000			03483cam a22004455i 4500
001			21739640
003			CUTN
005			20231018162136.0
006			m |o d |
007			cr |||||||||||
008			141105s2015 gw |||| o |||| 0|eng
010			_a 2019757259
020			_a9783319110806
024	7		_a10.1007/978-3-319-11080-6 _2doi
035			_a(DE-He213)978-3-319-11080-6
040			_aDLC _beng _epn _erda _cDLC
072		7	_aMAT002050 _2bisacsh
072		7	_aPBF _2bicssc
072		7	_aPBF _2thema
082	0	4	_a512.5 _223 _bAXL
100	1		_aAxler, Sheldon, _eauthor.
245	1	0	_aLinear Algebra Done Right / _cby Sheldon Axler.
250			_a3rd ed. 2015.
260			_aLondon : _bSpringer, _c2010.
300			_a1 online resource (XVII, 340 pages 26 illustrations in color.)
490	1		_aUndergraduate Texts in Mathematics, _x0172-6056
505			_aVector Spaces Sheldon Axler Pages 1-26 Finite-Dimensional Vector Spaces Sheldon Axler Pages 27-49 Linear Maps Sheldon Axler Pages 51-116 Polynomials Sheldon Axler Pages 117-130 Eigenvalues, Eigenvectors, and Invariant Subspaces Sheldon Axler Pages 131-161 Inner Product Spaces Sheldon Axler Pages 163-202 Operators on Inner Product Spaces Sheldon Axler Pages 203-240 Operators on Complex Vector Spaces Sheldon Axler Pages 241-274 Operators on Real Vector Spaces Sheldon Axler Pages 275-294 Trace and Determinant Sheldon Axler Pages 295-331 Back Matter Pages 333-340
520			_aThis best-selling textbook for a second course in linear algebra is aimed at undergrad math majors and graduate students. The novel approach taken here banishes determinants to the end of the book. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. The third edition contains major improvements and revisions throughout the book. More than 300 new exercises have been added since the previous edition. Many new examples have been added to illustrate the key ideas of linear algebra. New topics covered in the book include product spaces, quotient spaces, and dual spaces. Beautiful new formatting creates pages with an unusually pleasant appearance in both print and electronic versions. No prerequisites are assumed other than the usual demand for suitable mathematical maturity. Thus the text starts by discussing vector spaces, linear independence, span, basis, and dimension. The book then deals with linear maps, eigenvalues, and eigenvectors. Inner-product spaces are introduced, leading to the finite-dimensional spectral theorem and its consequences. Generalized eigenvectors are then used to provide insight into the structure of a linear operator.
650		0	_aAlgebra.
650		0	_aMatrix theory.
650	1	4	_aLinear and Multilinear Algebras, Matrix Theory.
776	0	8	_iPrint version: _tLinear algebra done right _z9783319110790 _w(DLC) 2014954079
776	0	8	_iPrinted edition: _z9783319110790
776	0	8	_iPrinted edition: _z9783319110813
776	0	8	_iPrinted edition: _z9783319307657
776	0	8	_iPrinted edition: _z9783319939025
830		0	_aUndergraduate Texts in Mathematics,
906			_a0 _bibc _corigres _du _encip _f20 _gy-gencatlg
942			_2ddc _cPROJECT
999			_c40108 _d40108