Mathematical Analysis: A Modern Approach to Advanced Calculus

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Addison-Wesley Publishing Company, 1957 - Calculus - 553 pages
The real and complex number systems -- Some basic notions of set theory -- Elements of point set theory -- The limit concept and continuity -- Differentiation of functions of one real variable -- Differentiation of functions of several variables -- Applications of partial differentiation -- Functions of bounded variation, rectifiable curves and connected sets -- Theory of Riemann-Stieltjes integration -- Multiple integrals and line integrals -- vector analysis -- Infinite series and infinite products -- Sequences of functions -- Improper Riemann-Stieltjes integrals -- Fourier series and Fourier integrals -- Cauchy's theorem and the residue calculus.

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Contents

THE REAL AND COMPLEX NUMBER SYSTEMS
1
THE LIMIT CONCEPT AND CONTINUITY
4
SOME BASIC NOTIONS OF SET THEORY
24
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