books > Calculus This short introductory text focuses mainly on
integration and differentiation of functions of a single
variable, although iterated integrals are discussed.
Infinitesimals are used when appropriate, and are treated more
rigorously than in old books like Thompson's Calculus Made Easy,
but in less detail than in Keisler's Elementary Calculus: An
Approach Using Infinitesimals. Numerical examples are given
using the open-source computer algebra system Yacas, and Yacas
is also used sometimes to cut down on the drudgery of symbolic
techniques such as partial fractions. Proofs are given for all
important results, but are often relegated to the back of the
book, and the emphasis is on teaching the techniques of calculus
rather than on abstract results. The book is designed more for
self-study than for classroom use; full solutions are given for
nearly all the end-of-chapter problems. - download in Adobe
Acrobat format - View the HTML version (good for casual
browsing, but not printer-friendly). - epu