LEADER 02963nam 2200469 450 001 9910483643903321 005 20220128151838.0 010 $a1-4471-7505-0 024 7 $a10.1007/978-1-4471-7505-6 035 $a(CKB)4100000011951228 035 $a(DE-He213)978-1-4471-7505-6 035 $a(MiAaPQ)EBC6635583 035 $a(Au-PeEL)EBL6635583 035 $a(OCoLC)1257297219 035 $a(PPN)260306614 035 $a(EXLCZ)994100000011951228 100 $a20220128d2021 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aVector analysis for computer graphics /$fJohn Vince 205 $aSecond edition. 210 1$aLondon, England :$cSpringer,$d[2021] 210 4$dİ2021 215 $a1 online resource (XIII, 246 p. 141 illus. in color.) 311 $a1-4471-7504-2 320 $aIncludes bibliographical references and index. 327 $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. 330 $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. 606 $aComputer graphics$xMathematics 615 0$aComputer graphics$xMathematics. 676 $a006.60151 700 $aVince$b John$g(John A.),$0471760 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910483643903321 996 $aVector analysis for computer graphics$92586339 997 $aUNINA