Geometric algebra for physicists

Chris Doran, Anthony Lasenby

592 pages, parution le 03/06/2003

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Résumé

Geometric algebra is a powerful mathematical language with applications across a range of subjects in physics and engineering.

This book is a complete guide to the current state of the subject with early chapters providing a self-contained introduction to geometric algebra.
Topics covered include new techniques for handling rotations in arbitrary dimensions, and the links between rotations, bivectors and the structure of the Lie groups. Following chapters extend the concept of a complex analytic function theory to arbitrary dimensions, with applications in quantum theory and electromagnetism.
Later chapters cover advanced topics such as non-Euclidean geometry, quantum entanglement, and gauge theories. Applications such as black holes and cosmic strings are also explored. Suitable for researchers working in the fields of relativity and quantum theory, it can also be used as a graduate text for courses on the physical applications of geometric algebra.

Introduction
Geometric algebra in two and three dimensions
Classical mechanics
Foundations of geometric algebra
Relativity and spacetime
Geometric calculus
Classical electrodynamics
Quantum theory and spinors
Multiparticle states and quantum entanglement
Geometry
Further topics in calculus and group theory
Lagrangian and Hamiltonian techniques
Symmetry and gauge theory
Gravitation

Bibliography
Index

Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Chris Doran, Anthony Lasenby
Parution	03/06/2003
Nb. de pages	592
Format	18 x 25,5
Couverture	Relié
Poids	1320g
Intérieur	Noir et Blanc
EAN13	9780521480222
ISBN13	978-0-521-48022-2