Dale Varberg, Hamline University
Edwin J. Purcell, (Deceased) University of Arizona
Steven E. Rigdon, Southern Illinois University, Edwardsville
Published September, 1999 by Prentice Hall Engineering/Science/Mathematics
Copyright 2000, 864 pp.
Sign up for future
mailings on this subject.
See other books about:
For freshman/sophomore-level courses treating calculus of
both one and several variables.
While it covers all the material needed by students in engineering,
science, and mathematics, this calculus text remains the shortest
mainstream calculus book availableideal for instructors who
want a no-nonsense, concisely written text. The authors make effective
use of computing technology, graphics, and applications. At least
two technology projects are presented in each chapter. This popular
book is accurate without being excessively rigorous and up-to-date
without being faddish.
NEWHundreds of new problemsIncludes
problems on approximations, functions defined by tables, and conceptual
NEWDifferential equations now integrated
throughout the single variable part of the textEuler's Method
and slope fields are now covered; second order differential equations
are retained in a separate chapter at the end of the text.
NEWBetter organized chapter layoutNow,
Chapter 10 on infinite series precedes the chapter on numerical methods.
The section on Taylor polynomials follows immediately after Taylor
series. Also, Newton's method can be seen as an algorithm that usually
yields a convergent sequence.
NEWNew technology projectsAn
additional technology project has been added to each chapter, making
two total per chapter. Two have been added to Chapter 11.
NEWStudent Website free to adoptersEvery
example in the text that has a figure or piece of geometry is animated
and contains questions about the animations. Extensive links to calculus
materials on the Internet from around the world are found for each
section of the text. True/false quizzes offer a verbal counterpart
to the usual problem solving students undertake and drive students
to actually read the text.
- With their placement at the end of each chapter, professors
are given maximum flexibility in choosing the level of technology
for their course.
NEWFunctions defined as area under a curve,
called accumulation functions, are emphasized.
Short, sweet, and wonderfully traditionalThis
text stands alone with its simple, no-nonsense approach.
- The First Fundamental Theorem of Calculus can then be
interpreted as saying that the rate of change in accumulated area
is equal to the function being accumulated.
Emphasis on estimation throughout the textAs
a way of avoiding or correcting mistakes.
Emphasis on explanation rather than on detailed proofsThough
many proofs can be found in the Appendix.
- Helps students recognize absurd answers and rework problems.
Adds to the conceptual understanding of calculus.
Fill-in-the-blank items entitled Concepts ReviewProvided
at the beginning of every problem set to build a strong conceptual
foundation. Answers are recorded at the end of the problem set to
provide immediate feedback.
- Tests mastery of basic vocabulary, understanding of theorems,
and ability to apply concepts in the simplest of settings.
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 Integration.
9. Indeterminate Forms and Improper Integrals.
10. Infinite Series.
11. Numerical Methods, Approximations.
12. Conics and Polar Coordinates.
13. Geometry in the Plane, Vectors.
14. Geometry in Space, Vectors.
15. The Derivative in n-Space.
16. The Integral in n-Space.
17. Vector Calculus.
18. Differential Equations.
Appendix: Mathematical Induction.
Appendix: Proofs of Several Theorems.
A Backward Look.
Answers to Odd-Numbered Problems.