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Geometric Algebra for PhysicistsChris Doran and Anthony LasenbyThis book is available from CUP.
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. |
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![]() ErrataClick here for a list of known errata. |