The eighth edition of Calculus is a modest revision in content, more substantial in the line by line details. Users of previous editions have reported grest success and we have no desire to overhaul a workable text.
Classifiers of calaulus books would call this a traditional book. Most theorems are proved or left as exercises to prove; when the proof is too deep for a beginning calculus course, we say so, and in many cases we give an aegument to at least make the result plausible. Theorems are stated with all conditions clearly spelled out. Through additional problems and projects, we make more use of available technology, such as graphing calculators and computer algebra system, bot the focus is still on understanding the concepts of calculus. While many revisionists see the emphasis on clear, rigorous presentation to the understanding of the concepts of calculus, we see the two as complementary.
1. Preliminaries
2. Functions and Limits
3. The Derivative
4. Applications of the Derivative
5. The Integral
6. Applications of the Integral
7. Transcendental Functions
8. Techniques of Ingeration
9. Indeterminate Forms and Improper Integrals
10. Infinite Seies
etc.