A Geometric Algebra Invitation to Space-Time Physics, Robotics and Molecular Geometry [electronic resource] /
Lavor, Carlile.author.
Xambó-Descamps, Sebastià.author.
Zaplana, Isiah.author.
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.
Chapter 01- Low dimensional geometric algebras -- Chapter 02- Conformal geometric algebra -- Chapter 03- Minkowski's space time -- Chapter 04- Robot kinematics -- Chapter 05- Molecular geometry.
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.
Geometry.
Mathematical physics.
Computer science—Mathematics.
Geometry.
Mathematical Applications in the Physical Sciences.
Symbolic and Algebraic Manipulation.