Let $V$ be a symplectic vector space, i.e. a vector space with a non-degenerate alternating bilinear form, a so-called symplectic form. There is a theorem:
All symplectic forms on $V$ are ismorphic.
I have two questions about this:
1) Can somebody explain what it means precisely that two symplectic forms are isomorphic?
2) Could somebode give references on this statement with or without proof?
Thank you very much.