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Questions designed to generate a "big list" of certain results, examples, conjectures, etc. via many individual answers, each contributing one or a few instances. Such a question should typically be in Community Wiki mode (CW); after asking, please, flag for moderators attention requesting the question to be made CW.

16 votes

Which great mathematicians were also historians of mathematics?

Armand Borel wrote several essays on the history of Lie groups and algebraic groups that were collected and published as a book.
Dan Fox's user avatar
  • 2,139
8 votes

Mathematicians with both “very abstract” and “very applied” achievements

Raoul Bott. The Bott-Duffin theorem, which is essentially the result of Bott's doctoral thesis (in electrical engineering; the director was Richard Duffin), gives a constructive proof that a positive- …
Dan Fox's user avatar
  • 2,139
14 votes

Nonequivalent definitions in Mathematics

What some call the adjugate matrix is often called the adjoint (or sometimes classical adjoint) matrix, while adjoint matrix commonly also means the transpose or Hermitian transpose. I doubt this doub …
Dan Fox's user avatar
  • 2,139
5 votes

Math books for advanced high school students

M. Kac. Statistical independence in probability, analysis, and number theory. It is short (< 100 pages), requires little beyond a good background in one variable calculus, and introduces some real ide …
Dan Fox's user avatar
  • 2,139
3 votes

Research-level mathematical bookstores

There's a bookstore called ADI on Calle Martin de los Heros in Madrid, near the Arguelles Metro station. They have a decent collection of research level books organized by topic.
Marcus Johnson's user avatar