| Vector Calculus |
Vector Calculus
Author : Michael Corral, Department of Mathematics, Schoolcraft College Publication Date : July 2008 License : GNU Free Documentation License, Version 1.2 Terms and Conditions:
Excerpts from the book description: 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. |
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