Vector Calculus

ISBN-10: 0130880051

ISBN-13: 9780130880055

Edition: 2nd 2001 (Revised)

Authors: Thomas H. Barr

List price: $117.80
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This brief book presents an accessible treatment of multivariable calculus with an early emphasis on linear algebra as a tool. Its organization draws strong analogies with the basic ideas of elementary calculus (derivative, integral, and fundamental theorem). Traditional in approach, it is written with an assumption that the student reader may have computing facilities for two- and three-dimensional graphics, and for doing symbolic algebra. Chapter topics include coordinate and vector geometry, differentiation, applications of differentiation, integration, and fundamental theorems. For those with knowledge of introductory calculus in a wide range of disciplines includingbut not limited tomathematics, engineering, physics, chemistry, and economics.
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Book details

List price: $117.80
Edition: 2nd
Copyright year: 2001
Publisher: Prentice Hall PTR
Publication date: 11/7/2000
Binding: Paperback
Pages: 429
Size: 7.00" wide x 9.25" long x 0.75" tall
Weight: 2.112
Language: English

Coordinate and Vector Geometry
Rectangular Coordinates and Distance
Graphs of Functions of Two Variables
Quadric Surfaces
Cylindrical and Spherical Coordinates
Vectors in Three-Dimensional Space
The Dot Product, Projection, and Work
The Cross Product and Determinants
Planes and Lines in R[superscript 3]
Vector-Valued Functions
Derivatives and Motion
Geometry and Linear Algebra in R[superscript n]
Vectors and Coordinate Geometry in R[superscript n]
Linear Transformations
Geometry of Linear Transformations
Quadratic Forms
Graphs, Level Sets, and Vector Fields: Geometry
Limits and Continuity
Open Sets, Closed Sets, and Continuity
Partial Derivatives
Differentiation and the Total Derivative
The Chain Rule
Applications of Differentiation
The Gradient and Directional Derivative
Divergence and Curl
Taylor's Theorem
Local Extrema
Constrained Optimization and Lagrange Multipliers
Paths and Arclength
Line Integrals
Double Integrals
Triple Integrals
Parametrized Surfaces and Surface Area
Surface Integrals
Change of Variables in Double Integrals
Change of Variables in Triple Integrals
Fundamental Theorems
The Fundamental Theorem for Path Integrals
Green's Theorem
The Divergence Theorem
Stokes's Theorem
Laboratory Writing Projects
Plotting Parametrized Surfaces
Making a Movie
A Mechanical Linkage
The Frenet Frame
Bezier Curves
Filling a Lake
Calculating Volume by Changing Coordinates
Predicting Eclipses
Answers to Selected Exercises
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