Foundation Mathematics for Computer Science: A Visual Approach
暫譯: 計算機科學基礎數學：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《計算機科學基礎數學》的第二版中，John Vince 對原書進行了審查和編輯，並撰寫了有關組合學、概率論、模算術和複數的新章節。這些主題補充了現有的數系、代數、邏輯、三角學、坐標系、行列式、向量、矩陣、幾何矩陣變換、微積分等章節。在這段旅程中，作者還觸及了一些較為深奧的主題，如四元數、八元數、Grassmann 代數、巴里中心坐標、超限集合和質數。

John Vince 描述了一系列數學主題，以為計算機科學的本科課程提供堅實的基礎，從數系的回顧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，作者的視覺化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。

這一版包括新的全彩插圖，以澄清數學描述，在某些情況下，方程式也被著色以揭示重要的代數模式。眾多的例題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、人工智慧、系統設計或即時計算的職業，您都會發現作者的文風清晰而引人入勝，並為您準備更高級的文本。

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年在米德爾塞克斯理工學院開始從事電腦圖形學的研究。他的研究活動集中在電腦動畫軟體上，並導致了PICASO和PRISM動畫系統的誕生。在米德爾塞克斯期間，他設計了英國首個電腦圖形碩士課程，並為電視設計師開發了一系列受歡迎的電腦動畫短期課程。1986年，他加入Rediffusion Simulation擔任研究顧問，並參與商業飛行模擬器的即時電腦系統開發。1992年，他被任命為湯姆森訓練模擬有限公司的首席科學家。1995年，他被任命為伯恩茅斯大學數位媒體教授，並於1999年成為電腦動畫學術小組的負責人。由於他在電腦圖形學方面的貢獻，他獲得了布魯內爾大學的科學博士學位。他撰寫和編輯了超過40本有關電腦圖形學、電腦動畫和虛擬實境的書籍，包括以下幾本Springer出版的書籍：

- 電腦圖形學的數學 (2014)

- 電腦圖形學的微積分 (2013)

- 電腦遊戲和動畫的矩陣變換 (2012)

- 擴展視覺分析和可視化的前沿 (2012)

- 電腦圖形學的四元數 (2011)

- 電腦圖形學的旋轉變換 (2011)

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