by C. Henry Edwards and David E. Penney
List price: $124.00
Author Bio
Edwards, C. Henry :
Penney, David E. : University of Georgia
10. 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
11. Vectors and Matrices
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
Curves and Motion 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 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
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
C. Henry Edwards and David E. Penney
ISBN13: 978-0130648181Author Bio
Edwards, C. Henry :
Penney, David E. : University of Georgia
Table of Contents
10. 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
11. Vectors and Matrices
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
Curves and Motion 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 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
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