Tag Archives: multilinear algebra

Einstein-Penrose ‘s strong sum convention

the rank one tensors’ basis changes



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wedge product example

When bivectors are defined by


so, for two generic covectors

\theta=a\beta^1+b\beta^2+c\beta^3 and \phi=d\beta^1+e\beta^2+f\beta^3,

we have the bivector




Cf. this with the data \left(\begin{array}{c}a\\b\\c\end{array}\right) and \left(\begin{array}{c}d\\e\\f\end{array}\right) to construct the famous


So, nobody should be confused about the uses of the symbol \wedge dans le calcul vectoriel XD


Filed under algebra, cucei math, differential geometry, math analysis, mathematics, multilinear algebra, what is math, word algebra

need more?

¿necesitas o requieres un tema en particular? si es alrededor de álgebra multilineal, anímate a interaccionar. También tenemos topología de dimensiones bajas y más…

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solution to a visual quizz

the correction is:

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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

local math brochures

Follow the links to get acquainted with the contents what we will work this semester.

They are

Also, let me feedback you mentioning the topics which can be get into it to work on thesis (B.Sc. or M.Sc.) or else

  • differential geometry
  • differential topology
  • low dimensional topology
  • algebra  and analysis
  • sum of reciprocal inverses integers problem

These are fun  really!

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Filed under 3-manifolds, algebra, fiber bundle, geometry, latex, low dimensional topology, math, mathematics, multilinear algebra, sum of reciprocals, what is math

simuexam de multi 2011a

simuexam de multi 2011a

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Filed under algebra, differential geometry, math, multilinear algebra