EPTOn February 05 2012 19:11 Jombozeus wrote:
I am currently taking Calc B in my college freshman year, and I've taken regular math in highschool with only introduction to vectors. So I am what you would call a stereotypical -meh- math student that would be learning vectors.
I read through your explanation of vectors 3 times and I have not a single fucking clue what its saying.
Which I guess proves you wrong.
I am currently taking Calc B in my college freshman year, and I've taken regular math in highschool with only introduction to vectors. So I am what you would call a stereotypical -meh- math student that would be learning vectors.
I read through your explanation of vectors 3 times and I have not a single fucking clue what its saying.
Which I guess proves you wrong.
Physics vectors and real numbers 17, (1,2) or (3,4,5) are just a special case of vectors called n-tuples with n being the dimension. They are the vectors of vector spaces R, R^2, R^3 which are called euclidean vector spaces after the famous mathematician Euclid who developed the geometry in these spaces in his book "Elements".
Vector spaces are just sets of elements like the real numbers with additional structure, like how to combine them etc(that big list of things he wrote).
These elements can also be functions, complex numbers and polynomials etc so long as they obey those properties he wrote. And because they do obey those property's it gives rise to a lot of new property's that can be derived like the inner product etc.
And just like sets you can have subsets(smaller sets that are contained in the original set) which when they obey these property's they are subspaces
Linear algebra is just the study of these Vector spaces and their subspaces and mappings between vector spaces which preserve linearity(maps a line to a line).
But Im curious if vectors are just a further special case of tensors?, only In first year so I havent come across them properly
