The beauty of Math

1. Pythagoras’s Theorem (Pythagoras, 530 BC)

a^2 + b^2 = c^2

2. Logarithms (John Napier, 1610)

log xy = log x + log y

3. Calculus (Newton, 1668)

lim \frac{df}{dt} = \underset{h \rightarrow 0}{\lim} \frac{f(t+h) - f(t)}{h}

4. Law of Gravity (Newton, 1687)

F = G \frac{m_1 m_2}{r^2}

5. The Square Root of Minus One (Euler, 1750)

i^2 = -1

6. Euler’s Formula for Polyhedra (Euler, 1751)

V-E+F=2

7. Normal Distribution (C.F. Gauss, 1810)

\phi (x) = \frac{1}{\sigma\sqrt{2 \pi }} e^{-\frac{(x-\mu)^2}{2\sigma^2}}

8. Wave Equation (J. d'Alembert, 1746)

\frac{\partial^2 u}{\partial t^2} = c^2 \frac{\partial^2 u}{\partial x^2}

9. Fourier Transform (J. Fourier, 1822)

f(\omega)=\int_{-\infty}^{\infty} f(x) e^{-2\pi i x \omega}dx

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