Chris Doran

Geometric Algebra for Physicists (eBook, PDF)

• Format: PDF

Produktbeschreibung

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. 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.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 22. November 2007
• Englisch
• ISBN-13: 9781139632416
• Artikelnr.: 39295330

Autorenporträt

Chris Doran is Associate Professor of Religion at Pepperdine University in Malibu, California. His research and teaching have been on a variety of areas related to the interaction between theology and science. His current work focuses on developing theological responses to climate change and its effects on human and nonhuman creatures as well as the rest of creation.

Inhaltsangabe

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.