Vector Calculus

ISBN-10: 0131858742
ISBN-13: 9780131858749
Edition: 3rd 2006
List price: $168.67
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Book details

List price: $168.67
Edition: 3rd
Copyright year: 2006
Publisher: Prentice Hall PTR
Publication date: 3/16/2005
Binding: Hardcover
Pages: 576
Size: 8.00" wide x 10.00" long x 0.75" tall
Weight: 3.102

Abby Guinness is an experienced actress performer and now author. She has appeared in numerous plays and stage shows in the UK.

(NOTE: Each chapter concludes with True/False Exercises and Miscellaneous Exercises.)
Vectors
Vectors in Two and Three Dimensions
More About Vectors
The Dot Product
The Cross Product
Equations for Planes; Distance Problems
Some n-Dimensional Geometry
New Coordinate Systems
Differentiation in Several Variables
Functions of Several Variables; Graphing Surfaces
Limits
The Derivative
Properties; Higher-Order Partial Derivatives; Newton's Method
The Chain Rule
Directional Derivatives and the Gradient
Vector-Valued Functions
Parametrized Curves and Kepler's Laws
Arclength and Differential Geometry
Vector Fields: An Introduction
Gradient, Divergence, Curl, and the Del Operator
Maxima and Minima in Several Variables
Differentials and Taylor's Theorem
Extrema of Functions
Lagrange Multipliers
Some Applications of Extrema
Multiple Integration
Introduction: Areas and Volumes
Double Integrals
Changing the Order of Integration
Triple Integrals
Change of Variables
Applications of Integration
Line Integrals
Scalar and Vector Line Integrals
Green's Theorem
Conservative Vector Fields
Surface Integrals and Vector Analysis
Parametrized Surfaces
Surface Integrals
Stokes's and Gauss's Theorems
Further Vector Analysis; Maxwell's Equations
Vector Analysis in Higher Dimensions
An Introduction to Differential Forms
Manifolds and Integrals of k-forms
The Generalized Stokes's Theorem
Suggestions for Further Reading
Answers to Selected Exercises
Index

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