A field is function that assigns a value to every point in a space. The space is in general just an abstract mathematical space but in physics it is often the p

A field is function that assigns a value to every point in a space. The space is in general just an abstract mathematical space but in physics it is often the physical space we live in together with time. The air temperature on earth is a field, a function that takes a position on the ground, a height above ground, and a time and returns the temperature at that point and time. And so is the wind velocity, just that the value of the function is not the temperature, a single number also called a scalar, but a vector pointing in the direction of the wind and with a length proportional to the wind speed. Temperature is therefore called a scalar field, wind velocity a vector field, and there or other kinds of fields like tensor fields, for example, which are a generalization of scalar and vector fields.