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.

Schlagwörter

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