Description
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: A Complete Course makes student comprehension a clear priority.

Table of Contents
Front Matter

Chapter P: Preliminaries

Chapter 1: Limits and Continuity

Chapter 2: Differentiation

Chapter 3: Transcendental Functions

Chapter 4: More Applications of Differentiation

Chapter 5: Integration

Chapter 6: Techniques of Integration

Chapter 7: Applications of Integration

Chapter 8: Conics, Parametric Curves, and Polar Curves

Chapter 9: Sequence, 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: Differential forms and Exterior Calculus

Chapter 18: Ordinary Differential Equations

Appendix 1

Appendix 2

Appendix 3

Appendix 4

Appendix 5

Answers to Odd Numbered Exercises

Index