Difference between map, applymap and apply methods in Pandas

Question

Can you tell me when to use these vectorization methods with basic examples?

I see that map is a Series method whereas the rest are

Answer 1

@jeremiahbuddha mentioned that apply works on row/columns, while applymap works element-wise. But it seems you can still use apply for element-wise computation....

frame.apply(np.sqrt)
Out[102]: 
               b         d         e
Utah         NaN  1.435159       NaN
Ohio    1.098164  0.510594  0.729748
Texas        NaN  0.456436  0.697337
Oregon  0.359079       NaN       NaN

frame.applymap(np.sqrt)
Out[103]: 
               b         d         e
Utah         NaN  1.435159       NaN
Ohio    1.098164  0.510594  0.729748
Texas        NaN  0.456436  0.697337
Oregon  0.359079       NaN       NaN