Multivariable Calculus

Multivariable Calculus

Multivariable Calculus
George Cain & James Herod
© Copyright 1996, 1997 by George Cain and James Herod. All rights reserved.

This is a textbook for a course in multivariable calculus. It has been used for the past few years at Georgia Tech. The notes are available as Adobe Acrobat documents.

Table of Contents
Chapter One - Euclidean Three Space
Chapter Two - Vectors--Algebra and Geometry
Chapter Three - Vector Functions
Chapter Four - Derivatives
Chapter Five - More Dimensions
Chapter Six - Linear Functions and Matrices
Chapter Seven - Continuity, Derivatives, and All That
Chapter Eight - f:Rn-› R
Chapter Nine - The Taylor Polynomial
Chapter Ten - Sequences, Series, and All That
Chapter Eleven - Taylor Series
Chapter Twelve - Integration
Chapter Thirteen - More Integration
Chapter Fourteen - One Dimension Again
Chapter Fifteen - Surfaces Revisited
Chapter Sixteen - Integrating Vector Functions
Chapter Seventeen - Gauss and Green
Chapter Eighteen - StokesChapter Nineteen - Some Physics