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Table of Contents

17 Equations

In his book, In Pursuit of the Unknown: 17 Equations That Changed the World, Ian Stewart discusses each equation engagingly and practically…

Pythagorean Theorem

a2+b2=c2


Logarithms

logxy=logx+logy


Calculus

ft=limh=f(t+h)f(t)h


Newton’s Law of Gravity

Fgravity=Gm1m2r2


Complex Numbers

i2=1


Euler’s Formula for Polyhedra

VE+F=2


Normal Distribution

Φ(x)=12πρe(xμ)22ρ2


Wave Equation

2ut2=c22ux2


Fourier Transform

f(ω)=f(x)e2πixωdx


ρ(dvdt+vv)=p+T+f


Maxwell’s Equations

E=0H=0

×E=1cHt×H=1cEt


Second Law of Thermodynamics

dS0


Relativity

E=mc2


Schrödinger’s Equation

ihδδtΨ=HΨ


Information Theory

H=p(x)+logp(x)


Chaos Theory

xt+1=kxt(1xi)


Black-Scholes Equation

12σ2S2δ2VδS2+rSδVδS+δVδtrV=0