000			02885nam a22003735i 4500
001			280491
003			MX-SnUAN
005			20160429154026.0
007			cr nn 008mamaa
008			150903s2011 xxk| o |||| 0|eng d
020			_a9780857291929 _99780857291929
024	7		_a10.1007/9780857291929 _2doi
035			_avtls000333834
039		9	_a201509030241 _bVLOAD _c201404130542 _dVLOAD _c201404092331 _dVLOAD _y201402041133 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA331.5
100	1		_aShirali, Satish. _eautor _9305447
245	1	0	_aMultivariable Analysis / _cby Satish Shirali, Harkrishan Lal Vasudeva.
264		1	_aLondon : _bSpringer London, _c2011.
300			_av, 393 páginas 18 ilustraciones _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
500			_aSpringer eBooks
505	0		_aPreliminaries -- Functions between Euclidean Spaces -- Differentiation -- Inverse and Implicit Function Theorems -- Extrema -- Riemann Integration in Euclidean Space -- The General Stokes Theorem -- Solutions.
520			_aThis book provides a rigorous treatment of multivariable differential and integral calculus. Inverse and implicit function theorems based on total derivatives are given and the connection with solving systems of equations is included. There is an extensive treatment of extrema, including constrained extrema and Lagrange multipliers, covering both first order necessary conditions and second order sufficient conditions. The material on Riemann integration in n dimensions, being delicate by its very nature, is discussed in detail. Differential forms and the general Stokes' Theorem are explained in the last chapter. With a focus on clarity rather than brevity, this text gives clear motivation, definitions and examples with transparent proofs. Some of the material included is difficult to find in most texts, for example, double sequences in Chapter 2, Schwarz’ Theorem in Chapter 3 and sufficient conditions for constrained extrema in Chapter 5. A wide selection of problems, ranging from simple to challenging, is included with carefully written solutions. Ideal as a classroom text or a self study resource for students, this book will appeal to higher level undergraduates in Mathematics.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700	1		_aVasudeva, Harkrishan Lal. _eautor _9305448
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9780857291912
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-85729-192-9 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
942			_c14
999			_c280491 _d280491