ISBN13:978-0130339676 ISBN10: 0130339679 Edition/Copyright:6TH 02 Cover: Print On Demand Publisher:Prentice Hall, Inc. Published: 05/28/2002 International: No
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Edwards, C. Henry :
Penney, David E. : University of Georgia
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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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