Euler–Lagrange equations and Noether's theorem . "The cool thing is that this way of thinking about physics has survived some major revolutions in physics, like quantum mechanics, relativity, etc.

Mathematical equations, from the formulas of special and general relativity, to the Pythagorean theorem, are both powerful and pleasing in their beauty to many scientists.

Sophie Germain after learning about the death of Archimedes, began a lifelong study of mathematics and geometry . Unable to study at the École Polytechnique because she was female, Germain secretly obtained support from Joseph Lagrange and began corresponding with other prominent mathematicians at the time. She became the first woman to win a prize from the French Academy of Sciences and her proof of Fermat’s Last Theorem, though unsuccessful, foundation work well into the twentieth century.

Mathematical equations, from the formulas of special and general relativity, to the Pythagorean theorem, are both powerful and pleasing in their beauty to many scientists.

Mathematical equations, from the formulas of special and general relativity, to the Pythagorean theorem, are both powerful and pleasing in their beauty to many scientists.