This textbook provides a gentle overview of fundamental concepts related to one-variable
calculus. The original approach is a result of the author's forty years of experience in
teaching the subject at universities around the world. In this book Dr. Zalduendo makes use of
the history of mathematics and a friendly conversational approach to attract the attention of
the student emphasizing what is more conceptually relevant and putting key notions in a
historical perspective. Such an approach was conceived to help them to overcome potential
difficulties in teaching and learning of this subject - caused in many cases by an excess of
technicalities and computations. Besides covering the core of the discipline - real number
sequences and series functions derivatives integrals convexity and inequalities - the book
is enriched by side trips to relevant subjects not usually seen in traditional calculus
textbooks touching on topics like curvature theisoperimetric inequality Riemann's
rearrangement theorem Snell's law Buffon's needle problem Gregory's series random walk and
the Gauss curve and more. An insightful collection of exercises and applications completes
this book making it ideal as a supplementary textbook for a calculus course or the main
textbook for an honors course on the subject.
