*Vector Calculus* is a text on elementary multivariable calculus, designed for students who have completed courses in single-variable calculus.

**Description**

The traditional topics are covered: basic vector algebra; lines, planes and surfaces; vector-valued functions; functions of 2 or 3 variables; partial derivatives; optimization; multiple integrals; line and surface integrals.

The book also includes discussion of numerical methods: Newton’s method for optimization, and the Monte Carlo method for evaluating multiple integrals. There is a section dealing with applications to probability. Appendices include a proof of the right-hand rule for the cross product, and a short tutorial on using Gnuplot for graphing functions of 2 variables.

**Table of Contents**

- Vectors in Euclidean Space
- Functions of Several Variables
- Multiple Integrals
- Line and Surface Integrals

**Book Details**

Publisher: –

Format(s): PDF

File size: 2.48 MB

Number of pages: 222

Link: Vector Calculus [PDF]