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

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

Autorentext
Carlile Lavor is a Full Professor at the Department of Applied Mathematics at the University of Campinas, Brazil. He holds a Ph.D. in Computer Sciences from the Federal University of Rio de Janeiro, Brazil, with post-doc studies at Duke University, USA; École Polytechnique Paris LIX, France; and the National Laboratory for Scientific Computing (LNCC), Brazil. He co-authored the books Introduction to Distance Geometry Applied to Molecular Geometry and Euclidean Distance Geometry, and co-edited the book Distance Geometry.
Sebastian Xambó-Descamps is a Full Professor of Information and Coding Theory at the Technical University of Catalonia, Spain. He holds a Ph.D. in Mathematics from the University of Barcelona, and an M.Sc. degree in Mathematics from Brandeis University, USA. He authored the books Block Error-Correcting Codes and The Enumerative Theory of Conics after Halphen, edited Enumerative Geometry, and co-edited "Cosmology, Quantum Vacuum and Zeta Functions," among other books.
Isiah Zaplana graduated with a degree in Mathematics from the University of Murcia (Spain), and holds a Ph.D. in Automatic Control, Robotics and Computer Vision from the Technical University of Catalonia (Spain). He currently works in the Advanced Robotics Department of the Italian Institute of Technology as a PostDoc. His main research interest concerns to the links between robotics and mathematics.

Inhalt
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.