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Geometric algebra for physicists
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Geometric algebra for physicists

Geometric algebra for physicists

Chris Doran, Anthony Lasenby

592 pages, parution le 03/06/2003

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.

Contents

  • 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

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