03745nam a22004455i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050001500172072001700187072002300204072001600227100008100243245011000324250001800434264007500452300006700527336002600594337002600620338003600646347002400682505048900706520169701195650004202892650002302934650003702957650002302994650005803017710003403075773002603109776003603135776003603171856004603207912001403253912001503267999001703282978-3-031-66549-3DE-He21320251030113106.0cr nn 008mamaa240926s2024    sz |    s    |||| 0|eng d  a97830316654939978-3-031-66549-37 a10.1007/978-3-031-66549-32doi 4aQA76.9.M35 7aUYAM2bicssc 7aCOM0140002bisacsh 7aUYAM2thema1 aVince, John.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut98502310aFoundation Mathematics for Computer Scienceh[electronic resource] :bA Visual Approach /cby John Vince.  a4th ed. 2024. 1aCham :bSpringer International Publishing :bImprint: Springer,c2024.  aXXV, 638 p. 296 illus., 295 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda0 aVisual mathematics -- Numbers -- Systems of counting -- Algebra -- Logic -- Combinatorics -- Probability -- Statistics -- Modular arithmetic -- Trigonometry -- Coordinate systems -- Curves -- Determinants -- Vectors -- Equations -- Complex numbers -- The Riemann hypothesis -- Matrices -- Geometric matrix transforms -- Analytic geometry -- Eigenvectors and eigenvalues -- Calculus: Derivatives -- Calculus: Integration -- Area -- Volume -- Fourier series -- Appendix A -- Appendix B.  aIn this book, John Vince has reviewed and edited the third edition and added chapters on statistics, Georg Riemann’s hypothesis, eigen vectors, curves, analytic geometry and Fourier analysis. 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, barycentric 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 book 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 visualization, 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. . 0aComputer sciencexMathematics.964041 0aComputer graphics.14aMathematics of Computing.96650124aComputer Graphics.24aMathematical Applications in Computer Science.9655182 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303166548608iPrinted edition:z978303166550940uhttps://doi.org/10.1007/978-3-031-66549-3  aZDB-2-SCS  aZDB-2-SXCS  c63717d63717