Calculus (7th ed )

Proven in North America and abroad, this classic text has earned a reputation for excellent accuracy and mathematical rigour. Previous editions have been praised for providing complete and precise statements of theorems, using geometric reasoning in applied problems, and for offering a range of applications across the sciences. Written in a clear, coherent, and readable form, Calculus: Several Variables makes student comprehension a clear priority.

This seventh edition features a new co-author, Dr. Christopher Essex, who has been invited to contribute his unique style and approach to the subject material. Instructors and students will appreciate revised exercises, greater emphasis on differential equations, and new pedagogical features.

Preface
To the Student
To the Instructor
Acknowledgements
What Is Calculus?
A Brief Review of Single Variable
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