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020 _a9781447175056
_9978-1-4471-7505-6
024 7 _a10.1007/978-1-4471-7505-6
_2doi
050 4 _aT385
072 7 _aUML
_2bicssc
072 7 _aCOM012000
_2bisacsh
072 7 _aUML
_2thema
082 0 4 _a006.6
_223
100 1 _aVince, John.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aVector Analysis for Computer Graphics
_h[electronic resource] /
_cby John Vince.
250 _a2nd ed. 2021.
264 1 _aLondon :
_bSpringer London :
_bImprint: Springer,
_c2021.
300 _aXIII, 246 p. 141 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 _aPreface -- History of Vector Analysis -- Linear Equations -- Vector Algebra -- Products of Vectors -- Differentiating Vector-Valued Functions -- Vector Differential Operators -- Tangent and Normal Vectors -- Straight Lines -- The Plane -- Intersections -- Rotating Vectors -- Index.
520 _aThis second edition has been completely restructured, resulting in a compelling description of vector analysis from its first appearance as a byproduct of Hamilton’s quaternions to the use of vectors in solving geometric problems. The result provides readers from different backgrounds with a complete introduction to vector analysis. The author shows why vectors are so useful and how it is possible to develop analytical skills in manipulating vector algebra. Using over 150 full-colour illustrations, the author demonstrates in worked examples how this relatively young branch of mathematics has become a powerful and central tool in describing and solving a wide range of geometric problems. These may be in the form of lines, surfaces and volumes, which may touch, collide, intersect, or create shadows upon complex surfaces. The book is divided into eleven chapters covering the history of vector analysis, linear equations, vector algebra, vector products, differentiating vector-valued functions, vector differential operators, tangent and normal vectors, straight lines, planes, intersections and rotating vectors. The new chapters are about the history, differentiating vector-valued functions, differential operators and tangent and normal vectors. The original chapters have been reworked and illustrated.
650 0 _aComputer graphics.
650 0 _aAlgebraic geometry.
650 1 4 _aComputer Graphics.
650 2 4 _aAlgebraic Geometry.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9781447175049
776 0 8 _iPrinted edition:
_z9781447175063
776 0 8 _iPrinted edition:
_z9781447175070
856 4 0 _uhttps://doi.org/10.1007/978-1-4471-7505-6
912 _aZDB-2-SCS
912 _aZDB-2-SXCS
942 _cSPRINGER
999 _c177493
_d177493