Waving about "families of mathematics" when selling a product is just an attempt to bamboozle the gullible.

The number of branches of mathematics that you involve in the product doesn't mean anything.

Encrypting a message twice with different keys using exactly the same algorithm (thus the same branch of mathematics) is prima facie as effective a security increase as using some different algorithms involving different mathematics.

Most everyday crypto products rely on the results from several different areas of cryptography with different mathematics.