LEADER 04241nam 2200673 450 001 9910464848103321 005 20210421194324.0 010 $a1-4008-5274-9 024 7 $a10.1515/9781400852741 035 $a(CKB)3710000000128520 035 $a(EBL)1689375 035 $a(OCoLC)881568749 035 $a(SSID)ssj0001228549 035 $a(PQKBManifestationID)12476106 035 $a(PQKBTitleCode)TC0001228549 035 $a(PQKBWorkID)11167903 035 $a(PQKB)11600707 035 $a(MiAaPQ)EBC1689375 035 $a(StDuBDS)EDZ0000989992 035 $a(DE-B1597)447973 035 $a(OCoLC)979742471 035 $a(DE-B1597)9781400852741 035 $a(Au-PeEL)EBL1689375 035 $a(CaPaEBR)ebr10884735 035 $a(CaONFJC)MIL619589 035 $a(EXLCZ)993710000000128520 100 $a20140704h20142014 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aTopics in quaternion linear algebra /$fLeiba Rodman 205 $aCourse Book 210 1$aPrinceton, New Jersey ;$aOxfordshire, England :$cPrinceton University Press,$d2014. 210 4$d©2014 215 $a1 online resource (379 p.) 225 1 $aPrinceton Series in Applied Mathematics 300 $aDescription based upon print version of record. 311 0 $a0-691-16185-2 320 $aIncludes bibliographical references and index. 327 $tFront matter --$tContents --$tPreface --$tChapter One. Introduction --$tChapter Two. The algebra of quaternions --$tChapter Three. Vector spaces and matrices: Basic theory --$tChapter Four. Symmetric matrices and congruence --$tChapter Five. Invariant subspaces and Jordan form --$tChapter Six. Invariant neutral and semidefinite subspaces --$tChapter Seven. Smith form and Kronecker canonical form --$tChapter Eight. Pencils of hermitian matrices --$tChapter Nine. Skewhermitian and mixed pencils --$tChapter Ten. Indefinite inner products: Conjugation --$tChapter Eleven. Matrix pencils with symmetries: Nonstandard involution --$tChapter Twelve. Mixed matrix pencils: Nonstandard involutions --$tChapter Thirteen. Indefinite inner products: Nonstandard involution --$tChapter Fourteen. Matrix equations --$tChapter Fifteen. Appendix: Real and complex canonical forms --$tBibliography --$tIndex 330 $aQuaternions are a number system that has become increasingly useful for representing the rotations of objects in three-dimensional space and has important applications in theoretical and applied mathematics, physics, computer science, and engineering. This is the first book to provide a systematic, accessible, and self-contained exposition of quaternion linear algebra. It features previously unpublished research results with complete proofs and many open problems at various levels, as well as more than 200 exercises to facilitate use by students and instructors. Applications presented in the book include numerical ranges, invariant semidefinite subspaces, differential equations with symmetries, and matrix equations. Designed for researchers and students across a variety of disciplines, the book can be read by anyone with a background in linear algebra, rudimentary complex analysis, and some multivariable calculus. Instructors will find it useful as a complementary text for undergraduate linear algebra courses or as a basis for a graduate course in linear algebra. The open problems can serve as research projects for undergraduates, topics for graduate students, or problems to be tackled by professional research mathematicians. The book is also an invaluable reference tool for researchers in fields where techniques based on quaternion analysis are used. 410 0$aPrinceton series in applied mathematics. 606 $aAlgebras, Linear$vTextbooks 606 $aQuaternions$vTextbooks 608 $aElectronic books. 615 0$aAlgebras, Linear 615 0$aQuaternions 676 $a512/.5 686 $aSK 230$2rvk 700 $aRodman$b L.$054260 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910464848103321 996 $aTopics in quaternion linear algebra$92477335 997 $aUNINA LEADER 00912nam0 2200301 450 001 9910582701103321 005 20220720104647.0 010 $a9788832854282 100 $a20220720d2022----km y0itay50 ba 101 0 $aita 102 $aIT 105 $a 001yy 200 1 $aInterrogare la ricerca qualitativa$epratiche critiche e sovversive$fAngelo Benozzo, Vincenza Priola 210 $aMilano$cRaffaello Cortina$d2022 215 $a280 p.$cill.$d22 cm 225 1 $aIndividuo gruppo organizzazione$eTheatrum 454 0$12001 610 0 $aRicerca$aMetodo qualitativo 676 $a300.72$v22$zita 700 1$aBenozzo,$bAngelo$0144247 701 1$aPriola,$bVincenza$01250507 801 0$aIT$bUNINA$gREICAT$2UNIMARC 901 $aBK 912 $a9910582701103321 952 $a300.72 BEN 3$b9257$fBFS 959 $aBFS 996 $aInterrogare la ricerca qualitativa$92898396 997 $aUNINA LEADER 01204nam a22002651i 4500 001 991000611649707536 005 20030128153537.0 008 021019s1973 fr |||||||||||||||||fre 020 $a2252014806 035 $ab12029853-39ule_inst 035 $aARCHE-011965$9ExL 040 $aDip.to Filologia Ling. e Lett.$bita$cA.t.i. 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