A Geometric Algebra Invitation to Space-Time Physics, Robotics and Molecular Geometry. 1st ed. 2018

種類:

電子ブック

責任表示:

by Carlile Lavor, Sebastià Xambó-Descamps, Isiah Zaplana

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2018

著者名:

• Lavor, Carlile.
• Xambó-Descamps, Sebastià.
• Zaplana, Isiah.
• SpringerLink (Online service)

シリーズ名:

SpringerBriefs in Mathematics ;

ISBN:

9783319906652 [3319906658]    

注記:

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.

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