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Arnold is very influential especially in "Russian math" pedagogy/philosophy, which could be contrasted a bit with "French math" where Bourbaki was very influent
by timeforcomputer 3y ago
Arnold is very influential especially in "Russian math" pedagogy/philosophy, which could be contrasted a bit with "French math" where Bourbaki was very influential. I think anyone interested enough to read the Bourbaki article might be interested in reading about him since his wikipedia page has a few references pointing to interesting discussions about Bourbaki's influence. I should have mentioned a little details in the original comment, sorry!
- zyklu5 3y agoNot to mention the kind of mathematician that the Fields medal is poorer for not having as an awardee
- timeforcomputer 3y agoAlso not to mention that he has written many great textbooks on top of his research work. I would recommend anyone in an intro or second mostly-methods-based DE course to read his Ordinary Differential Equations. He doesn't entirely avoid useful methods (as I recall) but the approach was extremely different to what I had seen before, but so natural (pointing at geometry and topology, immediately discussing vector fields and a nice notation for flows in the beginning chapter).