==== 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 ===

$$a^2 + b^2 = c^2$$

----
=== Logarithms ===

$$log{xy} = log{x} + log{y}$$

----
=== Calculus ===

$$\frac{\partial f}{\partial t} = \lim_{x\to\infty} =  \frac{f{(t+h)}- f{(t)}}{h}$$


----
=== Newton’s Law of Gravity ===

$${F}_\text{gravity}=G\frac{m_{1}m_{2}}{r^{2}}$$

----
=== Complex Numbers ===

$$i^2=-1$$

----
=== Euler’s Formula for Polyhedra ===

----
=== Normal Distribution ===

----
=== Wave Equation ===

----
=== Fourier Transform ===

----
=== Navier-Stokes Equation ===

----
=== Maxwell’s Equations ===

$$\begin{aligned}  
&\nabla\cdot\mathcal{E} = 0 
&\nabla\cdot\mathcal{H} = 0
\end{aligned}$$

$$\begin{aligned} 
&\nabla\times\mathcal{E} = - \frac{1}{c}\frac{\partial\mathcal{H}}{\partial t}
&\nabla\times\mathcal{H} = - \frac{1}{c}\frac{\partial\mathcal{E}}{\partial t}
\end{aligned}$$

----
=== Second Law of Thermodynamics ===

$$dS\geq0$$

----
=== Relativity ===

$$E=mc^2$$

----
=== Schrodinger’s Equation ===


----
=== Information Theory ===

$$H=-\sum p(x) + log{p(x)}$$

----
=== Chaos Theory ===

$$x_{t+1} = kx_t(1-x_i)$$

----
=== Black-Scholes Equation ===