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Books > Science & Mathematics > Mathematics > Algebra
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Geometric Algebra and Applications to Physics (Hardcover)
Loot Price: R5,633
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Geometric Algebra and Applications to Physics (Hardcover)
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Bringing geometric algebra to the mainstream of physics pedagogy,
Geometric Algebra and Applications to Physics not only presents
geometric algebra as a discipline within mathematical physics, but
the book also shows how geometric algebra can be applied to
numerous fundamental problems in physics, especially in
experimental situations. This reference begins with several
chapters that present the mathematical fundamentals of geometric
algebra. It introduces the essential features of postulates and
their underlying framework; bivectors, multivectors, and their
operators; spinor and Lorentz rotations; and Clifford algebra. The
book also extends some of these topics into three dimensions.
Subsequent chapters apply these fundamentals to various common
physical scenarios. The authors show how Maxwell's equations can be
expressed and manipulated via space-time algebra and how geometric
algebra reveals electromagnetic waves' states of polarization. In
addition, they connect geometric algebra and quantum theory,
discussing the Dirac equation, wave functions, and fiber bundles.
The final chapter focuses on the application of geometric algebra
to problems of the quantization of gravity. By covering the
powerful methodology of applying geometric algebra to all branches
of physics, this book provides a pioneering text for undergraduate
and graduate students as well as a useful reference for researchers
in the field.
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