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An Introduction to Classical Real Analysis (Hardcover)
Loot Price: R1,831
Discovery Miles 18 310
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An Introduction to Classical Real Analysis (Hardcover)
Series: AMS Chelsea Publishing
Expected to ship within 12 - 17 working days
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This classic book is a text for a standard introductory course in
real analysis, covering sequences and series, limits and
continuity, differentiation, elementary transcendental functions,
integration, infinite series and products, and trigonometric
series. The author has scrupulously avoided any presumption at all
that the reader has any knowledge of mathematical concepts until
they are formally presented in the book. One significant way in
which this book differs from other texts at this level is that the
integral which is first mentioned is the Lebesgue integral on the
real line. There are at least three good reasons for doing this.
First, this approach is no more difficult to understand than is the
traditional theory of the Riemann integral. Second, the readers
will profit from acquiring a thorough understanding of Lebesgue
integration on Euclidean spaces before they enter into a study of
abstract measure theory. Third, this is the integral that is most
useful to current applied mathematicians and theoretical
scientists, and is essential for any serious work with
trigonometric series. The exercise sets are a particularly
attractive feature of this book. A great many of the exercises are
projects of many parts which, when completed in the order given,
lead the student by easy stages to important and interesting
results. Many of the exercises are supplied with copious hints.
This new printing contains a large number of corrections and a
short author biography as well as a list of selected publications
of the author.
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