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 ebook additionally indicates how geometric algebra should be utilized to various primary difficulties in physics, particularly in experimental events. This reference starts off with numerous chapters that current the mathematical basics of geometric algebra. It introduces the fundamental positive factors 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 subject matters into 3 dimensions. next chapters observe those basics to varied universal actual eventualities. The authors exhibit how Maxwell's equations will 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 conception, discussing the Dirac equation, wave services, and fiber bundles. the ultimate bankruptcy specializes in the appliance of geometric algebra to difficulties of the quantization of gravity. by way of protecting the robust method of utilising geometric algebra to all branches of physics, this ebook presents a pioneering textual content for undergraduate and graduate scholars in addition to an invaluable reference for researchers within the box.
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