Applications of Geometric Algebra in Computer Science and Engineering:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
2002
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Geometric algebra has established itself as a powerful and valuable mathematical tool for solving problems in computer science, engineering, physics, and mathematics. The articles in this volume, written by experts in various fields, reflect an interdisciplinary approach to the subject, and highlight a range of techniques and applications. Relevant ideas are introduced in a self-contained manner and 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 reflection and ray-tracing and a new and concise characterization of the crystallographic groups * Applications in engineering include robotics, image geometry, control-pose estimation, inverse kinematics and dynamics, control and visual navigation * Applications in physics include rigid-body dynamics, elasticity, and electromagnetism * Chapters dedicated to quantum information theory dealing with multi- particle entanglement, MRI, and relativistic generalizations Practitioners, professionals, and researchers working in computer science, engineering, physics, and mathematics will find a wide range of useful applications in this state-of-the-art survey and reference book. Additionally, advanced graduate students interested in geometric algebra will find the most current applications and methods discussed |
| Beschreibung: | 1 Online-Ressource (XXV, 478 p) |
| ISBN: | 9781461200895 9781461266068 |
| DOI: | 10.1007/978-1-4612-0089-5 |
Internformat
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Datensatz im Suchindex
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-0089-5 |
| format | Electronic eBook |
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| spelling | Dorst, Leo 1958- Verfasser (DE-588)114432058 aut Applications of Geometric Algebra in Computer Science and Engineering edited by Leo Dorst, Chris Doran, Joan Lasenby Boston, MA Birkhäuser Boston 2002 1 Online-Ressource (XXV, 478 p) txt rdacontent c rdamedia cr rdacarrier Geometric algebra has established itself as a powerful and valuable mathematical tool for solving problems in computer science, engineering, physics, and mathematics. The articles in this volume, written by experts in various fields, reflect an interdisciplinary approach to the subject, and highlight a range of techniques and applications. Relevant ideas are introduced in a self-contained manner and 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 reflection and ray-tracing and a new and concise characterization of the crystallographic groups * Applications in engineering include robotics, image geometry, control-pose estimation, inverse kinematics and dynamics, control and visual navigation * Applications in physics include rigid-body dynamics, elasticity, and electromagnetism * Chapters dedicated to quantum information theory dealing with multi- particle entanglement, MRI, and relativistic generalizations Practitioners, professionals, and researchers working in computer science, engineering, physics, and mathematics will find a wide range of useful applications in this state-of-the-art survey and reference book. Additionally, advanced graduate students interested in geometric algebra will find the most current applications and methods discussed Mathematics Computer aided design Mathematical physics Engineering mathematics Applications of Mathematics Computer-Aided Engineering (CAD, CAE) and Design Mathematical Methods in Physics Appl.Mathematics/Computational Methods of Engineering Mathematik Mathematische Physik Geometrische Algebra (DE-588)4156707-9 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift 2001 Cambridge gnd-content Geometrische Algebra (DE-588)4156707-9 s 2\p DE-604 Doran, Chris Sonstige (DE-588)133474275 oth Lasenby, Joan Sonstige oth https://doi.org/10.1007/978-1-4612-0089-5 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Dorst, Leo 1958- Applications of Geometric Algebra in Computer Science and Engineering Mathematics Computer aided design Mathematical physics Engineering mathematics Applications of Mathematics Computer-Aided Engineering (CAD, CAE) and Design Mathematical Methods in Physics Appl.Mathematics/Computational Methods of Engineering Mathematik Mathematische Physik Geometrische Algebra (DE-588)4156707-9 gnd |
| subject_GND | (DE-588)4156707-9 (DE-588)1071861417 |
| title | Applications of Geometric Algebra in Computer Science and Engineering |
| title_auth | Applications of Geometric Algebra in Computer Science and Engineering |
| title_exact_search | Applications of Geometric Algebra in Computer Science and Engineering |
| title_full | Applications of Geometric Algebra in Computer Science and Engineering edited by Leo Dorst, Chris Doran, Joan Lasenby |
| title_fullStr | Applications of Geometric Algebra in Computer Science and Engineering edited by Leo Dorst, Chris Doran, Joan Lasenby |
| title_full_unstemmed | Applications of Geometric Algebra in Computer Science and Engineering edited by Leo Dorst, Chris Doran, Joan Lasenby |
| title_short | Applications of Geometric Algebra in Computer Science and Engineering |
| title_sort | applications of geometric algebra in computer science and engineering |
| topic | Mathematics Computer aided design Mathematical physics Engineering mathematics Applications of Mathematics Computer-Aided Engineering (CAD, CAE) and Design Mathematical Methods in Physics Appl.Mathematics/Computational Methods of Engineering Mathematik Mathematische Physik Geometrische Algebra (DE-588)4156707-9 gnd |
| topic_facet | Mathematics Computer aided design Mathematical physics Engineering mathematics Applications of Mathematics Computer-Aided Engineering (CAD, CAE) and Design Mathematical Methods in Physics Appl.Mathematics/Computational Methods of Engineering Mathematik Mathematische Physik Geometrische Algebra Konferenzschrift 2001 Cambridge |
| url | https://doi.org/10.1007/978-1-4612-0089-5 |
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