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A Geometric Algebra Invitation to Space-Time Physics, Robotics and Molecular Geometry

Sebastià Xambó-Descamps, Carlile Lavor, Isiah Zaplana, et al.

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Springer International Publishing img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Geometrie

Beschreibung

This book offers a gentle introduction to key elements of Geometric Algebra, along with their applications in Physics, Robotics and Molecular Geometry. Major applications covered are the physics of space-time, including Maxwell electromagnetism and the Dirac equation; robotics, including formulations for the forward and inverse kinematics and an overview of the singularity problem for serial robots; and molecular geometry, with 3D-protein structure calculations using NMR data. The book is primarily intended for graduate students and advanced undergraduates in related fields, but can also benefit professionals in search of a pedagogical presentation of these subjects.


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Schlagwörter

Clifford algebra, robot kinematics, Maxwell’s equations, molecular geometry, 3D protein structures, Lorentz transformations, projective geometry, geometric algebra, inverse kinematics, distance geometry, Dirac equation, conformal geometrical algebra, NMR data