| 000 | 04512nam a22005895i 4500 | ||
|---|---|---|---|
| 001 | 021660432 | ||
| 003 | UkOxU | ||
| 005 | 20200610124819.0 | ||
| 006 | m o d | ||
| 007 | cr nn 008mamaa | ||
| 008 | 180512s2018 gw | o |||| 0|eng d | ||
| 020 | _a9783319783611 | ||
| 024 | 7 |
_a10.1007/978-3-319-78361-1 _2doi |
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| 035 | _a(DE-He213)978-3-319-78361-1 | ||
| 040 | _aАнагаах ухааны төв номын сан | ||
| 050 | 4 | _aQC5.53 | |
| 072 | 7 |
_aPHU _2bicssc |
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| 072 | 7 |
_aSCI040000 _2bisacsh |
|
| 072 | 7 |
_aPHU _2thema |
|
| 082 | 0 | 4 |
_a530.15 _223 |
| 245 | 0 | 0 |
_aLinear Algebra and Analytic Geometry for Physical Sciences / _cby Giovanni Landi, Alessandro Zampini. |
| 250 | _a1st ed. 2018. | ||
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2018. |
|
| 300 | _a1 online resource (XII, 345 p.) | ||
| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
||
| 490 | 0 |
_aUndergraduate Lecture Notes in Physics, _x2192-4791 |
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| 500 | _aOnline access provided by SpringerLink. | ||
| 505 | 0 | _aIntroduction -- Vectors and coordinate systems -- Vector spaces -- Euclidean vector spaces -- Matrices -- The determinant -- Systems of linear equations -- Linear transformations -- Dual spaces -- Endomorphisms and diagonalization -- Spectral theorems on euclidean spaces -- Rotations -- Spectral theorems on hermitian spaces -- Quadratic forms -- Affine linear geometry -- Euclidean affine linear geometry -- Conic sections -- A Algebraic Structures -- A.1 A few notions of Set Theory -- A.2 Groups -- A.3 Rings and Fields -- A.4 Maps between algebraic structures -- A5 Complex numbers -- A.6 Integers modulo a prime number. | |
| 520 | _aA self-contained introduction to finite dimensional vector spaces, matrices, systems of linear equations, spectral analysis on euclidean and hermitian spaces, affine euclidean geometry, quadratic forms and conic sections. The mathematical formalism is motivated and introduced by problems from physics, notably mechanics (including celestial) and electro-magnetism, with more than two hundreds examples and solved exercises. Topics include: The group of orthogonal transformations on euclidean spaces, in particular rotations, with Euler angles and angular velocity. The rigid body with its inertia matrix. The unitary group. Lie algebras and exponential map. The Dirac's bra-ket formalism. Spectral theory for self-adjoint endomorphisms on euclidean and hermitian spaces. The Minkowski spacetime from special relativity and the Maxwell equations. Conic sections with the use of eccentricity and Keplerian motions. An appendix collects basic algebraic notions like group, ring and field; and complex numbers and integers modulo a prime number. The book will be useful to students taking a physics or engineer degree for a basic education as well as for students who wish to be competent in the subject and who may want to pursue a post-graduate qualification. | ||
| 546 | _aEnglish | ||
| 588 | _aDescription based on Springer metadata. | ||
| 650 | 0 |
_aMathematical physics. _940309 |
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| 650 | 0 |
_aMatrix theory. _940310 |
|
| 650 | 0 |
_aEngineering mathematics. _940311 |
|
| 650 | 0 |
_aGeometry. _940312 |
|
| 650 | 0 |
_aComputer science. _940313 |
|
| 650 | 1 | 4 |
_aMathematical Methods in Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19013 _940314 |
| 650 | 2 | 4 |
_aLinear and Multilinear Algebras, Matrix Theory. _0http://scigraph.springernature.com/things/product-market-codes/M11094 _93134 |
| 650 | 2 | 4 |
_aMathematical and Computational Engineering. _0http://scigraph.springernature.com/things/product-market-codes/T11006 _940315 |
| 650 | 2 | 4 |
_aGeometry. _0http://scigraph.springernature.com/things/product-market-codes/M21006 _940312 |
| 650 | 2 | 4 |
_aMath Applications in Computer Science. _0http://scigraph.springernature.com/things/product-market-codes/I17044 _940316 |
| 650 | 2 | 4 |
_aMathematical Applications in the Physical Sciences. _0http://scigraph.springernature.com/things/product-market-codes/M13120 _940317 |
| 720 | 1 |
_aLandi, Giovanni, _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
| 720 | 1 |
_aZampini, Alessandro, _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
| 776 | 0 | 8 |
_iPrinted edition: _z9783319783604 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319783628 |
| 856 | 4 | 0 |
_uhttps://online.fliphtml5.com/lluzx/bcsl/ _zЦахимаар унших |
| 942 |
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