In his book, In Pursuit of the Unknown: 17 Equations That Changed the World, Ian Stewart discusses each equation engagingly and practically…
a2+b2=c2
logxy=logx+logy
∂f∂t=limh→∞=f(t+h)−f(t)h
Fgravity=Gm1m2r2
i2=−1
V−E+F=2
Φ(x)=1√2πρe(x−μ)22ρ2
∂2u∂t2=c2∂2u∂x2
f(ω)=∫∞∞f(x)e−2πixωdx
ρ(dvdt+v⋅v∇)=−∇p+∇⋅T+f
∇⋅E=0∇⋅H=0
∇×E=−1c∂H∂t∇×H=−1c∂E∂t
dS≥0
E=mc2
ihδδtΨ=HΨ
H=−∑p(x)+logp(x)
xt+1=kxt(1−xi)
12σ2S2δ2VδS2+rSδVδS+δVδt−rV=0