Showing posts with label noether's theorem. Show all posts
Showing posts with label noether's theorem. Show all posts

Tuesday, September 25, 2012

Badass Mathematicians - 2: Emmy Noether

(Part 2 of an occasional series where I profile some influential mathematicians. Part 1, covering the volatile Frenchman Evariste Galois, is here )

Emmy Noether was that special type of badass whose contributions to pure mathematics ended up becoming the impetus for much of modern physics. Before we get to that bit of badassery, some details about her life. She was born in Germany in 1882. Father Max was a mathematician also. Wikipedia tells me he names a couple theorems in his own right. Couple of her brothers got doctorates and such. In short, she was part of an academically inclined family.
What a badass bowtie

After going through routine schooling, where she was a pretty good student, she reach a dead end. Society expected her to become a teacher for girls' school. Noether had other ideas. The powers that be at her university saw great ills in allowing mixed education. They let her enroll grudgingly. Within a few years, she hammered out a fine PhD thesis titled "On Complete Systems of Invariants for Ternary Biquadratic Forms". Later she called it crap. Sounds perfectly fine to me, but hey what do I know.

Contemporary mathematical beast David Hilbert invited her to join him at Gottigen university. There, despite toiling hard as a superb professor without pay for the first two years, she produced some solid papers on topics well above my pay grade.

It was there she formulated the theorem that would propel her into the pantheon of badasses. Here's the statement:


"To every differentiable symmetry generated by local actions, there corresponds a conserved current."


Huh? What? Here is what it means in plain (relatively speaking) English: if a physical law does not change under conditions of space and time, it must have a quantity that is conserved.