“Everything useful in mathematics has been devised for a purpose. Even if you don't know it, the guy who did it first, he knew what he was doing. Banach didn't just develop Banach spaces for the sake of it. He wanted to put many spaces under one heading. Without knowing the examples, the whole thing is pointless.”
Quote by Michael Atiyah
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“If one must choose between rigour and meaning, I shall unhesitatingly choose the latter.”
Source: The Disciplined Mind: What All Students Should Understand
“The arithmetical symbols are written diagrams and the geometrical figures are graphic formulas.”
“... commutative algebra is a lot like topology, only backwards.”
