Calculus:A Complete Course Plus MathXL 24-month Student Access Kit

Robert Adams joined the Mathematics Department at the University of British Columbia in 1966 after completing a Ph.D. in Mathematics at the University of Toronto. His research interests in analysis led to the 1975 publication of a monograph, Sobolev Spaces, by Academic Press. It remained in print for 23 years. A second edition, joint with his colleague Professor John Fournier, was published in 2003. Professor Adams's teaching interests led to the 1982 publication of the first of his many calculus texts by Addison Wesley. These texts are now used worldwide. With a keen interest in computers, mathematical typesetting, and illustration. In 1984 Professor Adams became the first Canadian author to typeset his own textbooks using TeX on a personal computer. Since then he has also done all the illustrations for his books using the MG software program that he developed with his colleague, Professor Robert Israel. Now retired from UBC, Professor Adams is currently engaged in preparing the seventh editions of his textbooks and pursuing his interest in the Linux operating system. Dr. Christopher Essex. is Director, Program in Theoretical Physics, and Professor of Applied Mathematics, Department of Applied Mathematics at the University of Western Ontario.

Preface To the Student To the Instructor Acknowledgements What Is Calculus? Preliminaries Chapter 1: Limits and Continuity Chapter 2: Differentiation Chapter 3: Transcendental Functions Chapter 4: Some Applications of Derivatives Chapter 5: Integration Chapter 6: Techniques of Integration Chapter 7: Applications of Integration Chapter 8: Conics, Parametric Curves, and Polar Curves Chapter 9: Sequences, Series, and Power Series Chapter 10: Vectors and Coordinate Geometry in 3-Space Chapter 11: Vector Functions and Curves Chapter 12: Partial Differentiation Chapter 13: Applications of Partial Derivatives Chapter 14: Multiple Integration Chapter 15: Vector Fields Chapter 16: Vector Calculus Chapter 17: Ordinary Differential Equations Answers to Odd-Numbered Exercises Appendix I: Complex Numbers Appendix II: Complex Functions Appendix III: Continuous Functions Appendix IV: The Riemann Integral Appendix V: Doing Calculus with Maple Index