Foundation Mathematics for Computer Science: A Visual Approach (計算機科學的基礎數學：視覺化方法)

Vince, John

Foundation Mathematics for Computer Science: A Visual Approach
  • 出版商: Springer
  • 出版日期: 2020-03-18
  • 定價: $2,300
  • 售價: 8.0 折 $1,840
  • 語言: 英文
  • 頁數: 407
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 3030420779
  • ISBN-13: 9783030420772
  • 相關分類: Computer-Science

    • 立即出貨 (庫存=1)

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商品描述

 

In this second edition of Foundation Mathematics for Computer Science, John Vince has reviewed and edited the original book and written new chapters on combinatorics, probability, modular arithmetic and complex numbers. These subjects complement the existing chapters on number systems, algebra, logic, trigonometry, coordinate systems, determinants, vectors, 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 to 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 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.

 

This second 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.

 

 

 

商品描述(中文翻譯)

在這本《計算機科學基礎數學》的第二版中，約翰·文斯（John Vince）回顧並編輯了原書，並撰寫了關於組合學、概率、模數算術和複數的新章節。這些主題與現有的數字系統、代數、邏輯、三角學、座標系統、行列式、向量、矩陣、幾何矩陣變換、微分和積分微積分的章節相輔相成。在這個過程中，作者還觸及了更深奧的主題，如四元數、八元數、格拉斯曼代數、巴里心坐標、超限集和質數。

約翰·文斯描述了一系列數學主題，為計算機科學本科課程提供了堅實的基礎，從數字系統的回顧及其與數字計算機的相關性開始，到微分和積分微積分結束。讀者將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的理解，以及它們在現實世界應用中的使用方式。

這本第二版包含了新的全彩插圖，以澄清數學描述，並且在某些情況下，方程式也被著色以顯示重要的代數模式。眾多的實例將有助於鞏固對抽象數學概念的理解。

無論您打算從事編程、科學可視化、人工智能、系統設計還是實時計算等職業，您都應該會發現作者的文筆風格清晰易懂且引人入勝，並為您準備更高級的教材。

作者簡介

Professor John Vince began working in computer graphics at Middlesex Polytechnic in 1968. His research activities centered on computer animation software and resulted in the PICASO and PRISM animation systems. Whilst at Middlesex, he designed the UK's first MSc course in Computer Graphics and developed a popular program of short courses in computer animation for television designers. In 1986 he joined Rediffusion Simulation as a Research Consultant and worked on the development of real-time computer systems for commercial flight simulators. In 1992 he was appointed Chief Scientist of Thomson Training Simulation Ltd. In 1995 he was appointed Professor of Digital Media at the National Centre for Computer Animation at Bournemouth University and in 1999 he was made Head of Academic Group for Computer Animation. He was awarded a DSc by Brunel University in recognition of his work in computer graphics. He has written and edited over 40 books on computer graphics, computer animation and virtual reality, including the following Springer titles:

- Mathematics for Computer Graphics (2014)

- Calculus for Computer Graphics (2013)

- Matrix Transforms for Computer Games and Animation (2012)

- Expanding the Frontiers of Visual Analytics and Visualization (2012)

- Quaternions for Computer Graphics (2011)

- Rotation Transforms for Computer Graphics (2011)

 

作者簡介(中文翻譯)

約翰·文斯教授於1968年在Middlesex Polytechnic開始從事電腦圖形學的研究工作。他的研究活動主要集中在電腦動畫軟體上，並開發了PICASO和PRISM動畫系統。在Middlesex期間，他設計了英國第一個電腦圖形學碩士課程，並為電視設計師開設了一系列受歡迎的電腦動畫短期課程。1986年，他加入了Rediffusion Simulation擔任研究顧問，並參與了商業飛行模擬器的實時電腦系統開發工作。1992年，他被任命為Thomson Training Simulation Ltd的首席科學家。1995年，他被任命為波恩茅斯大學國家電腦動畫中心的數位媒體教授，並於1999年擔任電腦動畫學術團隊的負責人。他因在電腦圖形學領域的工作而獲得了布魯內爾大學頒發的DSc學位。他撰寫和編輯了40多本關於電腦圖形學、電腦動畫和虛擬現實的書籍，其中包括以下Springer出版的書籍:

- Mathematics for Computer Graphics (2014)
- Calculus for Computer Graphics (2013)
- Matrix Transforms for Computer Games and Animation (2012)
- Expanding the Frontiers of Visual Analytics and Visualization (2012)
- Quaternions for Computer Graphics (2011)
- Rotation Transforms for Computer Graphics (2011)

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