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

 eBook
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ISBN-13:
9783319906652
Einband:
eBook
Seiten:
128
Autor:
Carlile Lavor
Serie:
SpringerBriefs in Mathematics
eBook Typ:
PDF
eBook Format:
PDF
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:

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.