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Foundations

Natural deduction

Rigour with intuition

Beautiful stuff

Puzzles:

Finite differences:

Asymptotic expansions:

Smoothing:

Multi-dimensional analysis:

  • Multi-dimensional IVT, which proves:
    • Poincaré–Miranda theorem
    • Ham sandwich theorem [consider all hyperplanes that bisect one piece]

Inversion:

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Top posts (30) All Questions Answers | Votes Newest

20 Why are induction proofs so challenging for students? Nov 19 '15
10 Simple “real world” l'Hôpital's rule problem? Jan 24 '15
10 Why are induction proofs so challenging for students? Nov 19 '15
9 Explaining the order of negative integers May 28 '16
9 Good, simple examples of induction? May 27 '14
8 Resources suitable for a beginners' course with exponentials Jul 24 '15
8 Whence the “everything is linear” phenomenon, and what can we do about it? May 1 '15
8 Commonly taught method divides by zero Aug 7 '15
5 How can we explain and justify different results of universal quantification? Oct 26 '17
5 Can students tell the difference between the “definition if” and the “theorem if”? Nov 25 '15
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