The university track will already put him on rails for a while. I believe your instinct on the encyclopedia should be followed because he should gain breadth early on to be sure that he has enough insight not to prematurely specialize.
It depends on your budget, but I would recommend the 10-volume set of “Encyclopaedia of Mathematics” (spelled just like that), which is a translation of the Soviet mathematics version. I have found that this is the resource I turn to when I want to quickly explore some new area of mathematics.
It depends on your budget, but I would recommend the 10-volume set of “Encyclopaedia of Mathematics” (spelled just like that), which is a translation of the Soviet mathematics version. I have found that this is the resource I turn to when I want to quickly explore some new area of mathematics.
Because there are many books with this title, I will link to Amazon: https://www.amazon.com/Encyclopaedia-Mathematics-Michiel-Haz...