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 It features previously unpublished research results with complete proofs and many open problems at various levels, as well as more than 200 exercises to facilitate use by students and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 01228nam a22002773i 4500 001 991000346359707536 005 20040818100158.0 008 040920s1995 it |||||||||||||||||ita 035 $ab13207970-39ule_inst 035 $aARCHE-115421$9ExL 040 $aSet. Economia$bita$cA.t.i. Arché s.c.r.l. Pandora Sicilia s.r.l. 082 04$a346.4063 245 00$aProcessi di formazione dei principi contabili in alcuni paesi europei :$bItalia, Francia, Regno Unito, Germania /$ca cura di Angelo Provasoli e Alfredo Viganò 260 $aNapoli [etc.] :$bEdizioni scientifiche italiane,$cc1995 300 $a350 p. ;$c24 cm 440 0$aESI-uni ;$v44 650 4$aContabilità$xPaesi della Comunità europea$xLegislazione 650 4$aBilancio$xPaesi della Comunità europea$xLegislazione 700 1 $aProvasoli, Angelo 700 1 $aViganó, Alfredo 907 $a.b13207970$b02-04-14$c23-09-04 912 $a991000346359707536 945 $aLE025 ECO 346 PRO04.01$g1$i2025000169692$lle025$n2011$o-$pE0.00$q-$rl$s- $t0$u2$v2$w2$x0$y.i13863009$z23-09-04 996 $aProcessi di formazione dei principi contabili in alcuni paesi europei$9416128 997 $aUNISALENTO 998 $ale025$b23-09-04$cm$da $e-$fita$git $h0$i1 LEADER 01160nam a22003255i 4500 001 991002212929707536 007 cr nn 008mamaa 008 121227s2003 de | s |||| 0|eng d 020 $a9783540396659 035 $ab14138876-39ule_inst 040 $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematica$beng 082 04$a514.74$223 084 $aAMS 13J 084 $aAMS 58-XX 100 1 $aNavarro Gonzalez, Juan A.$0478885 245 10$aC[infinito]-differentiable spaces$h[e-book] /$cby Juan A. Navarro Gonzalez, Juan B. Sancho de Salas 260 $aBerlin :$bSpringer,$c2003 300 $a1 online resource (xvi, 196 p.) 440 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1824 650 0$aMathematics 650 0$aAlgebra 650 0$aGlobal analysis 700 1 $aSancho de Salas, Juan B. 773 0 $aSpringer eBooks 856 40$uhttp://dx.doi.org/10.1007/b13465$zAn electronic book accessible through the World Wide Web 907 $a.b14138876$b03-03-22$c05-09-13 912 $a991002212929707536 996 $aC-differentiable spaces$9254097 997 $aUNISALENTO 998 $ale013$b05-09-13$cm$d@ $e-$feng$gde $h0$i0