Description: introduces students to the intrinsic beauty of calculus and the power of its applications. For more than half a century, this text has been revered for its clear and precise explanations, thoughtfully chosen examples, superior figures and time-tested exercise sets.
Table of Contents 1. Functions 2. Limits and Continuity 3. Derivatives 4. Applications of Derivatives 5. Integrals 6. Applications of Definite Integrals 7. Transcendental Functions 8. Techniques of Integration 9. First-Order Differential Equations 10. Infinite Sequences and Series 11. Parametric Equations and Polar Coordinates 12. Vectors and the Geometry of Space 13. Vector-Valued Functions and Motion in Space 14. Partial Derivatives 15. Multiple Integrals 16. Integrals and Vector Fields 17. Second-Order Differential Equations (Online)