Vector Calculus
Michael Corral of Schoolcraft College has just let us know about his Vector Calculus which is available as a PDF under the GFDL. Its source will be available soon.
The book description says:
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.
Update 2008-05-06: The LaTeX source is now available!
2 comments April 30th, 2008
