000 02546nam a22004335i 4500
001 978-0-85729-760-0
003 DE-He213
005 20140220083715.0
007 cr nn 008mamaa
008 110610s2011 xxk| s |||| 0|eng d
020 _a9780857297600
_9978-0-85729-760-0
024 7 _a10.1007/978-0-85729-760-0
_2doi
050 4 _aQA76.9.C62
072 7 _aUMB
_2bicssc
072 7 _aUYF
_2bicssc
072 7 _aCOM036000
_2bisacsh
082 0 4 _a004
_223
100 1 _aVince, John.
_eauthor.
245 1 0 _aQuaternions for Computer Graphics
_h[electronic resource] /
_cby John Vince.
264 1 _aLondon :
_bSpringer London,
_c2011.
300 _aXIV, 140p. 33 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
520 _aSir William Rowan Hamilton was a genius, and will be remembered for his significant contributions to physics and mathematics. The Hamiltonian, which is used in quantum physics to describe the total energy of a system, would have been a major achievement for anyone, but Hamilton also invented quaternions, which paved the way for modern vector analysis. Quaternions are one of the most documented inventions in the history of mathematics, and this book is about their invention, and how they are used to rotate vectors about an arbitrary axis. Apart from introducing the reader to the features of quaternions and their associated algebra, the book provides valuable historical facts that bring the subject alive. Quaternions for Computer Graphics introduces the reader to quaternion algebra by describing concepts of sets, groups, fields and rings. It also includes chapters on imaginary quantities, complex numbers and the complex plane, which are essential to understanding quaternions. The book contains many illustrations and worked examples, which make it essential reading for students, academics, researchers and professional practitioners.
650 0 _aComputer science.
650 1 4 _aComputer Science.
650 2 4 _aArithmetic and Logic Structures.
650 2 4 _aMathematical Logic and Formal Languages.
650 2 4 _aMathematics of Computing.
650 2 4 _aMath Applications in Computer Science.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780857297594
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-85729-760-0
912 _aZDB-2-SCS
999 _c105273
_d105273