Vector Calculus - mecmath
CorralVector CalculusMichael CorralSchoolcraft CollegeAbout the author:Michael Corral is an Adjunct Faculty member of the Department ofMathematics atSchoolcraft College. He received a in Mathematics from the University of Californiaat Berkeley, and received an in Mathematics and an in Industrial & OperationsEngineering from the University of text was typeset in LATEX2 with theKOMA-Scriptbundle, using the GNU Emacs texteditor on a Fedora Linux system. The graphics were created using MetaPost, PGF, 2008 Michael is granted to copy, distribute and/or modify this document under the terms of theGNU Free Documentation License, Version or any later version published by the FreeSoftware Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-CoverTexts. A copy of the license is included in the section entitled GNU Free DocumentationLicense .PrefaceThis book covers Calculus in two and three variables.
1 Vectors in Euclidean Space 1.1 Introduction In single-variable calculus, the functions that one encounters are functions of a variable (usually x or t) that varies over some subset of the real number line (which we denote by R). For such a function, say, y=f(x), the graph of the function f consists of the points (x,y)= (x,f(x)).These points lie in the Euclidean plane, which, in the Cartesian ...
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