+Vector Spaces

Themes

Vector spaces, their functions and functionals

For info on linear maps on vector spaces, see that survey.

For numerical analysis, conditioning, stability, differnce equations, differential equations: see Numerical analysis ref.

Characterization of research effort

See linear algebra survey.

Interpretations and applications

Not necessarily just an abstraction of geometric 3-D or 2-D spaces. Many other things modelled by fixed length sequences of numbers.

Modelling the real world

A number can represent a weight, height etc.. It could mean a certain combination of weight, height etc..

Functions as vectors

Using coefficients

Take the polynomial P(x,t) of degree 6 with coefficients given by the vector t. Thus, one can

Using the domain

See function spaces section.