000 02357nam a2200349 4500
001 OTLid0000210
003 MnU
005 20201105133306.0
006 m o d s
008 180907s2012 mnu o 0 0 eng d
040 _aMnU
_beng
_cMnU
050 4 _aQA1
050 4 _aQA37.3
100 1 _aKuttler, Kenneth
_eauthor
245 0 0 _aLinear Algebra, Theory And Applications
_cKenneth Kuttler
264 2 _bOpen Textbook Library
264 1 _bSaylor Foundation
300 _a1 online resource
490 0 _aOpen textbook library.
505 0 _aPreliminaries -- Linear Transformations -- Determinants -- Row Operations -- Some Factorizations -- Spectral Theory -- Vector Spaces And Fields -- Linear Transformations -- Canonical Forms -- Markov Processes -- Inner Product Spaces -- Self Adjoint Operators -- Norms -- Numerical Methods, Eigenvalues
520 0 _aThis is a book on linear algebra and matrix theory. While it is self contained, it will work best for those who have already had some exposure to linear algebra. It is also assumed that the reader has had calculus. Some optional topics require more analysis than this, however. This book features an ugly, elementary, and complete treatment of determinants early in the book. Thus it might be considered as Linear algebra done wrong. I have done this because of the usefulness of determinants. However, all major topics are also presented in an alternative manner which is independent of determinants. The book has an introduction to various numerical methods used in linear algebra. This is done because of the interesting nature of these methods. The presentation here emphasizes the reasons why they work. It does not discuss many important numerical considerations necessary to use the methods effectively. These considerations are found in numerical analysis texts.
542 1 _fAttribution-ShareAlike
546 _aIn English.
588 0 _aDescription based on online resource
650 0 _aMathematics
_vTextbooks
710 2 _aOpen Textbook Library
_edistributor
856 4 0 _uhttps://open.umn.edu/opentextbooks/textbooks/210
_zAccess online version
999 _c19617
_d19617