Geometric Algebra for Physicists
 Authors:
 Chris Doran, University of Cambridge
 Anthony Lasenby, University of Cambridge
 Date Published: January 2008
 availability: Available
 format: Paperback
 isbn: 9780521715959
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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 selfcontained 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 nonEuclidean geometry, quantum entanglement, and gauge theories. Applications such as black holes and cosmic strings are also explored. It can be used as a graduate text for courses on the physical applications of geometric algebra and is also suitable for researchers working in the fields of relativity and quantum theory.
Read more The only fully selfcontained introduction to geometric algebra including applications in relativistic physics and gravitation
 The first full account of the geometric algebra approach to multiparticle quantum physics and supersymmetry
 A book written by two authors who have shaped the subject in the last decade
Reviews & endorsements
Review of the hardback: 'I would therefore highly recommend this book for anyone wishing to enter this interesting and potentially fundamental area.' Mathematics Today
See more reviews'The range of topics presented in the book is astonishing. … The present book is intended for physicists, but mathematicians will also find it highly valuable. The exposition of Grassmann's algebra given at the beginning of the book is exceptionally clear and is written with a light touch. … It is extraordinarily well written and is a beautifully produced piece.' The Mathematical Gazette
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×Product details
 Date Published: January 2008
 format: Paperback
 isbn: 9780521715959
 length: 594 pages
 dimensions: 246 x 173 x 28 mm
 weight: 1.14kg
 contains: 82 b/w illus. 135 exercises
 availability: Available
Table of Contents
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. Lagrangian and Hamiltonian techniques
13. Symmetry and gauge theory
14. Gravitation
Bibliography
Index.
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