FOUNDATION MATHEMATICS FOR COMPUTER SCIENCE

In this book, John Vince has reviewed and edited the third edition and added chapters on statistics, Georg Riemann’s hypothesis, eigenvectors, 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, and 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 greatly improves understanding of why certain mathematical structures exist and how they are used in real‑world applications. The book includes new, full‑colour illustrations to clarify the mathematical descriptions, and, in some cases, equations are also coloured to reveal vital algebraic patterns.

Numerous worked examples 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, preparing you for more advanced texts.