02902nam a22004695i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050001700172072001600189072002300205072001500228100009400243245010200337250001800439264007500457300004600532336002600578337002600604338003600630347002400666505041100690520083501101650002601936650002901962650004401991650002702035650002602062700008502088710003402173773002602207776003602233776003602269776003602305856004602341912001402387912001402401999001702415978-3-031-64908-0DE-He21320251030113140.0cr nn 008mamaa241014s2024    sz |    s    |||| 0|eng d  a97830316490809978-3-031-64908-07 a10.1007/978-3-031-64908-02doi 4aQC19.2-20.85 7aPHU2bicssc 7aSCI0400002bisacsh 7aPHU2thema1 aPapadopoulos, Nikolaos A.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut98597210aLinear Algebra for Physicsh[electronic resource] /cby Nikolaos A. Papadopoulos, Florian Scheck.  a1st ed. 2024. 1aCham :bSpringer International Publishing :bImprint: Springer,c2024.  aXVIII, 401 p. 24 illus.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda0 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.  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. 0aMathematical physics. 0aAlgebras, Linear.97121714aMathematical Methods in Physics.97087724aLinear Algebra.97122024aMathematical Physics.1 aScheck, Florian.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut9859732 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303164907308iPrinted edition:z978303164909708iPrinted edition:z978303164910340uhttps://doi.org/10.1007/978-3-031-64908-0  aZDB-2-PHA  aZDB-2-SXP  c64177d64177