**Multivariable Calculus**

by George Cain, James Herod

1997

**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.

Download or read it online for free here:

**Download link**

(multiple PDF files)

## Similar books

**Advanced Calculus**

by

**Lynn H. Loomis, Shlomo Sternberg**-

**Jones and Bartlett Publishers**

Starts with linear algebra, then proceeds to introductory multivariate calculus, including existence theorems connected to completeness, integration, the Stokes theorem, a chapter on differential manifolds, exterior differential forms, etc.

(

**15407**views)

**Multivariable Calculus: Applications and Theory**

by

**Kenneth Kuttler**-

**Brigham Young University**

This book presents the necessary linear algebra and then uses it as a framework upon which to build multivariable calculus. This is the correct approach, leaving open the possibility that at least some students will understand the topics presented.

(

**6367**views)

**Multivariable and Vector Analysis**

by

**W W L Chen**-

**Macquarie University**

Introduction to multivariable and vector analysis: functions of several variables, differentiation, implicit and inverse function theorems, higher order derivatives, double and triple integrals, vector fields, integrals over paths, etc.

(

**13477**views)

**The Calculus of Functions of Several Variables**

by

**Dan Sloughter**-

**Furman University**

Many functions in the application of mathematics involve many variables simultaneously. This book introducses Rn, angles and the dot product, cross product, lines, planes, hyperplanes, linear and affine functions, operations with matrices, and more.

(

**15787**views)