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- W4242654414 abstract "Abstract This chapter presents an introduction to linear algebra. Classical mechanics is best understood in the language of differential geometry, which itself requires a working knowledge of the key concepts in linear algebra. This chapter walks through the required knowledge from this broad discipline and guides the reader towards the goal of the next chapter, differential geometry. Topics discussed include vector spaces, linear maps, basis sets, cobases, inner products, tensors, wedge products and exterior algebra, as well as the axioms of vector space geometry. The chapter concludes with a brief discussion of Grassmann variables, which tend to crop up when classical fermionic fields are defined." @default.
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- W4242654414 date "2018-06-05" @default.
- W4242654414 modified "2023-09-24" @default.
- W4242654414 title "Calculus of Variations" @default.
- W4242654414 doi "https://doi.org/10.1093/oso/9780198822370.003.0036" @default.
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