Synopses & Reviews
This edition of the highly successful textbook contains an even wider variety of authentic applications to motivate the study of mathematical topics. The number of medium-level and challenging problems has been greatly increased to develop problem-solving skills. Features an expanded use of technology and a greater emphasis on visualization. New to this version: 130+ figures, an introductory section which covers basic terminology and concepts of differential equations, a chapter on conic sections, polar coordinates and parametric equations.
Table of Contents
Limits and Continuity.
Differentiation.
The Mean-Value Theorem and Applications.
Integration.
Some Applications of the Integral.
The Transcendental Functions.
Techniques of Integration.
Conic Sections; Polar Coordinates; Parametric Equations.
Sequences; Indeterminate Forms; Improper Integrals.
Infinite Series.
Vectors.
Vector Calculus.
Functions of Several Variables.
Gradients; Extreme Values; Differentials.
Double and Triple Integrals.
Line Integrals and Surface Integrals.
Elementary Differential Equations.
Appendices.
Answers to Odd-Numbered Exercises.
Index.
Table of Integrals.