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Mathematical Analysis (Hardcover)
Loot Price: R1,709
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Mathematical Analysis (Hardcover)
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This book is intended to serve as a text in mathematical analysis
for undergraduate and postgraduate students. It opens with a brief
outline of the essential properties of rational numbers using
Dedekind's cut, and the properties of real numbers are established.
This foundation supports the subsequent chapters. The material of
some of topics - real sequences and series, continuity, functions
of several variables, elementary and implicit functions, Riemann
and Riemann-Stieltjes integrals, Lebesgue integrals, line and
surface Integrals, double and triple integrals are discussed in
detail. Uniform convergence, Power series, Fourier series, and
Improper integrals have been presented in a simple and lucid
manner. A large number of solved examples taken mostly from lecture
notes make the book useful for the students. A chapter on Metric
Spaces discussing completeness, compactness and connectedness of
the spaces and two appendices discussing Beta-Gamma functions and
Cantor's theory of real numbers add glory to the contents of the
book.
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