03912nam 22005415 450 99654683920331620240416201141.09783031174117(electronic bk.)978303117410010.1007/978-3-031-17411-7(MiAaPQ)EBC7186293(Au-PeEL)EBL7186293(CKB)26050278100041(DE-He213)978-3-031-17411-7(PPN)267811705(EXLCZ)992605027810004120230124d2023 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierFoundation Mathematics for Computer Science[electronic resource] A Visual Approach /by John Vince3rd ed. 2023.Cham :Springer International Publishing :Imprint: Springer,2023.1 online resource (519 pages)Includes index.Print version: Vince, John Foundation Mathematics for Computer Science Cham : Springer International Publishing AG,c2023 9783031174100 1.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.In 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.Computer science—MathematicsComputer graphicsMathematics of ComputingComputer GraphicsMathematical Applications in Computer ScienceComputer science—Mathematics.Computer graphics.Mathematics of Computing.Computer Graphics.Mathematical Applications in Computer Science.004.0151Vince John 564065MiAaPQMiAaPQMiAaPQ996546839203316Foundation Mathematics for Computer Science2257607UNISA