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020 _a9783031649080
_9978-3-031-64908-0
024 7 _a10.1007/978-3-031-64908-0
_2doi
050 4 _aQC19.2-20.85
072 7 _aPHU
_2bicssc
072 7 _aSCI040000
_2bisacsh
072 7 _aPHU
_2thema
100 1 _aPapadopoulos, Nikolaos A.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_985972
245 1 0 _aLinear Algebra for Physics
_h[electronic resource] /
_cby Nikolaos A. Papadopoulos, Florian Scheck.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2024.
300 _aXVIII, 401 p. 24 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aThe Role of Group Action -- A Fresh Look at Vector Spaces -- The Role of Bases -- Spacetime and Linear Algebra -- The Role of Matrices -- The Role of Dual Spaces -- The Role of Determinants -- First Look at Tensors -- The Role of Eigenvalues and Eigenvectors -- Operators on Inner Product Spaces -- Positive Operators - Isometries - Real Inner Product Spaces -- Applications -- Duality -- Tensor Formalism.
520 _aThis textbook provides a full treatment of Linear Algebra devoted to undergraduate and graduate physics students. Although the mathematical level is similar to the corresponding mathematical textbooks in regard to definitions, propositions and proofs, it adopts a language and approach more attuned to the reader’s familiarity with physics lectures and physics textbooks. A distinctive feature is the emphasis placed on the significance of bases within a vector space. As a result, students gain a deeper understanding of how vector indices, despite their abundance, serve not as enemies but as friends since they give additional information about the mathematical objects being used, and facilitate access to tensor formalism. The book offers numerous worked examples and exercises with solution hints to deepen this knowledge.
650 0 _aMathematical physics.
650 0 _aAlgebras, Linear.
_971217
650 1 4 _aMathematical Methods in Physics.
_970877
650 2 4 _aLinear Algebra.
_971220
650 2 4 _aMathematical Physics.
700 1 _aScheck, Florian.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_985973
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031649073
776 0 8 _iPrinted edition:
_z9783031649097
776 0 8 _iPrinted edition:
_z9783031649103
856 4 0 _uhttps://doi.org/10.1007/978-3-031-64908-0
912 _aZDB-2-PHA
912 _aZDB-2-SXP
999 _c64177
_d64177