How mathematical equations and algorithms fundamentally reshape our modern world

Equations That Have Changed The World · 59:17 · Video: Gresham College · Watch at the source

In short: This lecture explores the profound impact of essential mathematical formulas and algorithms. From physics to digital search, discover the hidden mathematical structures that drive our daily lives and continue to shape our future.

Chris Budd examines a selection of mathematical tools that have transformed human existence. The discussion covers fundamental physics through Laplace's Equation and the Navier-Stokes Equations, alongside the transformative power of Schrödinger's equation.

The lecture also delves into the digital and computational engines of the modern era, including the Kalman Filter, the Fast Fourier Transform (FFT), and the PageRank Algorithm. By exploring methods like the Simplex method and the Conjugate Gradient Method, the session demonstrates how these mathematical frameworks make a profound difference to the way we live.

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