LEADER 03912nam 22005415 450 001 996546839203316 005 20240416201141.0 010 $a9783031174117$b(electronic bk.) 010 $z9783031174100 024 7 $a10.1007/978-3-031-17411-7 035 $a(MiAaPQ)EBC7186293 035 $a(Au-PeEL)EBL7186293 035 $a(CKB)26050278100041 035 $a(DE-He213)978-3-031-17411-7 035 $a(PPN)267811705 035 $a(EXLCZ)9926050278100041 100 $a20230124d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 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 $a3rd ed. 2023. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2023. 215 $a1 online resource (519 pages) 300 $aIncludes index. 311 08$aPrint version: Vince, John Foundation Mathematics for Computer Science Cham : Springer International Publishing AG,c2023 9783031174100 327 $a1.Visual Mathematics -- 2.Numbers -- 3.Systems of Counting -- 4.Algebra -- 5.Logic -- 6.Combinatorics -- 7.Probability -- 8.Modular Arithmetic -- 9.Trigonometry -- 10.Coordinate Systems -- 11.Determinants -- 12.Vectors -- 13.Complex Numbers -- 14.Matrices -- 15.Geometric Matrix Transforms -- 16.Calculus: Derivatives -- 17.Calculus: Integration -- 18.Area -- 19.Volume -- Appendix A -- Appendix B -- Index. 330 $aIn this third edition of Foundation Mathematics for Computer Science, John Vince has reviewed and edited the second edition, and added chapters on systems of counting, area and volume. These subjects complement the existing chapters on visual mathematics, numbers, algebra, logic, combinatorics, probability, modular arithmetic, trigonometry, coordinate systems, determinants, vectors, complex numbers, 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 that 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 calculating area and volume using calculus. Readers will find that the author?s visual approach should greatly improve their understanding as to why certain mathematical structures exist, together with how they are used in real-world applications. This third 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 $aMathematics of Computing 606 $aComputer Graphics 606 $aMathematical Applications in Computer Science 615 0$aComputer science?Mathematics. 615 0$aComputer graphics. 615 14$aMathematics of Computing. 615 24$aComputer Graphics. 615 24$aMathematical Applications in Computer Science. 676 $a004.0151 700 $aVince$b John $0564065 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a996546839203316 996 $aFoundation Mathematics for Computer Science$92257607 997 $aUNISA