LEADER 03949nam 22005415 450 001 996465462003316 005 20200706072259.0 010 $a3-030-42078-7 024 7 $a10.1007/978-3-030-42078-9 035 $a(CKB)4100000010771019 035 $a(DE-He213)978-3-030-42078-9 035 $a(MiAaPQ)EBC6138258 035 $a(PPN)243229313 035 $a(EXLCZ)994100000010771019 100 $a20200317d2020 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFoundation Mathematics for Computer Science$b[electronic resource] $eA Visual Approach /$fby John Vince 205 $a2nd ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (XIX, 407 p. 278 illus., 254 illus. in color.) 311 $a3-030-42077-9 327 $aVisual Mathematics -- Numbers -- Algebra -- Logic -- Combinatories -- Probability -- Modular Arithmetic -- Trigonometry -- Coordinate Systems -- Determinants -- Vectors -- Complex Numbers -- Matrices -- Geometric Matrix Transforms -- Calculus: Derivatives -- Calculus: Integration -- Appendix A -- Appendix B -- Index. 330 $aIn this second edition of Foundation Mathematics for Computer Science, John Vince has reviewed and edited the original book and written new chapters on combinatorics, probability, modular arithmetic and complex numbers. These subjects complement the existing chapters on number systems, algebra, logic, trigonometry, coordinate systems, determinants, vectors, matrices, geometric matrix transforms, differential and integral calculus. During this journey, the author touches upon more esoteric topics such as quaternions, octonions, Grassmann algebra, Barrycentric coordinates, transfinite sets and prime numbers. John Vince describes a range of mathematical topics to provide a solid foundation for an undergraduate course in computer science, starting with a review of number systems and their relevance to digital computers, and finishing with differential and integral calculus. Readers will find that the author?s visual approach will greatly improve their understanding as to why certain mathematical structures exist, together with how they are used in real-world applications. This second edition includes new, full-colour illustrations to clarify the mathematical descriptions, and in some cases, equations are also coloured to reveal vital algebraic patterns. The numerous worked examples will help consolidate the understanding of abstract mathematical concepts. Whether you intend to pursue a career in programming, scientific visualisation, artificial intelligence, systems design, or real-time computing, you should find the author?s literary style refreshingly lucid and engaging, and prepare you for more advanced texts. . 606 $aComputer science?Mathematics 606 $aComputer graphics 606 $aComputer mathematics 606 $aMathematics of Computing$3https://scigraph.springernature.com/ontologies/product-market-codes/I17001 606 $aComputer Graphics$3https://scigraph.springernature.com/ontologies/product-market-codes/I22013 606 $aMathematical Applications in Computer Science$3https://scigraph.springernature.com/ontologies/product-market-codes/M13110 615 0$aComputer science?Mathematics. 615 0$aComputer graphics. 615 0$aComputer mathematics. 615 14$aMathematics of Computing. 615 24$aComputer Graphics. 615 24$aMathematical Applications in Computer Science. 676 $a004.0151 700 $aVince$b John$4aut$4http://id.loc.gov/vocabulary/relators/aut$0564065 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996465462003316 996 $aFoundation Mathematics for Computer Science$92257607 997 $aUNISA