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Calculus Multivariable

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ISBN-10: 0471482374

ISBN-13: 9780471482376

Edition: 8th 2005

Authors: Howard Anton, Irl Bivens, Stephen Davis, M. Boezi

List price: $154.95
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Description:

Offers tightened and streamlined exposition and examples. - Includes new Quick Check exercises that are meant to focus readers on the key points of the section. - Presents new Focus on Concepts exercises that reinforce the material. - Discusses three-dimensional space, vectors, vector-valued functions, partial derivatives, multiple integrals, and topics in vector calculus. - Provides appendices on parametric equations, mathematical modeling and differential equations, and analytic geometry in calculus.
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Book details

List price: $154.95
Edition: 8th
Copyright year: 2005
Publisher: John Wiley & Sons, Incorporated
Publication date: 4/1/2005
Binding: Hardcover
Pages: 448
Size: 8.50" wide x 10.25" long x 0.75" tall
Weight: 2.398

Stephen Davis is the author of numerous books, including "The New York Times" bestsellers "Hammer of the Gods: The Led Zeppelin Saga" & "Walk This Way: The Autobiography of Aerosmith", & coauthor of "Fleetwood", the memoirs of Fleetwood Mac drummer Mick Fleetwood. His journalism has appeared in "Rolling Stone", "The New York Times", "The Boston Globe", & many other publications. He lives in New England.

Three-Dimensional Space Vectors
Rectangular Coordinates in 3-Space Spheres Cylindrical Surfaces
Vectors
Dot Product Projections
Cross Product
Parametric Equations of Lines
Planes in 3-Space
Quadric Surfaces
Cylindrical and Spherical Coordinates
Vector-Valued Functions
Introduction to Vector-Valued Functions
Calculus of Vector-Valued Functions
Change of Parameter Arc Length
Unit Tangent, Normal, and Binormal Vectors
Curvature
Motion Along a Curve
Kepler's Laws of Planetary Motion
Partial Derivatives
Functions of Two or More Variables
Limits and Continuity
Partial Derivatives
Differentiability, Differentials, and Local Linearity
The Chain Rule
Directional Derivatives and Gradients
Tangent Planes and Normal Vectors
Maxima and Minima of Functions of Two Variables
Lagrange Multipliers
Multiple Integrals
Double Integrals
Double Integrals over Nonrectangular Regions
Double Integrals in Polar Coordinates
Parametric Surfaces Surface Area
Triple Integrals
Centroid, Center of Gravity, Theorem of Pappus
Triple Integrals in Cylindrical and Spherical Coordinates
Change of Variables in Multiple Integrals Jacobians
Topics In Vector Calculus
Vector Fields
Line Integrals
Independence of Path Conservative Vector Fields
Green's Theorem
Surface Integrals
Applications of Surface Integrals Flux
The Divergence Theorem
Stokes'Theorem
Horizon Module: Hurricane Modeling
Answers A33
Photocredits C1
Index I-1?
Trigonometry Review W?
Solving Polynomial Equations W1?
Selected Proofs W2?
Real Numbers,Intervals, And Inequalities W31
Absolute Value W4?
Coordinate Planes, Lines, And Linear Functions W4?
Distance, Circles, And Quadratic Functions W6?
The Discriminant W72
Additional material Parametric Equations
Additional material Mathematical Modeling With Differential Equations
Additional material Analytic Geometry In Calculus