000			02957nam a22004335i 4500
001			978-1-4614-3612-6
003			DE-He213
005			20140220083248.0
007			cr nn 008mamaa
008			120606s2012 xxu| s |||| 0|eng d
020			_a9781461436126 _9978-1-4614-3612-6
024	7		_a10.1007/978-1-4614-3612-6 _2doi
050		4	_aQA184-205
072		7	_aPBF _2bicssc
072		7	_aMAT002050 _2bisacsh
082	0	4	_a512.5 _223
100	1		_aPetersen, Peter. _eauthor.
245	1	0	_aLinear Algebra _h[electronic resource] / _cby Peter Petersen.
264		1	_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2012.
300			_aX, 387 p. 10 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aUndergraduate Texts in Mathematics, _x0172-6056
505	0		_aPreface -- 1 Basic Theory -- 2 Linear Operators -- 3 Inner Product Spaces -- 4 Linear Operators on Inner Product Spaces -- 5 Determinants -- Bibliography -- Index.
520			_aThis textbook on linear algebra includes the key topics of the subject that most advanced undergraduates need to learn before entering graduate school. All the usual topics, such as complex vector spaces, complex inner products, the Spectral theorem for normal operators, dual spaces, the minimal polynomial, the Jordan canonical form, and the rational canonical form, are covered, along with a chapter on determinants at the end of the book. In addition, there is material throughout the text on linear differential equations and how it integrates with all of the important concepts in linear algebra.   This book has several distinguishing features that set it apart from other linear algebra texts.  For example: Gaussian elimination is used as the key tool in getting at eigenvalues; it takes an essentially determinant-free approach to linear algebra; and systems of linear differential equations are used as frequent motivation for the reader.  Another motivating aspect of the book is the excellent and engaging exercises that abound in this text.   This textbook is written for an upper-division undergraduate course on Linear Algebra.  The prerequisites for this book are a familiarity with basic matrix algebra and elementary calculus, although any student who is willing to think abstractly should not have too much difficulty in understanding this text.
650		0	_aMathematics.
650		0	_aMatrix theory.
650	1	4	_aMathematics.
650	2	4	_aLinear and Multilinear Algebras, Matrix Theory.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781461436119
830		0	_aUndergraduate Texts in Mathematics, _x0172-6056
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4614-3612-6
912			_aZDB-2-SMA
999			_c101408 _d101408