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

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 indicates how geometric algebra might be utilized to various basic difficulties in physics, in particular in experimental occasions.

This reference starts off with numerous chapters that current the mathematical basics of geometric algebra. It introduces the fundamental positive aspects of postulates and their underlying framework; bivectors, multivectors, and their operators; spinor and Lorentz rotations; and Clifford algebra. The e-book additionally extends a few of these themes into 3 dimensions. next chapters follow those basics to varied universal actual eventualities. The authors express how Maxwell's equations may be expressed and manipulated through space-time algebra and the way geometric algebra finds electromagnetic waves' states of polarization. furthermore, they attach geometric algebra and quantum concept, 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 technique of making use of 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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