000			03221nam a22005055i 4500
001			978-1-4419-7683-3
003			DE-He213
005			20140220084511.0
007			cr nn 008mamaa
008			101029s2010 xxu| s |||| 0|eng d
020			_a9781441976833 _9978-1-4419-7683-3
024	7		_a10.1007/978-1-4419-7683-3 _2doi
050		4	_aQA184-205
072		7	_aPBF _2bicssc
072		7	_aMAT002050 _2bisacsh
082	0	4	_a512.5 _223
100	1		_aSerre, Denis. _eauthor.
245	1	0	_aMatrices _h[electronic resource] : _bTheory and Applications / _cby Denis Serre.
264		1	_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2010.
300			_aXIV, 289 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aGraduate Texts in Mathematics, _x0072-5285 ; _v216
505	0		_aElementary Linear and Multilinear Algebra -- What Are Matrices -- Square Matrices -- Tensor and Exterior Products -- Matrices with Real or Complex Entries -- Hermitian Matrices -- Norms -- Nonnegative Matrices -- Matrices with Entries in a Principal Ideal Domain; Jordan Reduction -- Exponential of a Matrix, Polar Decomposition, and Classical Groups -- Matrix Factorizations and Their Applications -- Iterative Methods for Linear Systems -- Approximation of Eigenvalues.
520			_aIn this book, Denis Serre begins by providing a clean and concise introduction to the basic theory of matrices. He then goes on to give many interesting applications of matrices to different aspects of mathematics and also other areas of science and engineering. With forty percent new material, this second edition is significantly different from the first edition. Newly added topics include: • Dunford decomposition, • tensor and exterior calculus, polynomial identities, • regularity of eigenvalues for complex matrices, • functional calculus and the Dunford–Taylor formula, • numerical range, • Weyl's and von Neumann’s inequalities, and • Jacobi method with random choice. The book mixes together algebra, analysis, complexity theory and numerical analysis. As such, this book will provide many scientists, not just mathematicians, with a useful and reliable reference. It is intended for advanced undergraduate and graduate students with either applied or theoretical goals. This book is based on a course given by the author at the École Normale Supérieure de Lyon.
650		0	_aMathematics.
650		0	_aMatrix theory.
650		0	_aTopological Groups.
650		0	_aOperator theory.
650		0	_aNumerical analysis.
650	1	4	_aMathematics.
650	2	4	_aLinear and Multilinear Algebras, Matrix Theory.
650	2	4	_aNumerical Analysis.
650	2	4	_aTopological Groups, Lie Groups.
650	2	4	_aOperator Theory.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781441976826
830		0	_aGraduate Texts in Mathematics, _x0072-5285 ; _v216
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4419-7683-3
912			_aZDB-2-SMA
999			_c110752 _d110752