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Birkhäuser

Clifford (Geometric) Algebras

with applications to physics, mathematics, and engineering

  • Conference proceedings
  • © 1996

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Table of contents (33 papers)

Keywords

About this book

This volume is an outgrowth of the 1995 Summer School on Theoretical Physics of the Canadian Association of Physicists (CAP), held in Banff, Alberta, in the Canadian Rockies, from July 30 to August 12,1995. The chapters, based on lectures given at the School, are designed to be tutorial in nature, and many include exercises to assist the learning process. Most lecturers gave three or four fifty-minute lectures aimed at relative novices in the field. More emphasis is therefore placed on pedagogy and establishing comprehension than on erudition and superior scholarship. Of course, new and exciting results are presented in applications of Clifford algebras, but in a coherent and user-friendly way to the nonspecialist. The subject area of the volume is Clifford algebra and its applications. Through the geometric language of the Clifford-algebra approach, many concepts in physics are clarified, united, and extended in new and sometimes surprising directions. In particular, the approach eliminates the formal gaps that traditionally separate clas­ sical, quantum, and relativistic physics. It thereby makes the study of physics more efficient and the research more penetrating, and it suggests resolutions to a major physics problem of the twentieth century, namely how to unite quantum theory and gravity. The term "geometric algebra" was used by Clifford himself, and David Hestenes has suggested its use in order to emphasize its wide applicability, and b& cause the developments by Clifford were themselves based heavily on previous work by Grassmann, Hamilton, Rodrigues, Gauss, and others.

Reviews

"Of interest due to the many provocative physical interpretations of quantum mechanics and gravitational theory suggested by the Clifford algebra approach to these theories."

—Mathematical Reviews

Editors and Affiliations

  • Department of Physics, University of Windsor, Windsor, Canada

    William E. Baylis

Bibliographic Information

  • Book Title: Clifford (Geometric) Algebras

  • Book Subtitle: with applications to physics, mathematics, and engineering

  • Editors: William E. Baylis

  • DOI: https://doi.org/10.1007/978-1-4612-4104-1

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Boston 1996

  • Hardcover ISBN: 978-0-8176-3868-9Published: 22 August 1996

  • Softcover ISBN: 978-1-4612-8654-7Published: 14 October 2011

  • eBook ISBN: 978-1-4612-4104-1Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XVIII, 517

  • Topics: Physics, general, Algebra, Differential Geometry, Mathematical Methods in Physics

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