>>> We can state this more precisely as follows: if we take any segment BC on Λ, we can find as many rational points as we please on BC.
reads as a normal English sentence.
As a student, I also preferred straight math. Proofs were what made math come alive for me. For applications of math, I had plenty of other sources such as physics, electronics, and programming, where the examples weren't forced.
I guess the difference between us then is that I didn't care about applications.
I know for a fact that pediatric oncology and hematology is entirely driven out of a research hospital or university. But doctors there publish but also treat.
Studied medicine but did not practice (Keats did for a little while). Just for interest.
It is quite dense but at least personally I find that style of textbook much more useful than the American style enormous textbooks which takes a chapter to explain what could be said in a paragraph. You just need to know to expect it will take you quite a while to read each page.