Emmy Noether's story is an interesting perspective on the sociology of the scientific establishment a hundred years ago. But (in case the reader doesn't appreci

Emmy Noether's story is an interesting perspective on the sociology of the scientific establishment a hundred years ago. But (in case the reader doesn't appreciate the importance of the ideas) it's also worth focusing on what is a fantastic and profound result regarding symmetries and how they make problem-solving easy (in a very concrete operational sense). The ideas are so deep that they're not only applicable when there are exact symmetries, but degrade gracefully to also give approximate answers when symmetries are approximate.