03949nam 22005415 450 99646546200331620200706072259.03-030-42078-710.1007/978-3-030-42078-9(CKB)4100000010771019(DE-He213)978-3-030-42078-9(MiAaPQ)EBC6138258(PPN)243229313(EXLCZ)99410000001077101920200317d2020 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierFoundation Mathematics for Computer Science[electronic resource] A Visual Approach /by John Vince2nd ed. 2020.Cham :Springer International Publishing :Imprint: Springer,2020.1 online resource (XIX, 407 p. 278 illus., 254 illus. in color.) 3-030-42077-9 Visual 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.In 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. .Computer science—MathematicsComputer graphicsComputer mathematicsMathematics of Computinghttps://scigraph.springernature.com/ontologies/product-market-codes/I17001Computer Graphicshttps://scigraph.springernature.com/ontologies/product-market-codes/I22013Mathematical Applications in Computer Sciencehttps://scigraph.springernature.com/ontologies/product-market-codes/M13110Computer science—Mathematics.Computer graphics.Computer mathematics.Mathematics of Computing.Computer Graphics.Mathematical Applications in Computer Science.004.0151Vince Johnauthttp://id.loc.gov/vocabulary/relators/aut564065MiAaPQMiAaPQMiAaPQBOOK996465462003316Foundation Mathematics for Computer Science2257607UNISA