Geometric algebra for physicists [EBook] / Chris Doran and Anthony Lasenby.
Geometric algebra for physicists [EBook] / Chris Doran and Anthony Lasenby.
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 ne...
Personal Name(s):  Doran, Chris, (author) 

Lasenby, A. N., (author)  
Imprint: 
Cambridge :
Cambridge University Press,
2003

Physical Description: 
1 online resource (xiv, 578 pages) 
Note: 
englisch 
ISBN: 
9780521715959 9780511807497 9780521480222 
Subject (LOC):  
Full Text 
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. 