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,$d2014. 210 4$dİ2014 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 It features previously unpublished research results with complete proofs and many open problems at various levels, as well as more than 200 exercises to facilitate use by students and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 03640nam 22006015 450 001 9910377837803321 005 20240508234049.0 010 $a9783030342883 010 $a3030342883 024 7 $a10.1007/978-3-030-34288-3 035 $a(CKB)4100000010348301 035 $a(MiAaPQ)EBC6111232 035 $a(DE-He213)978-3-030-34288-3 035 $a(PPN)25946001X 035 $a(Perlego)3480446 035 $a(EXLCZ)994100000010348301 100 $a20200218d2020 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe Eurasian Economic Union and Integration Theory /$fby Mikhail Mukhametdinov 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Palgrave Macmillan,$d2020. 215 $a1 online resource (214 pages) 300 $aIncludes index. 311 0 $a9783030342876 311 0 $a3030342875 327 $aChapter 1: Analytical Framework for the Comparison of Regions -- Chapter 2: Economic Integration -- Chapter 3: Structural Factors -- Chapter 4: Overcoming Cultural Barriers? -- Chapter 5: External Factors and Geostrategic Considerations -- Chapter 6: Conclusion. 330 $aThis book evaluates the utility of the Eurasian Economic Union in economic, political, cultural and geostrategic dimensions. It does so through a systematic comparison of the bloc with aspects of the European Union along a number of criteria derived from integration theory. The book concludes that the EAEU is a useless undertaking, at least for Russia, in any of the integration dimensions discussed. This is so because of the inherent properties of the region, and also because of the behaviour of the member states in the context of Russia's resistance to the West. Besides, the principles of liberal economics, endorsed by the union, contribute to asymmetries in development among its member states. In addition to a symbolic event spotlighting Russia's regional leadership, the union appears mainly as a shop where gas is sold below market prices, and as an import base of unskilled labour for Russia in conditions of Russia's high unemployment and underemployment. Concurrently, the book discusses Russia's grievances with the West, which have been inducing and constraining Eurasian integration at the same time. Mikhail Mukhametdinov is adjunct professor at the Samara College for the Humanities, Russia. He is formerly head of applied linguistics and foreign languages at this school and visiting scholar at Stanford University's Department of Iberian and Latin American Cultures and Harvard University's Davis Centre for Russian and Eurasian Studies. He is the author of Mercosur and the European Union: Variation and Limits of Regional Integration, published by Palgrave Macmillan. 606 $aEurope$xPolitics and government 606 $aRegionalism 606 $aComparative government 606 $aEuropean Politics 606 $aRegionalism 606 $aComparative Politics 615 0$aEurope$xPolitics and government. 615 0$aRegionalism. 615 0$aComparative government. 615 14$aEuropean Politics. 615 24$aRegionalism. 615 24$aComparative Politics. 676 $a338.947 676 $a338.9 700 $aMukhametdinov$b Mikhail$4aut$4http://id.loc.gov/vocabulary/relators/aut$0966473 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910377837803321 996 $aThe Eurasian Economic Union and Integration Theory$92193424 997 $aUNINA