse function theorem
    Conditioned End Issues
    Multiple Lebesgue integrals
    Cauchy Theorem and Residual Calculus
  • Citation
    • Full Title: Mathematical Analysis
    • Author/s:
    • ISBN-13: 9788429150049
    • Edition: 2nd Edition
    • Topic: Math
    • Subtopic: Mathematics
    • File Type: Solution Manual
    • Idioma: English

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