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9780618149179

Calculus With Analytic Geometry: Multivariable Calculus

Calculus With Analytic Geometry: Multivariable Calculus
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  • ISBN-13: 9780618149179
  • ISBN: 0618149171
  • Edition: 7th
  • Publisher: Houghton Mifflin College Div

AUTHOR

Ron Larson, Bruce H. Edwards, Robert Hostetler

SUMMARY

Contents Note: Each chapter concludes with Review Exercises and P.S. Problem Solving. 10. Vectors and the Geometry of Space 10.1 Vectors in the Plane 10.2 Space Coordinates and Vectors in Space 10.3 The Dot Product of Two Vectors 10.4 The Cross Product of Two Vectors in Space 10.5 Lines and Planes in Space Section Project: Distances in Space 10.6 Surfaces in Space 10.7 Cylindrical and Spherical Coordinates 11. Vector-Valued Functions 11.1 Vector-Valued Functions Section Project: Witch of Agnesi 11.2 Differentiation and Integration of Vector-Valued Functions 11.3 Velocity and Acceleration 11.4 Tangent Vectors and Normal Vectors 11.5 Arc Length and Curvature 12. Functions of Several Variables 12.1 Introduction to Functions of Several Variables 12.2 Limits and Continuity 12.3 Partial Derivatives Section Project: Moireacute; Fringes 12.4 Differentials 12.5 Chain Rules for Functions of Several Variables 12.6 Directional Derivatives and Gradients 12.7 Tangent Planes and Normal Lines Section Project: Wildflowers 12.8 Extrema of Functions of Two Variables 12.9 Applications of Extrema of Functions of Two Variables Section Project: Building a Pipeline 12.10 Lagrange Multipliers 13. Multiple Integration 13.1 Iterated Integrals and Area in the Plane 13.2 Double Integrals and Volume 13.3 Change of Variables: Polar Coordinates 13.4 Center of Mass and Moments of Inertia Section Project: Center of Pressure on a Sail 13.5 Surface Area Section Project: Capillary Action 13.6 Triple Integrals and Applications 13.7 Triple Integrals in Cylindrical and Spherical Coordinates Section Project: Wrinkled and Bumpy Spheres 13.8 Change of Variables: Jacobians 14. Vector Analysis 14.1 Vector Fields 14.2 Line Integrals 14.3 Conservative Vector Fields and Independence of Path 14.4 Green's Theorem Section Project: Hyperbolic and Trigonometric Functions 14.5 Parametric Surfaces 14.6 Surface Integrals Section Project: Hyperboloid of One Sheet 14.7 Divergence Theorem 14.8 Stoke's Theorem Section Project: The Planimeter Appendices A. Additional Topics in Differential Equations B. Proofs of Selected Theorems C. Integration Tables D. Precalculus Review E. Rotation and the General Second-Degree Equation F. Complex Numbers G. Business and Economic ApplicationsRon Larson is the author of 'Calculus With Analytic Geometry: Multivariable Calculus' with ISBN 9780618149179 and ISBN 0618149171.

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