000			04015nam a2200697 i 4500
001			8858150
003			IEEE
005			20200413152933.0
006			m eo d
007			cr cn |||m|||a
008			190927s2019 caua fo 001 0 eng d
020			_a9781681736570 _qelectronic
020			_z9781681736587 _qhardcover
020			_z9781681736563 _qpaperback
024	7		_a10.2200/S00948ED1V01Y201908MAS030 _2doi
035			_a(CaBNVSL)thg00979535
035			_a(OCoLC)1122164223
040			_aCaBNVSL _beng _erda _cCaBNVSL _dCaBNVSL
050		4	_aQA303.2 _b.A754 2019eb
082	0	4	_a515 _223
100	1		_aAshlock, Daniel, _eauthor.
245	1	0	_aFast start advanced calculus / _cDaniel Ashlock.
264		1	_a[San Rafael, California] : _bMorgan & Claypool, _c[2019]
300			_a1 PDF (xiii, 179 pages) : _billustrations (some color).
336			_atext _2rdacontent
337			_aelectronic _2isbdmedia
338			_aonline resource _2rdacarrier
490	1		_aSynthesis lectures on mathematics and statistics, _x1938-1751 ; _v#30
538			_aMode of access: World Wide Web.
538			_aSystem requirements: Adobe Acrobat Reader.
500			_aPart of: Synthesis digital library of engineering and computer science.
500			_aIncludes index.
505	0		_a1. Advanced derivatives -- 1.1. Partial derivatives -- 1.2. The gradient and directional derivatives -- 1.3. Tangent planes
505	8		_a2. Multivariate and constrained optimization -- 2.1. Optimization with partial derivatives -- 2.2. The extreme value theorem redux -- 2.3. Lagrange multipliers
505	8		_a3. Advanced integration -- 3.1. Volumes of rotation -- 3.2. Arc length and surface area -- 3.3. Multiple integrals
505	8		_a4. Sequences, series, and function approximation -- 4.1. Sequences and the geometric series -- 4.2. Series convergence tests -- 4.3. Power series -- 4.4. Taylor series
505	8		_aa. Useful formulas -- A.1. Powers, logs, and exponentials -- A.2. Trigonometric identities -- A.3. Speed of function growth -- A.4. Derivative rules -- A.5. Sums and factorization rules -- A.6. Vector arithmetic -- A.7. Polar and rectangular conversion -- A.8. Integral rules -- A.9. Series convergence tests -- A.10. Taylor series.
506			_aAbstract freely available; full-text restricted to subscribers or individual document purchasers.
510	0		_aCompendex
510	0		_aINSPEC
510	0		_aGoogle scholar
510	0		_aGoogle book search
520			_aThis book continues the material in two early Fast Start calculus volumes to include multivariate calculus, sequences and series, and a variety of additional applications. These include partial derivatives and the optimization techniques that arise from them, including Lagrange multipliers. Volumes of rotation, arc length, and surface area are included in the additional applications of integration. Using multiple integrals, including computing volume and center of mass, is covered. The book concludes with an initial treatment of sequences, series, power series, and Taylor's series, including techniques of function approximation.
530			_aAlso available in print.
588			_aTitle from PDF title page (viewed on September 27, 2019).
650		0	_aCalculus _vTextbooks.
653			_apartial derivatives
653			_amultivariate optimization
653			_aconstrained optimization
653			_avolume
653			_aarc-length
653			_asurface integrals
653			_amultiple integrams
653			_aseries
653			_apower series
776	0	8	_iPrint version: _z9781681736587 _z9781681736563
830		0	_aSynthesis lectures on mathematics and statistics ; _v#30.
830		0	_aSynthesis digital library of engineering and computer science.
856	4	2	_3Abstract with links to resource _uhttps://ieeexplore.ieee.org/servlet/opac?bknumber=8858150
856	4	0	_3Abstract with links to full text _uhttps://www.morganclaypool.com/doi/10.2200/S00948ED1V01Y201908MAS030
999			_c562441 _d562441