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

• Main Authors: Lavor, Carlile (Author, http://id.loc.gov/vocabulary/relators/aut), Xambó-Descamps, Sebastià (http://id.loc.gov/vocabulary/relators/aut), Zaplana, Isiah (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: SpringerBriefs in Mathematics,
• Subjects: Geometry.; Mathematical physics.; Computer science-Mathematics.; Mathematical Applications in the Physical Sciences.; Symbolic and Algebraic Manipulation.
• Physical Description: X, 128 p. 20 illus., 4 illus. in color. online resource.
• ISBN: 9783319906652
• ISSN: 2191-8198
• DOI: 10.1007/978-3-319-90665-2

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.