000			01966nam a2200349 4500
001			OTLid0000091
003			MnU
005			20201105133256.0
006			m o d s
008			180907s2013 mnu o 0 0 eng d
040			_aMnU _beng _cMnU
050		4	_aQA1
050		4	_aQA37.3
100	1		_aCorral, Michael _eauthor
245	0	0	_aVector Calculus _cMichael Corral
264		2	_bOpen Textbook Library
264		1	_bMichael Corral
300			_a1 online resource
490	0		_aOpen textbook library.
505	0		_a1 Vectors in Euclidean Space -- 2 Functions of Several Variables -- 3 Multiple Integrals -- 4 Line and Surface Integrals --
520	0		_aThis 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.
542	1		_fFree Documentation License (GNU)
546			_aIn English.
588	0		_aDescription based on print resource
650		0	_aMathematics _vTextbooks
710	2		_aOpen Textbook Library _edistributor
856	4	0	_uhttps://open.umn.edu/opentextbooks/textbooks/91 _zAccess online version
999			_c19524 _d19524