Vector Calculus

Vector Calculus

Vector Calculus 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.

Table of Contents

  • Vectors in Euclidean Space
  • Functions of Several Variables
  • Multiple Integrals
  • Line and Surface Integrals

Book Details

Author(s): Michael Corral
Publisher: –
Format(s): PDF
File size: 2.48 MB
Number of pages: 222
Link: Vector Calculus [PDF]

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