This book assumes the students know some of the basic facts about
Calculus. We are very rigorous and expose them to the proofs and
the ideas which produce them. In three chapters, this book covers
these number systems and the material usually found in a
junior-senior advanced Calculus course. It is designed to be a
one-semester course for "talented" freshmen. Moreover, it presents
a way of thinking about mathematics that will make it much easier
to learn more of this subject and be a good preparation for more of
the undergraduate curriculum.
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