Guide to Geometric Algebra in Practice
暫譯: 實用幾何代數指南
- 出版商: Springer
- 出版日期: 2014-09-06
- 售價: $7,280
- 貴賓價: 9.5 折 $6,916
- 語言: 英文
- 頁數: 476
- 裝訂: Paperback
- ISBN: 1447158970
- ISBN-13: 9781447158974
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商品描述
This highly practical Guide to Geometric Algebra in Practice reviews algebraic techniques for geometrical problems in computer science and engineering, and the relationships between them. The topics covered range from powerful new theoretical developments, to successful applications, and the development of new software and hardware tools. Topics and features: provides hands-on review exercises throughout the book, together with helpful chapter summaries; presents a concise introductory tutorial to conformal geometric algebra (CGA) in the appendices; examines the application of CGA for the description of rigid body motion, interpolation and tracking, and image processing; reviews the employment of GA in theorem proving and combinatorics; discusses the geometric algebra of lines, lower-dimensional algebras, and other alternatives to 5-dimensional CGA; proposes applications of coordinate-free methods of GA for differential geometry.
商品描述(中文翻譯)
這本實用的《幾何代數實務指南》回顧了計算機科學和工程中幾何問題的代數技術及其之間的關係。涵蓋的主題從強大的新理論發展到成功的應用,以及新軟體和硬體工具的開發。主題和特點包括:全書提供實作回顧練習,並附有有用的章節摘要;在附錄中提供了簡明的共形幾何代數 (Conformal Geometric Algebra, CGA) 入門教程;探討 CGA 在剛體運動描述、插值與追蹤以及影像處理中的應用;回顧 GA 在定理證明和組合數學中的應用;討論直線的幾何代數、低維代數及其他 5 維 CGA 的替代方案;提出無坐標 GA 方法在微分幾何中的應用。