000			03350nam a22004815i 4500
001			978-1-4020-5495-2
003			DE-He213
005			20251006084522.0
007			cr nn 008mamaa
008			100301s2007 ne | s |||| 0|eng d
020			_a9781402054952
020			_a99781402054952
024	7		_a10.1007/978-1-4020-5495-2 _2doi
082	0	4	_a512.5 _223
100	1		_aGolan, Jonathan S. _eauthor.
245	1	4	_aThe Linear Algebra a Beginning Graduate Student Ought to Know _h[electronic resource] / _cby Jonathan S. Golan.
264		1	_aDordrecht : _bSpringer Netherlands, _c2007.
300			_aXI, 435 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aNotation and terminology -- Fields -- Vector spaces over a field -- Algebras over a field -- Linear independence and dimension -- Linear transformations -- The endomorphism algebra of a vector space -- Representation of linear transformations by matrices -- The algebra of square matrices -- Systems of linear equations -- Determinants -- Eigenvalues and eigenvectors -- Krylov subspaces -- The dual space -- Inner product spaces -- Orthogonality -- Selfadjoint Endomorphisms -- Unitary and Normal endomorphisms -- Moore-Penrose pseudoinverses -- Bilinear transformations and forms.
520			_aLinear algebra is a living, active branch of mathematics which is central to almost all other areas of mathematics, both pure and applied, as well as computer science, the physical and social sciences, and engineering. It entails an extensive corpus of theoretical results as well as a large body of computational techniques. The book is intended to be used in one of several possible ways: (1) as a self-study guide; (2) as a textbook for a course in advanced linear algebra, either at the upper-class undergraduate level or at the first-year graduate level; or (3) as a reference book. It is also designed to prepare a student for the linear algebra portion of prelim exams or PhD qualifying exams. The volume is self-contained to the extent that it does not assume any previous formal knowledge of linear algebra, though the reader is assumed to have been exposed, at least informally, to some basic ideas and techniques, such as the solution of a small system of linear equations over the real numbers. More importantly, it does assume a seriousness of purpose and a modicum of mathematical sophistication. The book also contains over 1000 exercises, many of which are very challenging.
650		0	_aMATHEMATICS.
650		0	_aELECTRONIC DATA PROCESSING.
650		0	_aALGEBRA.
650		0	_aMATRIX THEORY.
650		0	_aALGORITHMS.
650	1	4	_aMATHEMATICS.
650	2	4	_aLINEAR AND MULTILINEAR ALGEBRAS, MATRIX THEORY.
650	2	4	_aASSOCIATIVE RINGS AND ALGEBRAS.
650	2	4	_aNON-ASSOCIATIVE RINGS AND ALGEBRAS.
650	2	4	_aNUMERIC COMPUTING.
650	2	4	_aALGORITHMS.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781402054945
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4020-5495-2 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c61302 _d61302