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.
Limits and Continuity; Differentiation; Transcendental Functions; More Applications of Differentiation; Integration; Techniques of Integration; Applications of Integration; Conics, Parametric Curves, and Polar Curves; Sequence, Series, and Power Series; Vectors and Coordinate Geometry in 3-Space; Vector Functions and Curves; Partial Differentiation; Applications of Partial Derivatives; Multiple Integration; Vector Fields; Vector Calculus; Differential forms and Exterior Calculus; Ordinary Differential Equations
Appropriate for the three-semester calculus course.