Foundation Mathematics for Computer Science: A Visual Approach
暫譯: 計算機科學基礎數學:視覺化方法

John Vince

商品描述

John Vince describes a range of mathematical topics to provide a 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.

Each chapter includes 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 consolidate comprehension of abstract mathematical concepts.

Foundation Mathematics for Computer Science covers number systems, algebra, logic, trigonometry, coordinate systems, determinants, vectors, matrices, geometric matrix transforms, differential and integral calculus, and reveals the names of the mathematicians behind such inventions. During this journey, John Vince touches upon more esoteric topics such as quaternions, octonions, Grassmann algebra, Barycentric coordinates, transfinite sets and prime numbers. Whether you intend to pursue a career in programming, scientific visualisation, 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.

商品描述(中文翻譯)

約翰·文斯(John Vince)描述了一系列數學主題,以提供計算機科學本科課程的基礎,從數字系統及其與數位計算機的相關性開始,並以微積分結束。讀者會發現,作者的「視覺方法」將大大提高他們對某些數學結構存在原因的理解,以及這些結構在現實應用中的使用方式。

每一章都包含全彩插圖,以澄清數學描述,在某些情況下,方程式也會被著色以揭示重要的代數模式。眾多的例題將鞏固對抽象數學概念的理解。

《計算機科學基礎數學》涵蓋了數字系統、代數、邏輯、三角學、坐標系、行列式、向量、矩陣、幾何矩陣變換、微積分,並揭示了這些發明背後的數學家名字。在這段旅程中,約翰·文斯還觸及了一些較為深奧的主題,如四元數、八元數、格拉斯曼代數、重心坐標、超限集合和質數。無論你打算從事編程、科學可視化、系統設計或即時計算的職業,你都會發現作者的文學風格清晰而引人入勝,並為你準備更高級的文本。