LEADER 02961nam 2200469 450 001 996464440403316 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$d©2021 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 $a996464440403316 996 $aVector analysis for computer graphics$92586339 997 $aUNISA LEADER 03448oas 2201357 a 450 001 9910146094903321 005 20260128110037.0 011 $a1948-5573 035 $a(DE-599)ZDB2522566-2 035 $a(OCoLC)320836803 035 $a(CONSER) 2009202712 035 $a(CKB)1000000000745208 035 $a(DE-599)2522566-2 035 $a(EXLCZ)991000000000745208 100 $a20090512a20089999 uy a 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aBiodemography and social biology 210 $a[Madison, Wis.] $cSociety for the Study of Social Biology$d©2008- 300 $aRefereed/Peer-reviewed 311 08$a1948-5565 531 0 $aBiodemogr. soc. biol. 606 $aSociobiology$vPeriodicals 606 $aHuman biology$xSocial aspects$vPeriodicals 606 $aDemography$vPeriodicals 606 $aEvolution 606 $aSociobiology$vPeriodicals 606 $aEvolution$vPeriodicals 606 $aDemography$vPeriodicals 606 $aSociobiology 606 $aDemography 606 $aBiological Evolution 606 $aSociobiologie$vPe?riodiques 606 $aBiologie humaine$xAspect social$vPe?riodiques 606 $aDe?mographie$vPe?riodiques 606 $aDemography$2fast 606 $aHuman biology$xSocial aspects$2fast 606 $aSociobiology$2fast 606 $aSociobiologia$2thub 606 $aBiologia humana$2thub 606 $aDemografia$2thub 606 $ademography$2aat 606 $aevolution$2aat 608 $aPeriodicals$2fast 608 $aPeriodicals.$2lcgft 608 $aRevistes electròniques.$2thub 608 $aperiodicals.$2aat 608 $aPe?riodiques.$2rvmgf 615 0$aSociobiology 615 0$aHuman biology$xSocial aspects 615 0$aDemography 615 2$aEvolution. 615 2$aSociobiology 615 2$aEvolution 615 2$aDemography 615 2$aSociobiology. 615 2$aDemography. 615 2$aBiological Evolution. 615 6$aSociobiologie 615 6$aBiologie humaine$xAspect social 615 6$aDe?mographie 615 7$aDemography 615 7$aHuman biology$xSocial aspects 615 7$aSociobiology 615 7$aSociobiologia. 615 7$aBiologia humana. 615 7$aDemografia. 615 7$ademography. 615 7$aevolution. 676 $a304.5 712 02$aSociety for the Study of Social Biology 801 0$bNSD 801 1$bNSD 801 2$bCIT 801 2$bTXA 801 2$bLGG 801 2$bVRC 801 2$bDLC 801 2$bUKMGB 801 2$bOCLCQ 801 2$bOCLCF 801 2$bOCLCO 801 2$bOCLCQ 801 2$bOCLCO 801 2$bOCLCQ 801 2$bOCLCO 801 2$bIOG 801 2$bELW 801 2$bOCLCO 801 2$bDLC 801 2$bOCLCO 801 2$bNLE 801 2$bOCLCA 801 2$bAPUMS 801 2$bU3W 801 2$bOCLCO 801 2$bAU@ 801 2$bOCLCO 801 2$bWYU 801 2$bVT2 801 2$bOCLCO 801 2$bSFB 801 2$bOCLCA 801 2$bOCLCQ 801 2$bUAB 801 2$bOCLCL 801 2$bUBQ 801 2$bOCLCL 801 2$bCNMTR 906 $aJOURNAL 912 $a9910146094903321 996 $aBiodemography and social biology$91109540 997 $aUNINA