Pt. 1. Equations of antiquity
1. Why we believe in arithmatic: the world's simplest equation
2. Resisting a new concept: the discovery of zero
3. The square of the hypotenuse: the Pythagorean theorem
4. The circle game: the discovery of [pi]
From Zeno's paradoxes to the idea of infinity
6. A matter of leverage: laws of levers
Pt. 2. Equations in the age of exploration
7. the stammerer's secret: Cardano's formula
8. Order in the heavens: Kepler's laws of planetary motion
9. Writing for eternity: Fermat's last theorem
10. An unexplored continent: the fundamental theorem of calculus
11. Of apples, legends ... and comets: Newton's laws
12. The great explorer: Euler's therems
Pt. 3 Equations in a promethean age
13. The new algebra: Hamilton and quaternions
14. Two shooting stars: group theory
15. The geometry of whales and ants: non-Euclidean geometry
16. In primes we trust: the prime number theorem
17. The idea of spectra: Fourier series
18. A god's-eye view of light: Maxwell's equations
Pt. 4. Equations in our own time
19. The photoelectric effect: quanta and relativity
20. From a bad cigar to Westminster Abbey: Dirac's formula
21. The empire-builder: the Chern-Gauss-Bonnet equation
22. A little bit infinite: the Continuum Hypothesis
23. Theories of chaos: Lorenz equations
24. Taming the tiger: the Black-Scholes equation.
