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.
2 CHAPTER 1. VECTORS IN EUCLIDEAN SPACE The coordinate system shown in Figure 1.1.1 is known as a right-handed coordinate system, because it is possible, using the right hand, to point the index finger in the positive direction of the x-axis, the middle fingerin the positive direction of the y-axis, andthe thumb in the positive direction of the z-axis, as in Figure 1.1.3.
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