The mathematical mechanic: using physical reasoning to solve problems

Math vs. Physics

What this book is about

The Pythagorean theorem

Minima and maxima

Inequalities by electric shorting

Center of mass : proofs and solutions

Geometry and motion

Computing integrals using mechanics

The Euler-Lagrange equation via stretched springs - -Lenses, telescopes, and Hamiltonian mechanics

A bicycle wheel and the Gauss-Bonnet theorem

Complete variables made simple(r)

Physical background.