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Origins of Geometric Algebra

  • David Hestenes
Part of the Fundamental Theories of Physics book series (FTPH, volume 15)

Abstract

There is a tendency among physicists to take mathematics for granted, to regard the development of mathematics as the business of mathematicians. However, history shows that most mathematics of use in physics has origins in successful attacks on physical problems. The advance of physics has gone hand in hand with the development of a mathematical language to express and exploit the theory. Mathematics today is an immense and imposing subject, but there is no reason to suppose that the evolution of a mathematical language for physics is complete. The task of improving the language of physics requires intimate knowledge of how the language is to be used and how it refers to the physical world, so it involves more than mathematics. It is one of the fundamental tasks of theoretical physics.

Keywords

Line Segment Geometric Algebra Vector Addition Outer Product Distributive Rule 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. M. Kline, Mathematical Thought from Ancient to Modern Times, Oxford U. Press, N.Y. (1972).MATHGoogle Scholar
  2. B. L. Van der Waarden, Science Awakening, Wiley, N.Y. (1963).Google Scholar
  3. W. K. Clifford, Common Sense of the Exact Sciences (1978), reprinted by Dover, N.Y. (1946).Google Scholar

Copyright information

© D. Reidel Publishing Company, Dordrecht, Holland 1987

Authors and Affiliations

  • David Hestenes
    • 1
  1. 1.Department of PhysicsArizona State UniversityTempeUSA

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