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by C. Henry Edwards and David E. Penney

Edition: 6TH 02Copyright: 2002

Publisher: Prentice Hall, Inc.

Published: 2002

International: No

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**Edwards, C. Henry : **

Penney, David E. : University of Georgia

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

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

Publisher Info

Publisher: Prentice Hall, Inc.

Published: 2002

International: No

Published: 2002

International: No

**Edwards, C. Henry : **

Penney, David E. : University of Georgia

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