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splitting field

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A few months ago I had been to my alma mater, a college in Mumbai, mainly to to meet one of the faculty members who is well-versed in Latex. He introduced me to a colleague. I was surprised to find that, although she teaches linear algebra or calculus she is totally ignorant of number theory; she had not heard of Fermat's theorem or Euler's totient. Q: Does such a situation prevail in USA?

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