In most of the science textbooks I read, I observed that most of them contain the terms, definitions and etymology too.
But nowadays, the mathematics textbooks are becoming more formal and contain only the relevant terms and their corresponding definitions.
Consider the following scenario:
The probability mass function is a function from the powerset of a sample space to [0,1].
The probability density function is a positive function that integrates to 1 on totality.
Both are formal definitions. Needs to be remembered.
There is some intuitive explanation regarding why we call mass function and density function. First, one tells about the value directly and hence called mass and the second one gives information about probability or area under it as probability and hence it is called a density function.
Do the textbooks covering all these aspects in historical etymology view exist for major fields of mathematics?