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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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22 Why are induction proofs so challenging for students? Nov 19 '15
13 Learn university maths or train for high school competitions: which is better? Nov 30 '19
11 Explaining the order of negative integers May 28 '16
10 Simple “real world” l'Hôpital's rule problem? Jan 24 '15
10 Whence the “everything is linear” phenomenon, and what can we do about it? May 1 '15
10 Good, simple examples of induction? May 27 '14
9 Why are induction proofs so challenging for students? Nov 19 '15
8 Resources suitable for a beginners' course with exponentials Jul 24 '15
7 Let P be a polygon Apr 8
7 Commonly taught method divides by zero Aug 7 '15
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