Applications of Geometric Algebra in Computer Science and Engineering

Applications of Geometric Algebra in Computer Science and Engineering

Buch. Zustand: Neu. Neuware -Geometric algebra has established itself as a powerful and valuablemathematical tool for solving problems in computer scienceengineering, physics, and mathematics. The articles in this volumewritten by experts in various fields, reflect an interdisciplinaryapproach to the subject, and highlight a range of techniques andapplications. Relevant ideas are introduced in a self-contained mannerand only a knowledge of linear algebra and calculus is assumed.Features and Topics:\* The mathematical foundations of geometric algebra are explored\* Applications in computational geometry include models of reflectionand ray-tracing and a new and concise characterization of thecrystallographic groups\* Applications in engineering include robotics, image geometrycontrol-pose estimation, inverse kinematics and dynamics, control andvisual navigation\* Applications in physics include rigid-body dynamics, elasticity, andelectromagnetism\* Chapters dedicated to quantum information theory dealing with multiparticle entanglement, MRI, and relativistic generalizationsPractitioners, professionals, and researchers working in computerscience, engineering, physics, and mathematics will find a wide rangeof useful applications in this state-of-the-art survey and referencebook. Additionally, advanced graduate students interested in geometricalgebra will find the most current applications and methods discussed.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 508 pp. Englisch. Artikel-Nr. 9780817642679

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