| 000 | 03515nam a22004815i 4500 | ||
|---|---|---|---|
| 001 | 978-3-319-24346-7 | ||
| 003 | DE-He213 | ||
| 005 | 20200712171057.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 151120s2015 gw | s |||| 0|eng d | ||
| 020 |
_a9783319243467 _9978-3-319-24346-7 |
||
| 024 | 7 |
_a10.1007/978-3-319-24346-7 _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 |
_aLiesen, Jörg. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
| 245 | 1 | 0 |
_aLinear Algebra _h[electronic resource] / _cby Jörg Liesen, Volker Mehrmann. |
| 250 | _a1st ed. 2015. | ||
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2015. |
|
| 300 |
_aXI, 324 p. 22 illus. _bonline resource. |
||
| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 347 |
_atext file _bPDF _2rda |
||
| 490 | 1 |
_aSpringer Undergraduate Mathematics Series, _x1615-2085 |
|
| 505 | 0 | _aLinear Algebra in every day life -- Basic mathematical concepts -- Algebraic structures -- Matrices -- The echelon form and the rank of matrices -- Linear systems of equations -- Determinants of matrices -- The characteristic polynomial and eigenvalues of matrices -- Vector spaces -- Linear maps -- Linear forms and bilinear forms -- Euclidean and unitary vector spaces -- Adjoints of linear maps -- Eigenvalues of endomorphisms -- Polynomials and the Fundamental Theorem of Algebra -- Cyclic subspaces, duality and the Jordan canonical form -- Matrix functions and systems of differential equations -- Special classes of endomorphisms -- The singular value decomposition -- The Kronecker product and linear matrix equations. | |
| 520 | _aThis self-contained textbook takes a matrix-oriented approach to linear algebra and presents a complete theory, including all details and proofs, culminating in the Jordan canonical form and its proof. Throughout the development, the applicability of the results is highlighted. Additionally, the book presents special topics from applied linear algebra including matrix functions, the singular value decomposition, the Kronecker product and linear matrix equations. The matrix-oriented approach to linear algebra leads to a better intuition and a deeper understanding of the abstract concepts, and therefore simplifies their use in real world applications. Some of these applications are presented in detailed examples. In several ‘MATLAB-Minutes’ students can comprehend the concepts and results using computational experiments. Necessary basics for the use of MATLAB are presented in a short introduction. Students can also actively work with the material and practice their mathematical skills in more than 300 exercises. | ||
| 650 | 0 | _aMatrix theory. | |
| 650 | 0 | _aAlgebra. | |
| 650 | 1 | 4 |
_aLinear and Multilinear Algebras, Matrix Theory. _0http://scigraph.springernature.com/things/product-market-codes/M11094 |
| 700 | 1 |
_aMehrmann, Volker. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319243443 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319243450 |
| 830 | 0 |
_aSpringer Undergraduate Mathematics Series, _x1615-2085 |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-319-24346-7 |
| 912 | _aZDB-2-SMA | ||
| 999 |
_c18007 _d18007 |
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| 942 | _cebook | ||