Contemporary calculus instructors and students face traditional challenges as well as new ones that result from changes in the role and practice of mathematics by scientists and engineers in the world at large. As a consequence, this sixth edition of our calculus textbook is its most extensive revision since the first edition appeared in 1982.

This revision is nearly a new book—yet it retains the accuracy, mathematical precision, and rigor appropriate that it is known for. This book contains an entire six chapters on early transcendental calculus and a completely new chapter on differential equations and their applications. For professionals who want to brush up on their calculus skills.

Two entire chapters of the fifth edition have disappeared from the table of contents and an entirely new chapter now appears there. Most of the remaining chapters have been extensively rewritten.

2. Prelude to Calculus

3. The Derivative

4. Additional Applications of the Derivative

5. The Integral

6. Applications of the Integral

7. Techniques of Integration

8. Differential Equations

9. Polar Coordinates and Parametric Curves

10. Infinite Series

11. Vectors, Curves, and Surfaces in Space

12. Partial Differentiation

13. Multiple Integrals

14. Vector Calculus.

REVIEW

Wendy Traeger

Wendy Traeger