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# MY ARTICLES "MATHEMATICAL CURIOSITIES" IN SIAM NEWS

Soap film and Hamiltonian systems

Wrong results by right methods and vice versa

Cosine addition formula via work

Ulam's ping-pong, Adiabatic Invariants and Entropy

Minimizing the length - and the algebra

Strolling through Jacobi fields

## Stacking rocks

## Western Sunrise

## A Coriolis pair paradox

## 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

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## EXPLORING THE UNKNOWN

## LEARNING BY DOING

## A THEORY COMPARISON

## EXPLORING THE UNKNOWN

## LEARNING BY DOING

## A THEORY COMPARISON

## EXPLORING THE UNKNOWN

SINEWS: Publications

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