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001 978-1-4757-1949-9
003 DE-He213
005 20220801140059.0
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008 130611s1987 xxu| s |||| 0|eng d
020 _a9781475719499
_9978-1-4757-1949-9
024 7 _a10.1007/978-1-4757-1949-9
_2doi
050 4 _aQA184-205
072 7 _aPBF
_2bicssc
072 7 _aMAT002050
_2bisacsh
072 7 _aPBF
_2thema
082 0 4 _a512.5
_223
100 1 _aLang, Serge.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_931944
245 1 0 _aLinear Algebra
_h[electronic resource] /
_cby Serge Lang.
250 _a3rd ed. 1987.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c1987.
300 _aIX, 285 p.
_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,
_x2197-5604
505 0 _aI Vector Spaces -- II Matrices -- III Linear Mappings -- IV Linear Maps and Matrices -- V Scalar Products and Orthogonality -- VI Determinants -- VII Symmetric, Hermitian, and Unitary Operators -- VIII Eigenvectors and Eigenvalues -- IX Polynomials and Matrices -- X Triangulation of Matrices and Linear Maps -- XI Polynomials and Primary Decomposition -- XII Convex Sets -- Appendix I Complex Numbers -- Appendix II Iwasawa Decomposition and Others.
520 _aLinear Algebra is intended for a one-term course at the junior or senior level. It begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorems for linear maps, including eigenvectors and eigenvalues, quadric and hermitian forms, diagonalization of symmetric, hermitian, and unitary linear maps and matrices, triangulation, and Jordan canonical form. The book also includes a useful chapter on convex sets and the finite-dimensional Krein-Milman theorem. The presentation is aimed at the student who has already had some exposure to the elementary theory of matrices, determinants, and linear maps. However, the book is logically self-contained. In this new edition, many parts of the book have been rewritten and reorganized, and new exercises have been added.
650 0 _aAlgebras, Linear.
_94004
650 1 4 _aLinear Algebra.
_92159
710 2 _aSpringerLink (Online service)
_931945
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9781441930811
776 0 8 _iPrinted edition:
_z9780387964126
776 0 8 _iPrinted edition:
_z9781475719505
830 0 _aUndergraduate Texts in Mathematics,
_x2197-5604
_931946
856 4 0 _uhttps://doi.org/10.1007/978-1-4757-1949-9
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
912 _aZDB-2-BAE
942 _cEBK
999 _c75160
_d75160