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Multivariable Calculus With Matrices / With CD

Multivariable Calculus With Matrices / With CD - 6th edition

ISBN13: 978-0130648181

Cover of Multivariable Calculus With Matrices / With CD 6TH 02 (ISBN 978-0130648181)
ISBN13: 978-0130648181
ISBN10: 0130648183
Cover type:
Edition/Copyright: 6TH 02
Publisher: Prentice Hall, Inc.
Published: 2002
International: No

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Multivariable Calculus With Matrices / With CD - 6TH 02 edition

ISBN13: 978-0130648181

C. Henry Edwards and David E. Penney

ISBN13: 978-0130648181
ISBN10: 0130648183
Cover type:
Edition/Copyright: 6TH 02
Publisher: Prentice Hall, Inc.

Published: 2002
International: No

Author Bio

Edwards, C. Henry :


Penney, David E. : University of Georgia

Table of Contents

10. Infinite Series

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Introduction
Infinite Sequences
Infinite Series and Convergence
Taylor Series and Taylor Polynomials
The Integral Test
Comparison Tests for Positive-Term Series
Alternating Series and Absolute Convergence
Power Series
Power Series Computations
Series Solutions of Differential Equations


11. Vectors and Matrices

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Vectors in the Plane
Three-Dimensional Vectors
The Cross Product of Vectors
Lines and Planes in Space
Linear Systems and Matrices
Matrix Operations
Eigenvalues and Rotated Conics


12. Curves and Surfaces in Space

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Curves and Motion in Space
Curvature and Acceleration
Cylinders and Quadric Surfaces
Cylindrical and Spherical Coordinates


13. Partial Differentiation

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Introduction
Functions of Several Variables
Limits and Continuity
Partial Derivatives
Multivariable Optimization Problems
Linear Approximation and Matrix Derivatives
The Multivariable Chain Rule
Directional Derivatives and Gradient Vectors
Lagrange Multipliers and Constrained Optimization
Critical Points of Multivariable Functions


14. Multiple Integrals

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Double Integrals
Double Integrals over More General Regions
Area and Volume by Double Integration
Double Integrals in Polar Coordinates
Applications of Double Integrals
Triple Integrals
Integration in Cylindrical and Spherical Coordinates
Surface Area
Change of Variables in Multiple Integrals


15. Vector Calculus

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Vector Fields
Line Integrals
The Fundamental Theorem and Independence of Path
Green's Theorem
Surface Integrals
The Divergence Theorem
Stokes' Theorem

Appendices
Answers
Index

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