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Space-Time Algebra (Hardcover, 2nd ed. 2015)
Loot Price: R3,448
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Space-Time Algebra (Hardcover, 2nd ed. 2015)
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This small book started a profound revolution in the development of
mathematical physics, one which has reached many working physicists
already, and which stands poised to bring about far-reaching change
in the future. At its heart is the use of Clifford algebra to unify
otherwise disparate mathematical languages, particularly those of
spinors, quaternions, tensors and differential forms. It provides a
unified approach covering all these areas and thus leads to a very
efficient 'toolkit' for use in physical problems including quantum
mechanics, classical mechanics, electromagnetism and relativity
(both special and general) - only one mathematical system needs to
be learned and understood, and one can use it at levels which
extend right through to current research topics in each of these
areas. These same techniques, in the form of the 'Geometric
Algebra', can be applied in many areas of engineering, robotics and
computer science, with no changes necessary - it is the same
underlying mathematics, and enables physicists to understand topics
in engineering, and engineers to understand topics in physics
(including aspects in frontier areas), in a way which no other
single mathematical system could hope to make possible. There is
another aspect to Geometric Algebra, which is less tangible, and
goes beyond questions of mathematical power and range. This is the
remarkable insight it gives to physical problems, and the way it
constantly suggests new features of the physics itself, not just
the mathematics. Examples of this are peppered throughout
'Space-Time Algebra', despite its short length, and some of them
are effectively still research topics for the future. From the
Foreward by Anthony Lasenby
General
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