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E-book
Calculus Multivariable, 2nd EditionISBN: 978-1-118-20777-2
Wiley E-Text
September 2011
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Supplementary Resources.
Acknowledgments.
About the Authors.
C H A P T E R 9 Vectors.
Preview.
1 Vectors in the Plane.
2 Vectors in Three-Dimensional Space.
3 The Dot Product and Applications.
4 The Cross Product and Triple Product.
5 Lines and Planes in Space.
Summary of Key Topics.
Review Exercises.
Genesis & Development 9.
C H A P T E R 1 0 Vector-Valued Functions.
Preview.
1 Vector-Valued Functions—Limits, Derivatives, and Continuity.
2 Velocity and Acceleration.
3 Tangent Vectors and Arc Length.
4 Curvature.
5 Applications of Vector-Valued Functions to Motion.
Summary of Key Topics.
Review Exercises.
Genesis & Development 10.
C H A P T E R 1 1 Functions of Several Variables.
Preview.
1 Functions of Several Variables.
2 Cylinders and Quadric Surfaces.
3 Limits and Continuity.
4 Partial Derivatives.
5 Differentiability and the Chain Rule.
6 Gradients and Directional Derivatives.
7 Tangent Planes.
8 Maximum-Minimum Problems.
9 Lagrange Multipliers.
Summary of Key Topics.
Review Exercises.
Genesis & Development 11.
C H A P T E R 1 2 Multiple Integrals.
Preview.
1 Double Integrals Over Rectangular Regions.
2 Integration Over More General Regions.
3 Calculation of Volumes of Solids.
4 Polar Coordinates.
5 Integrating in Polar Coordinates.
6 Triple Integrals.
7 Physical Applications.
8 Other Coordinate Systems.
Summary of Key Topics.
Review Exercises.
Genesis & Development 12.
C H A P T E R 1 3 Vector Calculus.
Preview.
1 Vector Fields.
2 Line Integrals.
3 Conservative Vector Fields and Path Independence.
4 Divergence, Gradient, and Curl.
5 Green’s Theorem.
6 Surface Integrals.
7 Stokes’s Theorem.
8 The Divergence Theorem.
Summary of Key Topics.
Review Exercises.
Genesis & Development 13.
Table of Integrals.
Formulas from Calculus: Single Variable.
Answers to Selected Exercises.
Index.
