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

Carlile Lavor, Sebastià Xambó-Descamps, Isiah Zaplana (Autoren)

eBook Download: PDF

2018 | 1st ed. 2018
X, 128 Seiten
Springer International Publishing (Verlag)
978-3-319-90665-2 (ISBN)

Infos

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.

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.

Produkt-Details

• Erscheint lt. Verlag: 12.7.2018
• Reihe/Serie: SpringerBriefs in Mathematics
• Reihe/Serie: SpringerBriefs in Mathematics
• Zusatzinfo: X, 128 p. 20 illus., 4 illus. in color.
• Verlagsort: Cham
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Schlagworte: 3D protein structures • Clifford Algebra • conformal geometrical algebra • Dirac equation • distance geometry • Geometric Algebra • inverse kinematics • Lorentz transformations • Maxwell’s equations • molecular geometry • NMR data • Projective Geometry • Robot kinematics
• ISBN-10: 3-319-90665-8 / 3319906658
• ISBN-13: 978-3-319-90665-2 / 9783319906652