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

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.

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.