Geometric Algebra for Physicists [Paperback]

The first fully self-contained introduction to geometric algebra by two leading experts in the field.Geometric Algebra has advanced rapidly in the last ten years, becoming an important topic in the physics and engineering communities. As leading experts in the field the authors have led many of these new developments. This book provides an introduction to the subject covering applications such as black hole physics and quantum computing. Suitable as a textbook for graduate courses on the physical applications of geometric algebra, this book is also a valuable reference for all researchers working in the fields of relativity and quantum theory.Geometric Algebra has advanced rapidly in the last ten years, becoming an important topic in the physics and engineering communities. As leading experts in the field the authors have led many of these new developments. This book provides an introduction to the subject covering applications such as black hole physics and quantum computing. Suitable as a textbook for graduate courses on the physical applications of geometric algebra, this book is also a valuable reference for all researchers working in the fields of relativity and quantum theory.This book is a complete guide to the current state of geometric algebra with early chapters providing a self-contained introduction. Topics range from new techniques for handling rotations in arbitrary dimensions, the links between rotations, bivectors, the structure of the Lie groups, non-Euclidean geometry, quantum entanglement, and gauge theories. Applications such as black holes and cosmic strings are also explored.Preface; Notation; 1. Introduction; 2. Geometric algebra in two and three dimensions; 3. Classical mechanics; 4. Foundations of geometric algebra; 5. Relativity and spacetime; 6. Geometric calculus; 7. Classical electrodynamics; 8. Quantum theory and spinors; 9. Multiparticle states and quantum entanglement; 10. Geometry; 11. Further topics in calculus and group theory; 12.l£#