000			03389nam a22005295i 4500
001			978-3-0348-0622-0
003			DE-He213
005			20140220082506.0
007			cr nn 008mamaa
008			140108s2014 sz | s |||| 0|eng d
020			_a9783034806220 _9978-3-0348-0622-0
024	7		_a10.1007/978-3-0348-0622-0 _2doi
050		4	_aQA252-252.5
072		7	_aPBF _2bicssc
072		7	_aMAT002010 _2bisacsh
082	0	4	_a512.48 _223
100	1		_aMorais, João Pedro. _eauthor.
245	1	0	_aReal Quaternionic Calculus Handbook _h[electronic resource] / _cby João Pedro Morais, Svetlin Georgiev, Wolfgang Sprößig.
264		1	_aBasel : _bSpringer Basel : _bImprint: Birkhäuser, _c2014.
300			_aXII, 216 p. 1 illus. in color. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_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.
520			_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.
650		0	_aMathematics.
650		0	_aMatrix theory.
650		0	_aAlgebra.
650		0	_aFunctions of complex variables.
650		0	_aCombinatorics.
650		0	_aGeometry.
650	1	4	_aMathematics.
650	2	4	_aNon-associative Rings and Algebras.
650	2	4	_aFunctions of a Complex Variable.
650	2	4	_aCombinatorics.
650	2	4	_aLinear and Multilinear Algebras, Matrix Theory.
650	2	4	_aGeometry.
700	1		_aGeorgiev, Svetlin. _eauthor.
700	1		_aSprößig, Wolfgang. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783034806213
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-0348-0622-0
912			_aZDB-2-SMA
999			_c92443 _d92443