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Multivariable Calculus : Text

ISBN-10: 0618239758

ISBN-13: 9780618239757

Edition: 7th 2002

Authors: Ron Larson, Robert Hostetler, Bruce H. Edwards

List price: $112.35
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Description:

Designed specifically for the Calculus III course, Multivariable Calculus, 7/e, contains chapters 10 through 14 of Calculus with Analytic Geometry, 7/e. For a description, see Larson et al., Calculus with Analytic Geometry, 7/e
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Book details

List price: $112.35
Edition: 7th
Copyright year: 2002
Publisher: Houghton Mifflin College Division
Binding: CD-ROM 
Pages: 378
Size: 8.50" wide x 10.50" long x 0.75" tall
Weight: 2.882
Language: English

Bruce Edwards has been a mathematics professor at the University of Florida since 1976. Dr. Edwards majored in mathematics at Stanford University, graduating in 1968. He then joined the Peace Corps and spent four years teaching math in Colombia, South America. He returned to the United States and Dartmouth in 1972, and he received his PhD. in mathematics in 1976. Dr. Edwards' research interests include the area of numerical analysis, with a particular interest in the so-called CORDIC algorithms used by computers and graphing calculators to compute function values. His hobbies include jogging, reading, chess, simulation baseball games, and travel.

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 Applications