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020 _a9783031665493
_9978-3-031-66549-3
024 7 _a10.1007/978-3-031-66549-3
_2doi
050 4 _aQA76.9.M35
072 7 _aUYAM
_2bicssc
072 7 _aCOM014000
_2bisacsh
072 7 _aUYAM
_2thema
100 1 _aVince, John.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_985023
245 1 0 _aFoundation Mathematics for Computer Science
_h[electronic resource] :
_bA Visual Approach /
_cby John Vince.
250 _a4th ed. 2024.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2024.
300 _aXXV, 638 p. 296 illus., 295 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _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.
520 _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. .
650 0 _aComputer science
_xMathematics.
_964041
650 0 _aComputer graphics.
650 1 4 _aMathematics of Computing.
_966501
650 2 4 _aComputer Graphics.
650 2 4 _aMathematical Applications in Computer Science.
_965518
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031665486
776 0 8 _iPrinted edition:
_z9783031665509
856 4 0 _uhttps://doi.org/10.1007/978-3-031-66549-3
912 _aZDB-2-SCS
912 _aZDB-2-SXCS
999 _c63717
_d63717