Multivariable Calculus by George Cain & James Herod. Download it in pdf format.
Book Description
This is a textbook for a course in multivariable calculus. It has been used for the past few years at Georgia Tech. The text covers Euclidean three space, vectors, vector functions, derivatives, more dimensions, linear functions and matrices, continuity, the Taylor polynomial, sequences and series, Taylor series, integration, Gauss and Green, Stokes.
Table of Contents
- Euclidean Three Space
- Vectors–Algebra and Geometry
- Vector Functions
- Derivatives
- More Dimensions
- Linear Functions and Matrices
- Continuity, Derivatives, and All That
- f:Rn-› R
- The Taylor Polynomial
- Sequences, Series, and All That
- Taylor Series
- Integration
- More Integration
- One Dimension Again
- Surfaces Revisited
- Integrating Vector Functions
- Gauss and Green
- Stokes
- Some Physics