I’m compiling here the list of lectures that I have given or intend to give for my daughter Mirella. The oral lectures are given in French, but the texts written afterwards are in Vietnamese. I’ll make them into a book for school children.
(1) A Steiner problem: shortest path connecting the 4 vertices of a square. [optimization / variational methods]
(2) Polygons and their symmetry groups [group theory]
(3) Square wheels! [geometry, engineering]
(4) Princess Dido’s problem [optimization / variational methods]
(5) Walking ants problem [mathematical reasoning]
(6) Turing a square into an equilateral triangle [geometry, logic]
(7) Fibonacci numbers and exponential series [algebra, analysis]
(8) Cows eating grass problem [linear algebra]
(9) Gorilla selling bananas [optimization]
(10) Tessellations [geometry, transformation groupoids]
(11) Calculating 1^2 + 2^2 + … + n^2 [algebra, recurrence]
(12) What is integral [calculus]
(13) Which way takes less time? [classical mechanics / variational methods]
To come:
* Strategies in war games [convex optimization]
* Bernoulli’s brachistochone [optimization / variational methods]
* What is derivation [calculus]
* Orbits [mechanics / analytical geometry]
* Curves of infinite length [fractal geometry]
* Crazy loto [diverging series]
* Snowflakes [symmetry in nature/ combinatorics]
* Chocolate eating game [combinatorics / logic]
* Seven Bridges of Königsberg (lementary topology / graph theory)
* Mobius band (simple topology)
* Eratosthenes measuring the earth (geometry)
* Pinnochio’s nose (logic)
* Optimal polygons
etc.
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