书目名称 | Space-Time Algebra | 编辑 | David Hestenes | 视频video | | 概述 | Spacetime Algebra (STA) provides a unified, coordinate-free mathematical framework for both classical and quantum physics.STA reduces electrodynamics to a single Maxwell equation with explicit kinship | 图书封面 |  | 描述 | .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 mathematica | 出版日期 | Book 2015Latest edition | 关键词 | Clifford Algebra; Lorentz transformations; Minkowski Space-Time; differential geometry; geometric calcul | 版次 | 2 | doi | https://doi.org/10.1007/978-3-319-18413-5 | isbn_softcover | 978-3-319-38688-1 | isbn_ebook | 978-3-319-18413-5 | copyright | Springer International Publishing Switzerland 2015 |
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