Emmy Noether was an extraordinary person. Not just because she was a woman in academia despite every possible roadblock being put in her way. Not just because she was an amazing mathematician who revolutionized algebra. Not just because she was a Jewish woman forced into exile by the Nazis, dying far too young in a land far from her own. But, at least in my opinion after reading Einstein's Tutor, perhaps the most extraordinary thing about her was that she was all these things while also being generous, funny, good-humored, egoless, and even occasionally foul-mouthed. It's easy to see why she attracted a school of students everywhere she went, even when she wasn't allowed to be an official teacher or even be paid by the university. Mathematics and the teaching of it seem to have been the greatest, almost the only, joys of her life, so much so that, while a statement like that would usually be said with a note of pity or sadness, in this case it can only be said in awe and admiration.
If there is one caveat to my five-star review it is this: Einstein's Tutor is not a "biography" of Noether as such. It is biograph
ical
, but much more concerned with highlighting her work and demonstrating how central and important it was to the development of modern physics. And, Phillips fairly convincingly shows, her most famous work -- known as Noether's theorems -- is at the forefront and foundation of both relativity and the edifice of particle physics known as the Standard Model, and thus of physics as we know it. (I won't even attempt a potted explanation, but it's fundamentally about how symmetries underlie the laws of physics.)
Due to sexism, her disinterest in things like taking credit, the fact that as a pure mathematician she honestly did not care about the physics work once she had finished with it, Noether has only recently begun to get the recognition she deserves. Lee Phillips seeks to move that program forward with Einstein's Tutor, and succeeds admirably. It's heady stuff, but he makes it understandable without recourse to much technical detail (more of which he provides in the appendices). Along the way, he paints a vivid portrait of late 19th- and early 20th- century German academia, a cauldron of both genius and bigotry, and a constellation of geniuses who influenced, collaborated with, and championed Emmy Noether, such as Hilbert, Klein, and the titular Einstein (she helped him with the math for general relativity, thus the "tutor" part).
I admit, I knew something about Emmy Noether and her work before, as a consumer of popular science. But Einstein's Tutor has only deepened my admiration and appreciation of her greatness, as a mathematician, but, even more so, as a human being. I hope others will do the same.