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  3. Geometric Algebra for Physicists
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    • Publisher:
      Cambridge University Press
      Publication date:
      05 January 2013
      29 May 2003
      ISBN:
      9780511807497
      9780521715959
      DOI:
      https://doi.org/10.1017/CBO9780511807497
      Dimensions:
      Weight & Pages:
      Dimensions:
      (247 x 174 mm)
      Weight & Pages:
      1.14kg, 594 Pages
      • Subjects:
      Mathematics, Physics and Astronomy, Mathematical Physics, Theoretical Physics and Mathematical Physics
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    Subjects:
    Mathematics, Physics and Astronomy, Mathematical Physics, Theoretical Physics and Mathematical Physics
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    Book description

    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.

    Reviews

    Review of the hardback:'I would therefore highly recommend this book for anyone wishing to enter this interesting and potentially fundamental area.'

    Source: Mathematics Today

    '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.'

    Source: The Mathematical Gazette

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