Nguồn ngoài

Vector Calculus

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.

Tác giả

Michael Corral

Nhà xuất bản

Michael Corral

Năm

2013

Nguồn

Open Textbook Library

Giấy phép

Free Documentation License (GNU)

Ngôn ngữ

EN

Danh mục

Khoa học cơ bản