This textbook features applications including a proof of the
Fundamental Theorem of Algebra, space filling curves, and the
theory of irrational numbers. In addition to the standard results
of advanced calculus, the book contains several interesting
applications of these results. The text is intended to form a
bridge between calculus and analysis. It is based on the authors
lecture notes used and revised nearly every year over the last
decade. The book contains numerous illustrations and cross
references throughout, as well as exercises with solutions at the
end of each section.
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