| Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA443.SPR FCT 98039 (Browse shelf) | 1 | Available |
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| QA443.SPR FCT 97021 The universe of conics | QA443.SPR FCT 97693 Geometric inequalities | QA443.SPR FCT 98034 A geometric algebra invitation to space-time physics, robotics and molecular geometry | QA443.SPR FCT 98039 Real spinorial groups | QA445.SPR FCT 81073 Worlds out of nothing | QA445.SPR FCT 81091 Affine maps, euclidean motions and quadrics | QA445.SPR FCT 81267 Geometric methods and applications |
Colocação: Online
This book explores the Lipschitz spinorial groups (versor, pinor, spinor and rotor groups) of a real non-degenerate orthogonal geometry (or orthogonal geometry, for short) and how they relate to the group of isometries of that geometry. After a concise mathematical introduction, it offers an axiomatic presentation of the geometric algebra of an orthogonal geometry. Once it has established the language of geometric algebra (linear grading of the algebra; geometric, exterior and interior products; involutions), it defines the spinorial groups, demonstrates their relation to the isometry groups, and illustrates their suppleness (geometric covariance) with a variety of examples. Lastly, the book provides pointers to major applications, an extensive bibliography and an alphabetic index. Combining the characteristics of a self-contained research monograph and a state-of-the-art survey, this book is a valuable foundation reference resource on applications for both undergraduate and graduate students.
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