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Do you mean that the Birkhoff and MacLane book was used for second year math students? Were students taught about categories in their second year? ( sorry for getting off topic, just curious )
mathwonk said:In the old days, the progression was roughly: rigorous one variable (Spivak) calculus, Abstract algebra (Birkhoff and Maclane), rigorous advanced calculus (Loomis and Sternberg), introductory real and complex analysis via metric spaces as in Mackey's complex analysis book, general analysis as in Royden, (big) Rudin, or Halmos and Ahlfors, algebra as in Lang, and algebraic topology as in Spanier. Then you specialize.
In particular Spivak was written for a first semester freshman book.
Do you mean that the Birkhoff and MacLane book was used for second year math students? Were students taught about categories in their second year? ( sorry for getting off topic, just curious )
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