Preface Objectives of This Book - To teach calculus as a laboratory
science, with the computer and software as the lab, and to use this lab
as an essential tool in learning and using calculus. - To present
calculus and elementary differential equations with a minimum of
fuss-through practice, not theory. - To stress ideas of calculus,
applications, and problem solving, rather than definitions, theorems,
and proofs. - Toemphasize numerical aspects: approximations, order of
magnitude, concrete answers to problems. - To organize the topics
consistent with the needs of students in their concurrent science and
engineering courses. The subject matter of calculus courses has
developed over many years, much by negotiation with the disciplines
calculus serves, particularly engineering. This text covers the standard
topics in their conventional order. Mostly because of commercial
pressures, calculus texts have grown larger and larger, trying to
include everything that anyone conceivably would cover. Calculus texts
have also added more and more expensive pizzazz, up to four colors now.
This text is lean; it eliminates most of the "fat" of recent calculus
texts; it has a simple physical black/white format; it ignores much of
current calculus "culture". The computer has forced basic changes in
emphasis and how to teach calculus.