Vector Calculus
Corral, Michael
Vector Calculus Michael Corral - 1 online resource - Open textbook library. .
1 Vectors in Euclidean Space -- 2 Functions of Several Variables -- 3 Multiple Integrals -- 4 Line and Surface Integrals --
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.
In English.
Mathematics--Textbooks
QA1 QA37.3
Vector Calculus Michael Corral - 1 online resource - Open textbook library. .
1 Vectors in Euclidean Space -- 2 Functions of Several Variables -- 3 Multiple Integrals -- 4 Line and Surface Integrals --
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.
In English.
Mathematics--Textbooks
QA1 QA37.3