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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Real analysis
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A First Course in Real Analysis (Paperback, Softcover reprint of the original 1st ed. 1994)
Loot Price: R1,545
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A First Course in Real Analysis (Paperback, Softcover reprint of the original 1st ed. 1994)
Series: Undergraduate Texts in Mathematics
Expected to ship within 10 - 15 working days
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Mathematics is the music of science, and real analysis is the Bach
of mathematics. There are many other foolish things I could say
about the subject of this book, but the foregoing will give the
reader an idea of where my heart lies. The present book was written
to support a first course in real analysis, normally taken after a
year of elementary calculus. Real analysis is, roughly speaking,
the modern setting for Calculus, "real" alluding to the field of
real numbers that underlies it all. At center stage are functions,
defined and taking values in sets of real numbers or in sets (the
plane, 3-space, etc.) readily derived from the real numbers; a
first course in real analysis traditionally places the emphasis on
real-valued functions defined on sets of real numbers. The agenda
for the course: (1) start with the axioms for the field ofreal
numbers, (2) build, in one semester and with appropriate rigor, the
foun dations of calculus (including the "Fundamental Theorem"),
and, along the way, (3) develop those skills and attitudes that
enable us to continue learning mathematics on our own. Three
decades of experience with the exercise have not diminished my
astonishment that it can be done.
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