LEADER 04759nam 22008535 450 001 9910300150903321 005 20200702051938.0 010 $a3-0348-0622-1 024 7 $a10.1007/978-3-0348-0622-0 035 $a(CKB)3710000000085753 035 $a(EBL)1636457 035 $a(SSID)ssj0001187491 035 $a(PQKBManifestationID)11773451 035 $a(PQKBTitleCode)TC0001187491 035 $a(PQKBWorkID)11257675 035 $a(PQKB)10816601 035 $a(DE-He213)978-3-0348-0622-0 035 $a(MiAaPQ)EBC6311231 035 $a(MiAaPQ)EBC1636457 035 $a(Au-PeEL)EBL1636457 035 $a(CaPaEBR)ebr10968974 035 $a(OCoLC)922907656 035 $a(PPN)176102922 035 $a(EXLCZ)993710000000085753 100 $a20140108d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aReal Quaternionic Calculus Handbook /$fby João Pedro Morais, Svetlin Georgiev, Wolfgang Sprößig 205 $a1st ed. 2014. 210 1$aBasel :$cSpringer Basel :$cImprint: Birkhäuser,$d2014. 215 $a1 online resource (222 p.) 300 $aDescription based upon print version of record. 311 $a3-0348-0621-3 320 $aIncludes bibliographical references (pages [211]-213) and index. 327 $a1 An introduction to quaternions -- 2 Quaternions and spatial rotation -- 3 Quaternion sequences -- 4 Quaternion series and infinite products -- 5 Exponents and logarithms -- 6 Trigonometric functions -- 7 Hyperbolic functions -- 8 Inverse hyperbolic and trigonometric functions -- 9 Quaternion matrices -- 10 Monomials, polynomials and binomials -- 11 Solutions -- Bibliography -- Index. 330 $aReal quaternion analysis is a multi-faceted subject. Created to describe phenomena in special relativity, electrodynamics, spin etc., it has developed into a body of material that interacts with many branches of mathematics, such as complex analysis, harmonic analysis, differential geometry, and differential equations. It is also a ubiquitous factor in the description and elucidation of problems in mathematical physics. In the meantime real quaternion analysis has become a well established branch in mathematics and has been greatly successful in many different directions. This book is based on concrete examples and exercises rather than general theorems, thus making it suitable for an introductory one- or two-semester undergraduate course on some of the major aspects of real quaternion analysis in exercises. Alternatively, it may be used for beginning graduate level courses and as a reference work. With exercises at the end of each chapter and its straightforward writing style the book addresses readers who have no prior knowledge on this subject but have a basic background in graduate mathematics courses, such as real and complex analysis, ordinary differential equations, partial differential equations, and theory of distributions. 606 $aNonassociative rings 606 $aRings (Algebra) 606 $aFunctions of complex variables 606 $aCombinatorial analysis 606 $aMatrix theory 606 $aAlgebra 606 $aGeometry 606 $aNon-associative Rings and Algebras$3https://scigraph.springernature.com/ontologies/product-market-codes/M11116 606 $aFunctions of a Complex Variable$3https://scigraph.springernature.com/ontologies/product-market-codes/M12074 606 $aCombinatorics$3https://scigraph.springernature.com/ontologies/product-market-codes/M29010 606 $aLinear and Multilinear Algebras, Matrix Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M11094 606 $aGeometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21006 615 0$aNonassociative rings. 615 0$aRings (Algebra) 615 0$aFunctions of complex variables. 615 0$aCombinatorial analysis. 615 0$aMatrix theory. 615 0$aAlgebra. 615 0$aGeometry. 615 14$aNon-associative Rings and Algebras. 615 24$aFunctions of a Complex Variable. 615 24$aCombinatorics. 615 24$aLinear and Multilinear Algebras, Matrix Theory. 615 24$aGeometry. 676 $a512.5 700 $aMorais$b João Pedro$4aut$4http://id.loc.gov/vocabulary/relators/aut$01064908 702 $aGeorgiev$b Svetlin$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aSprößig$b Wolfgang$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300150903321 996 $aReal Quaternionic Calculus Handbook$92541510 997 $aUNINA