Magnetic fields

Can someone please tell me what are the differences between magnetic flux density, magnetic flux and magnetic flux linkage

Flux density is flux per unit area, so it measures how "tightly" the lines of flux are concentrated and is a way of measuring the strength of a magnetic field.
Flux linkage usually applies to coils and depends on the number of turns of wire they have.
Flux linkage is found from multiplying the flux by the number of turns.

The formula is Flux = flux density x area
or
Flux density = flux / area
and

Flux linkage is flux x number of turns