Regarding MATHEMATICS undergraduate curriculum
I have a question on which university or universities have the best ACADEMIC programme, curriculum, syllabi or whatever you'd like to call it - basically the topics, subjects, contents of material taught to undergraduates - in the usa and uk.
My estimate is it is a toss up between oxbridge, imperial, warwick, ucl etc in UK vs ivy league, mit, caltech, stanford etc in usa. however feel free to add or exclude names from UK & USA only in this list of best universities ON PURELY ACADEMIC TERMS within uk&usa exclusively (no other countries in this debate plz).
Can I also ask posters to include, if relevant, their "allegiance" - which universities they study(ied) at-, which they feel are some "nonanglo-saxon" universities with strong maths departments (incl. in france, germany, russia, italy etc) that can compete with or excel cambridge maths department?
So here it goes. Tell us in as much detail as possible
1. which is/are your pick(s) for the best maths departments in Uk/USA on PURELY ACADEMIC terms, i.e. based on content of syllabi for undergrads, for subject matters taught at undergrad level, but NOT based on resources, job prospects, extracurriculars, surroundings, nightlife and other "peripherals". Pure academic terms who rules the roost in this transatlantic duel?
2. what are some of your picks for maths departments outside uk/usa which equal, come close to or exceed the VERY BEST in uk/usa? i believe ecole superiure normale/polytechniques in france, and other institutes in germany, russia deserve mention as equals to cambridge uk if not higher than cambridge uk.....but what do you think IF YOU KNOW anything about those places?
3. RESTRICT the discussion to PURELY ACADEMIC TERMS. EXCLUDE resources, weather, job prospects, extracurriculars, nightlife and other "peripherals".