Calculus Multivariable, 9th Edition
ISBN: 9780470183465 | 0470183462
Edition: 9thFormat: Hardcover
Publisher: Wiley
Pub. Date: 3/1/2009
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The ninth edition continues to provide engineers with an accessible resource for learning calculus. The book includes carefully worked examples and special problem types that help improve comprehension. New applied exercises demonstrate the usefulness of the mathematics. Additional summary tables with step-by-step details are also incorporated into the chapters to make the concepts easier to understand. The Quick Check and Focus on Concepts exercises have been updated as well. Engineers become engaged in the material because of the easy-to-read... MORE
| Three-Dimensional Space; Vectors | |
| Rectangular Coordinates in 3-Space; Spheres; Cylindrical Surfaces | |
| Vectors | |
| Dot Product; Projections | |
| Cross Product | |
| Parametric Equations of Lines | |
| Planes in 3-Space | |
| Quadric Surfaces | |
| Cylindrical and Spherical Coordinates | |
| Vector-Valued Functions | |
| In... MORE | |
| Calculus of Vector-Valued Functions | |
| Change of Parameter; Arc Length | |
| Unit Tangent, Normal, and Binormal Vectors | |
| Curvature | |
| Motion Along a Curve | |
| Kepler's Laws of Planetary Motion | |
| Partial Derivatives | |
| Functions of Two or More Variables | |
| Limits and Continuity | |
| Partial Derivatives | |
| Differentiability, Differentials, and Local Linearity | |
| The Chain Rule | |
| Directional Derivatives and Gradients | |
| Tangent Planes and Normal Vectors | |
| Maxima and Minima of Functions of Two Variables | |
| Lagrange Multipliers | |
| Multiple Integrals | |
| Double Integrals | |
| Double Integrals over Nonrectangular Regions | |
| Double Integrals in Polar Coordinates | |
| Surface Area; Parametric Surfaces} | |
| Triple Integrals | |
| Triple Integrals in Cylindrical and Spherical Coordinates | |
| Change of Variable in Multiple Integrals; Jacobians | |
| Centers of Gravity Using Multiple Integrals | |
| Topics in Vector Calculus | |
| Vector Fields | |
| Line Integrals | |
| Independence of Path; Conservative Vector Fields | |
| Green's Theorem | |
| Surface Integrals | |
| Applications of Surface Integrals; Flux | |
| The Divergence Theorem | |
| Stokes' Theorem | |
| Appendix [order of sections TBD] | |
| Graphing Functions Using Calculators and Computer Algebra Systems | |
| Trigonometry Review | |
| Solving Polynomial Equations | |
| Mathematical Models | |
| Selected Proofs | |
| Web Appendices | |
| amp;#160; Real Numbers, Intervals, and Inequalities | |
| Absolute Value | |
| Coordinate Planes, Lines, and Linear Functions | |
| Distance, Circles, and Quadratic Functions | |
| Second-Order Linear Homogeneous Differential Equations; The Vibrating String | |
| The Discriminant | |
| Answers | |
| Photocredits | |
| Index | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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