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MY ARTICLES "MATHEMATICAL CURIOSITIES" IN SIAM NEWS
Heron's formula - a simple derivation
Geometric sum, geometrically
Cauchy-Schwarz, via springs
Knife in the water
Lagrange multipliers and depth
Symmetry and polar decomposition of matrices
A physical interpretation of the Wronskian
Feynman's flying saucer, II
Feynman's flying saucer, I
Cauchy-Schwarz inequality and a paradox/puzzle
Mirages on the road and the Poincare metric
Which energy is greater?
Getting focused
Opening a wine bottle with a book
A perspective on altitudes
Orthocenter, Archimedean style
From Archimedes and Euclid to Hamilton and Poincare
Bedford's law and accelerated growth
A bike and a catenary
A boat paradox
The quicker solution to the brachistochrone problem
Measuring curvature with a bike
A cycloid is a tautochrone
Downwind, faster than the wind
An electrician's proof of Euler's polyhedral formula
Foucault's pendulum with a twist
Further upon reflections: caustics in a ball
A bike wheel and the Gauss-Bonnet theorem
Gromov's non-squeezing theorem and optics
Heat exchange and some frivolous aspects of e.
A near-perfect heat exchange
An inverted pendulum: defying gravity and intuition
Kelvin's circulation theorem and an isoperimetric inequality
Particles of negative mass and the Krein-Moser theory
A Lagrange multiplier problem without multipliers
Bulletproof vests and Lie brackets
A minimalist minimizes and integral
Moebius map in hinges, bikes and more
The moon sine
Moser's theorem on Jacobians by diffusion
Focusing on nephroids
Parabola of safety and the Jacobian
Measuring areas with a shopping cart
Pythagorean theorem on ice
Reflecting on reflections
Riemann Mapping by steepest descent
Slings, bullets and blow-up
Some light geometry
Newtonian dynamics = spring theory
Symmetric metrics and a little work
Telescopes and symplectic maps
Perpetual motion and the Theorem of Cosines
The thin lens formula and springs
A water-based solution of polynomial equations
EXPLORING THE UNKNOWN
LEARNING BY DOING
A THEORY COMPARISON
EXPLORING THE UNKNOWN
LEARNING BY DOING
A THEORY COMPARISON
EXPLORING THE UNKNOWN