A Geometric Algebra Invitation to Space-Time Physics, Robotics and Molecular Geometry
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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.
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.
Offers details on a state-of-art survey with the characteristics of a self-contained research monograph Useful for both advanced undergraduate and graduate students with a basic background in linear algebra and geometry Condenses theoretical and applied results without sacrificing quality or readability
Autor*in
Carlile Lavor
Themen in »A Geometric Algebra Invitation to Space-Time Physics, Robotics and Molecular Geometry«
geometric algebra projective geometry conformal geometrical algebra Lorentz transformations Maxwell’s equations Dirac equation robot kinematics inverse kinematics molecular geometry distance geometry NMR data 3D protein structures Clifford algebra
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“The present booklet is a concise presentation of main tools of geometric algebras (GAs) with selected instances of domains in which these tools are sucessfully implemented. … this brief is a very nice introduction to the subject of some important contemporary topics.” (Mircea Crâşmăreanu, zbMATH 1395.00007, 2018)
“The book under review is an abbreviated introduction to Geometric Algebra and some of its uses. … At just about 120 pages this book offers a brisk and exceling view of the many roles of Geometric Algebra.” (Jeff Ibbotson, MAA Reviews, February, 2019)
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