# Important Mathematical equations Mathematical equations given breakthrough in science innovation and changed the world:

1. Pythagoras's Theorem a2 b2 = c2 Pythagoras,530 BC

2. Logarithms log xy = log x logy John Napier, 1610

3. Calculus df = lim = f(t h) - f(t) Newton, 1668

4. Law of Gravity F = Gmj—nr 2 Newton, 1687

5. The Square Root of Minus One i2 = -1 Euler, 1750

6. Euler's Formula for Polyhedra V - E F = 2 Euler, 1751

7. Normal Distribution = 1 e,.;ps&gt;2u a2u C.F. Gauss, 1810

8. Wave Equation 2 ot2 axe J. d'Almbert, 1746

9. Fourier Transform f(w) = f°.° f(x)e-21rizwdx J. Fourier, 1822

10. Navier-Stokes Equation 4 v•Vv)=-Vp V•T f C. Navier, G. Stokes, 1845

11. Maxwell's Equations V • E = 0 V • H = 0 V x E = —1,211 v x H = 114 J.C. Maxwell, 1865

12. Second Law of Thermodynamics dS &gt; 0 L. Boltzmann, 1874

13. Relativity E = mc2 Einstein, 1905

14. Schrodinger's Equation ih—a = Ot E. Schrodinger, 1927

15. Information Theory H = - Ep(x)logp(x) C. Shannon, 1949

16. Chaos Theory = kxt(1- xt) Robert May, 1975

17. Black-Scholes Equation r2,52 0.52 OV at rS - rV = 0 F. Black, M. Scholes, 1990

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