Calculus Multivariable
ISBN: 9780547209975 | 0547209975
Edition: 9thFormat: Hardcover
Publisher: Cengage Learning
Pub. Date: 1/14/2009
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The Larson Calculus program has a long history of innovation in the calculus market. It has been widely praised by a generation of users for its solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning.
| Front Matter | |
| Vectors and the Geometry of Space | |
| Vectors in the Plane | |
| Space Coordinates and Vectors in Space | |
| The Dot Product of Two Vectors | |
| The Cross Product of Two Vectors in Space | |
| Lines and Planes in Space | |
| Section Project: Distances in Space | |
| Surfaces in Space | |
| Cylindrical and Spherical Coordinates | ... MORE|
| Review Exercises | |
| P.S. Problem Solving | |
| Vector-Valued Functions | |
| Vector-Valued Functions | |
| Section Project: Witch of Agnesi | |
| Differentiation and Integration of Vector-Valued Functions | |
| Velocity and Acceleration | |
| Tangent Vectors and Normal Vectors | |
| Arc Length and Curvature | |
| Review Exercises | |
| P.S. Problem Solving | |
| Functions of Several Variables | |
| Introduction to Functions of Several Variables | |
| Limits and Continuity | |
| Partial Derivatives Section Project: Moir? | |
| Fringes | |
| Differentials | |
| Chain Rules for Functions of Several Variables | |
| Directional Derivatives and Gradients | |
| Tangent Planes and Normal Lines | |
| Section Project: Wildflowers | |
| Extrema of Functions of Two Variables | |
| Applications of Extrema of Functions of Two Variables | |
| Section Project: Building a Pipeline | |
| Lagrange Multipliers | |
| Review Exercises | |
| P.S. Problem Solving | |
| Multiple Integration | |
| Iterated Integrals and Area in the Plane | |
| Double Integrals and Volume | |
| Change of Variables: Polar Coordinates | |
| Center of Mass and Moments of Inertia | |
| Section Project: Center of Pressure on a Sail | |
| Surface Area | |
| Section Project: Capillary Action | |
| Triple Integrals and Applications | |
| Triple Integrals in Cylindrical and Spherical Coordinates | |
| Section Project: Wrinkled and Bumpy Spheres | |
| Change of Variables: Jacobians | |
| Review Exercises | |
| P.S. Problem Solving | |
| Vector Analysis | |
| Vector Fields | |
| Line Integrals | |
| Conservative Vector Fields and Independence of Path | |
| Green's Theorem | |
| Section Project: Hyperbolic and Trigonometric Functions | |
| Parametric Surfaces | |
| Surface Integrals | |
| Section Project: Hyperboloid of One Sheet | |
| Divergence Theorem | |
| Stokes's Theorem | |
| Review Exercises | |
| Section Project: The Planimeter | |
| P.S. Problem Solving | |
| Bonus Online Material | |
| Additional Topics in Differential Equations (please visit URL to come) | |
| Exact First-Order Equations | |
| Second-Order Homogeneous Linear Equations | |
| Second-Order Nonhomogeneous Linear Equations | |
| Section Project: Parachute Jump | |
| Series Solutions of Differential Equations | |
| Review Exercises | |
| P.S. Problem Solving | |
| Book Appendices | |
| Proofs of Selected Theorems | |
| Integration Tables | |
| Online Appendices | |
| Precalculus Review (please visit URL to come) | |
| Real Numbers and the Real Number Line | |
| The Cartesian Plane | |
| Review of Trigonometric Functions | |
| Rotation and the General Second-Degree Equation (please visit URL to come) | |
| Complex Numbers (please visit URL to come) | |
| Business and Economic Applications (please visit URL to come) | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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