Vector Calculus

Name: Vector Calculus
Availability: InStock
ISBN: 9780130880055

ISBN-10: 0130880051

ISBN-13: 9780130880055

Edition: 2nd 2001 (Revised)

Authors: Thomas Barr

List price: $146.65

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Description:

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…

Book details

List price: $146.65
Edition: 2nd
Copyright year: 2001
Publisher: Pearson Education
Publication date: 11/7/2000
Binding: Paperback
Pages: 480
Size: 7.00" wide x 9.15" long x 1.35" tall
Weight: 1.892
Language: English



Preface



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]



Matrices



Linear Transformations



Geometry of Linear Transformations



Quadratic Forms



Differentiation



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



Integration



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


Bibliography


Answers to Selected Exercises


Index