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Multivariable Calculus

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ISBN-10: 0618503021

ISBN-13: 9780618503025

Edition: 8th 2006

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

List price: $292.95
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Description:

Designed specifically for the Calculus III course, Multivariable Calculus, 8/e, contains chapters 10 through 14 of the full Calculus, 8/e, text. The text continues to offer instructors and students new and innovative teaching and learning resources. The Calculus series was the first to use computer-generated graphics (Third Edition), to include exercises involving the use of computers and graphing calculators (Fourth Edition), to be available in an interactive CD-ROM format (Fifth Edition), to be offered as a complete, online calculus course (Sixth Edition), and to offer a two-semester Calculus I with Precalculus text. Every edition of the book has made the mastery of traditional calculus…    
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Book details

List price: $292.95
Edition: 8th
Copyright year: 2006
Publisher: CENGAGE Learning
Publication date: 1/24/2005
Binding: Hardcover
Pages: 480
Size: 8.50" wide x 10.50" long x 0.75" tall
Weight: 2.750
Language: English

The Pennsylvania State University, The Behrend College Bio: Robert P. Hostetler received his Ph.D. in mathematics from The Pennsylvania State University in 1970. He has taught at Penn State for many years and has authored several calculus, precalculus, and intermediate algebra textbooks. His teaching specialties include remedial algebra, calculus, and math education, and his research interests include mathematics education and textbooks.

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
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
Functions of Several Variables
Introduction to Functions of Several Variables
Limits and Continuity
Partial Derivatives Section Project: Moireacute; 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
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
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 Section Project: The Planimeter
Appendices
Proofs of Selected Theorems
Integration Tables
Additional Topics in Differential Equations (Web only)
Precalculus Review (Web only)
Rotation and the General Second-Degree Equation (Web only)
Complex Numbers (Web only)
Business and Economic Applications (Web only)