A short calculus : an applied approach /
Daniel Saltz
- Revised edition
- Pacific Palisades, California : Goodyear Publishing Company, Inc., c1974
- xii, 432 pages : illustrations ; 23 cm.
Includes index.
1. Functions and graphs -- 2. Limits the derivative -- 3. Applications of the derivative -- 4. The integral as an area -- 5. Sequences, exponential and logarithmic functions -- 6. More on integration -- 7. Taylor polynomials and series -- 8. Multivariable calculus -- 9. The trigonometric functions.
This book is meant to introduce some of the important concepts and methods found in calculus, and to indicate how these concepts can be used in constructing mathematical models in such areas as economics, the life sciences, and psychology. To keep on the mainstream of the general ideas of calculus, attention is restricted in the early chapters to those functions that are obtained by taking powers and roots of ratios of polynomial functions, together with exponential and logarithmic functions. Once these basic concepts are understood for these functions, it is not difficult to extend them to the trigonometric functions, and this is precisely what is done in the last chapter.