real elementary multilinear algebra

are the common algebraic-techniques  territory for today vector algebra and differential geometry.

This means that ancient vectorcalculus that turns into differential forms nowadays, is “super-oversimplified” into a mathematical language to phrase some modern geometricalalgebrotopologicalanalitic-maths.

Real, ‘cuz first you gotta get the ideas over the field \mathbb{R}.


Filed under algebra, calculus on manifolds, category theory, differential geometry, geometry, math analysis, mathematics, multilinear algebra, topology, what is math, what is mathematics

2 responses to “real elementary multilinear algebra

    • the \mathbb{R}-multilinear algebra is the key in the generalizations of the N-L-calculus del siglo XXVII, found inter 1840-1960: Grassmann-Cartan-Lie-Stokes

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