# Vector Calculus

- By: Michael Corral
- Publisher: Michael Corral
- Source: [Open Textbook Library](https://open.umn.edu/opentextbooks/textbooks/vector-calculus)
- Licence: Free Documentation License (GNU)
- PDF: http://www.mecmath.net/
- LaTeX: http://www.mecmath.net/#Download:~:text=LaTeX%20source%20code%3A%20calc3book%2D1.0%2Dsrc.tar.gz

This is a text on elementary multivariable calculus, designed for students who have completed courses in single-variable calculus. 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 There are 420 exercises in the book. Answers to selected exercises are included.