001463438 000__ 04094cam\a22005897i\4500 001463438 001__ 1463438 001463438 003__ OCoLC 001463438 005__ 20230601003320.0 001463438 006__ m\\\\\o\\d\\\\\\\\ 001463438 007__ cr\cn\nnnunnun 001463438 008__ 230425s2023\\\\sz\a\\\\o\\\\\001\0\eng\d 001463438 019__ $$a1376764300 001463438 020__ $$a9783031281174$$qelectronic book 001463438 020__ $$a3031281179$$qelectronic book 001463438 020__ $$z9783031281167 001463438 020__ $$z3031281160 001463438 0247_ $$a10.1007/978-3-031-28117-4$$2doi 001463438 035__ $$aSP(OCoLC)1377292196 001463438 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDX$$dEBLCP$$dYDX 001463438 049__ $$aISEA 001463438 050_4 $$aT385$$b.V56 2023 001463438 08204 $$a006.601/51$$223/eng/20230425 001463438 1001_ $$aVince, John.$$eauthor. 001463438 24510 $$aCalculus for computer graphics /$$cJohn Vince. 001463438 250__ $$aThird edition. 001463438 264_1 $$aCham :$$bSpringer,$$c2023. 001463438 300__ $$a1 online resource (xviii, 379 pages) :$$billustrations (some color) 001463438 336__ $$atext$$btxt$$2rdacontent 001463438 337__ $$acomputer$$bc$$2rdamedia 001463438 338__ $$aonline resource$$bcr$$2rdacarrier 001463438 5050_ $$aIntroduction -- Functions -- Limits and Derivatives -- Derivatives and Antiderivatives -- Higher Derivatives -- Partial Derivatives -- Integral Calculus -- Area Under a Graph -- Are Length and Parameterisation of Curves -- Surface Area -- Volume -- Vector-Valued Functions -- Vector Differential Operators -- Tangent and Normal Vectors -- Continuity -- Curvature -- Solving Differential Equations -- Conclusion. Appendix A -- Appendix B -- Index. 001463438 506__ $$aAccess limited to authorized users. 001463438 520__ $$aStudents studying different branches of computer graphics need to be familiar with geometry, matrices, vectors, rotation transforms, quaternions, curves and surfaces. And as computer graphics software becomes increasingly sophisticated, calculus is also being used to resolve its associated problems. In this 3rd edition, the author extends the scope of the original book to include vector differential operators and differential equations and draws upon his experience in teaching mathematics to undergraduates to make calculus appear no more challenging than any other branch of mathematics. He introduces the subject by examining how functions depend upon their independent variables, and then derives the appropriate mathematical underpinning and definitions. This gives rise to a function's derivative and its antiderivative, or integral. Using the idea of limits, the reader is introduced to derivatives and integrals of many common functions. Other chapters address higher-order derivatives, partial derivatives, Jacobians, vector-based functions, single, double and triple integrals, with numerous worked examples and almost two hundred colour illustrations. This book complements the author's other books on mathematics for computer graphics and assumes that the reader is familiar with everyday algebra, trigonometry, vectors and determinants. After studying this book, the reader should understand calculus and its application within the world of computer graphics, games and animation. 001463438 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed April 25, 2023). 001463438 650_0 $$aComputer graphics$$xMathematics. 001463438 650_0 $$aCalculus. 001463438 655_0 $$aElectronic books. 001463438 77608 $$iPrint version: $$z3031281160$$z9783031281167$$w(OCoLC)1369597467 001463438 852__ $$bebk 001463438 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-28117-4$$zOnline Access$$91397441.1 001463438 909CO $$ooai:library.usi.edu:1463438$$pGLOBAL_SET 001463438 980__ $$aBIB 001463438 980__ $$aEBOOK 001463438 982__ $$aEbook 001463438 983__ $$aOnline 001463438 994__ $$a92$$bISE