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Multivariable Calculus

Multivariable Calculus - 6th edition

ISBN13: 978-0130339676

Cover of Multivariable Calculus 6TH 02 (ISBN 978-0130339676)
ISBN13: 978-0130339676
ISBN10: 0130339679
Cover type:
Edition/Copyright: 6TH 02
Publisher: Prentice Hall, Inc.
Published: 2002
International: No
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Multivariable Calculus - 6TH 02 edition

ISBN13: 978-0130339676

C. Henry Edwards and David E. Penney

ISBN13: 978-0130339676
ISBN10: 0130339679
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

11. Infinite Series

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



12. Vectors and Matrices

Vectors in the Plane
Rectangular Coordinates and Three-Dimensional Vectors
The Cross Product of Vectors
Lines and Planes in Space
Curves and Motions in Space
Curvature and Acceleration
Cylinders and Quadric Surfaces
Cylindrical and Spherical Coordinates


13. Partial Differentiation

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



14. Multiple Integrals

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

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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