Vector Calculus

Vector Calculus

This is a text on elementary multivariable calculus, designed for students who have completed courses in single-variable calculus.

Tag(s): Mathematics

Publication date: 01 Jul 2008

ISBN-10: n/a

ISBN-13: n/a

Paperback: n/a

Views: 14,821

Type: N/A

Publisher: n/a

License: GNU Free Documentation License Version 1.2

Post time: 16 Sep 2008 06:36:52

Vector Calculus

Vector Calculus This is a text on elementary multivariable calculus, designed for students who have completed courses in single-variable calculus.
Tag(s): Mathematics
Publication date: 01 Jul 2008
ISBN-10: n/a
ISBN-13: n/a
Paperback: n/a
Views: 14,821
Document Type: N/A
Publisher: n/a
License: GNU Free Documentation License Version 1.2
Post time: 16 Sep 2008 06:36:52
Summary/Excerpts of (and not a substitute for) the GNU Free Documentation License Version 1.2:
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts.  A copy of the license is included in the section entitled "GNU Free Documentation License".

Click here to read the full license.
Terms and Conditions:
Michael Corral wrote:This book is released under the GNU Free Documentation License (GFDL), which allows others to not only copy and distribute the book but also to modify it. For more details, see the included copy of the GFDL. So that there is no ambiguity on this matter, anyone can make as many copies of this book as desired and distribute it as desired, without needing my permission.

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.
 




About The Author(s)


Michael Corral is an Adjunct Faculty member of the Department of Mathematics at Schoolcraft College. He received a B.A. in Mathematics from the University of California at Berkeley, and received an M.A. in Mathematics and an M.S. in Industrial & Operations Engineering from the University of Michigan.

Michael Corral

Michael Corral is an Adjunct Faculty member of the Department of Mathematics at Schoolcraft College. He received a B.A. in Mathematics from the University of California at Berkeley, and received an M.A. in Mathematics and an M.S. in Industrial & Operations Engineering from the University of Michigan.


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