04241nam 2200673 450 991046484810332120210421194324.01-4008-5274-910.1515/9781400852741(CKB)3710000000128520(EBL)1689375(OCoLC)881568749(SSID)ssj0001228549(PQKBManifestationID)12476106(PQKBTitleCode)TC0001228549(PQKBWorkID)11167903(PQKB)11600707(MiAaPQ)EBC1689375(StDuBDS)EDZ0000989992(DE-B1597)447973(OCoLC)979742471(DE-B1597)9781400852741(Au-PeEL)EBL1689375(CaPaEBR)ebr10884735(CaONFJC)MIL619589(EXLCZ)99371000000012852020140704h20142014 uy 0engur|n|---|||||txtccrTopics in quaternion linear algebra /Leiba RodmanCourse BookPrinceton, New Jersey ;Oxfordshire, England :Princeton University Press,2014.©20141 online resource (379 p.)Princeton Series in Applied MathematicsDescription based upon print version of record.0-691-16185-2 Includes bibliographical references and index.Front matter --Contents --Preface --Chapter One. Introduction --Chapter Two. The algebra of quaternions --Chapter Three. Vector spaces and matrices: Basic theory --Chapter Four. Symmetric matrices and congruence --Chapter Five. Invariant subspaces and Jordan form --Chapter Six. Invariant neutral and semidefinite subspaces --Chapter Seven. Smith form and Kronecker canonical form --Chapter Eight. Pencils of hermitian matrices --Chapter Nine. Skewhermitian and mixed pencils --Chapter Ten. Indefinite inner products: Conjugation --Chapter Eleven. Matrix pencils with symmetries: Nonstandard involution --Chapter Twelve. Mixed matrix pencils: Nonstandard involutions --Chapter Thirteen. Indefinite inner products: Nonstandard involution --Chapter Fourteen. Matrix equations --Chapter Fifteen. Appendix: Real and complex canonical forms --Bibliography --IndexQuaternions 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 It features previously unpublished research results with complete proofs and many open problems at various levels, as well as more than 200 exercises to facilitate use by students and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.Princeton series in applied mathematics.Algebras, LinearTextbooksQuaternionsTextbooksElectronic books.Algebras, LinearQuaternions512/.5SK 230rvkRodman L.54260MiAaPQMiAaPQMiAaPQBOOK9910464848103321Topics in quaternion linear algebra2477335UNINA01717nam0 22003733i 450 UFI058745020231121125909.0978883171430320130411d2012 ||||0itac50 baitaitaitz01i xxxe z01nAlle radici del welfare all'italianaorigini e futuro di un modello sociale squilibratoMaurizio Ferrera, Valeria Fargion, Matteo JessoulaVeneziaMarsilio2012VI, 372 p.21 cm.Collana storica della Banca d'Italia. Serie saggi e ricerche7001VEA10938212001 Collana storica della Banca d'Italia. Serie saggi e ricerche7Alle radici del welfare all'italianaUBS0022231CFIV028771825921ItaliaPolitica socialeSec. 21.FIRRMLC313988I361.945PROBLEMI SOCIALI ED ASSISTENZA SOCIALE. Italia19Ferrera, MaurizioCFIV028771121223Jessoula, MatteoBVEV132474520373Fargion, ValeriaUFIV021285123132ITIT-0120130411IT-RM1248 IT-RM0460 IT-FR0098 Biblioteca Della Fondazione Pietro NenniRM1248 Biblioteca Dell' Archivio Centrale Dello StatoRM0460 Biblioteca Area Giuridico EconomicaFR0098 UFI0587450Biblioteca Area Giuridico Economica 53ATENE 25 112 53ATE0000150415 VMB A4 A 2013041120130411 23 27 53Alle radici del welfare all'italiana825921UNICAS