Geometric Algebra for Physicists (Paperback)
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Short Description for Geometric Algebra for Physicists First fully self-contained introduction to geometric algebra by two leading experts in the field.
- Published: 31 December 2007
- Format: Paperback 592 pages
- ISBN 13: 9780521715959 ISBN 10: 0521715954
- Sales rank: 313,432
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Full description for Geometric Algebra for Physicists
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.