04216nam 22008055 450 991030015090332120251113204154.03-0348-0622-110.1007/978-3-0348-0622-0(CKB)3710000000085753(EBL)1636457(SSID)ssj0001187491(PQKBManifestationID)11773451(PQKBTitleCode)TC0001187491(PQKBWorkID)11257675(PQKB)10816601(DE-He213)978-3-0348-0622-0(MiAaPQ)EBC6311231(MiAaPQ)EBC1636457(Au-PeEL)EBL1636457(CaPaEBR)ebr10968974(OCoLC)922907656(PPN)176102922(EXLCZ)99371000000008575320140108d2014 u| 0engur|n|---|||||txtccrReal Quaternionic Calculus Handbook /by João Pedro Morais, Svetlin Georgiev, Wolfgang Sprößig1st ed. 2014.Basel :Springer Basel :Imprint: Birkhäuser,2014.1 online resource (222 p.)Description based upon print version of record.3-0348-0621-3 Includes bibliographical references (pages [211]-213) and index.1 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.Real 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 thebook 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.Nonassociative ringsFunctions of complex variablesDiscrete mathematicsAlgebras, LinearGeometryNon-associative Rings and AlgebrasFunctions of a Complex VariableDiscrete MathematicsLinear AlgebraGeometryNonassociative rings.Functions of complex variables.Discrete mathematics.Algebras, Linear.Geometry.Non-associative Rings and Algebras.Functions of a Complex Variable.Discrete Mathematics.Linear Algebra.Geometry.512.5Morais João Pedroauthttp://id.loc.gov/vocabulary/relators/aut1064908Georgiev Svetlinauthttp://id.loc.gov/vocabulary/relators/autSprößig Wolfgangauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910300150903321Real Quaternionic Calculus Handbook2541510UNINA