EAN: 9783030004033

Bilder-Quelle: discount24.de - Sport-Freizeit

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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