The way this book differs from an ordinary “encyclopedicstyle”
textbook is twofold. One, it is much shorter since we cover
only those ideas that are central to an understanding of the
calculus of a real-valued function of a single real-variable. The
shortness is also due to a lack of hundreds upon hundreds of skillbuilding
exercises—very necessary if one wants to become totally
competent in a new area of learning. However, a minimal set of
exercises (about 200 in all) is provided to insure that the reader
can verify understanding through doing. Two, as stated by the title,
this is a calculus book that minimizes its logical dependence on
the limit concept. |