Geometric Algebra and Applications to Physics by Venzo de Sabbata,Bidyut Kumar Datta

By Venzo de Sabbata,Bidyut Kumar Datta

Bringing geometric algebra to the mainstream of physics pedagogy, Geometric Algebra and purposes to Physics not just provides geometric algebra as a self-discipline inside of mathematical physics, however the booklet additionally exhibits how geometric algebra should be utilized to varied primary difficulties in physics, specifically in experimental events.

This reference starts off with a number of chapters that current the mathematical basics of geometric algebra. It introduces the fundamental good points of postulates and their underlying framework; bivectors, multivectors, and their operators; spinor and Lorentz rotations; and Clifford algebra. The publication additionally extends a few of these issues into 3 dimensions. next chapters observe those basics to varied universal actual situations. The authors express how Maxwell's equations will be expressed and manipulated through space-time algebra and the way geometric algebra unearths electromagnetic waves' states of polarization. additionally, they attach geometric algebra and quantum thought, discussing the Dirac equation, wave features, and fiber bundles. the ultimate bankruptcy specializes in the applying of geometric algebra to difficulties of the quantization of gravity.

By protecting the strong method of using geometric algebra to all branches of physics, this e-book offers a pioneering textual content for undergraduate and graduate scholars in addition to an invaluable reference for researchers within the field.

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