Pretty good but!
The Sumerians were the first great civilization not the Babylonians.
Just a quibble.
I'm not sure that knowing about Lie's tragic love life helps understand how Lie algebras work, but this is probably the best that can be done to explain the higher maths behind modern physics.
The last third or so of the book is awkward to follow; it has the tone of 'this is how it is' rather than explaining or demonstrating. The author regularly mentions that such-and-such has proven so-and-so, and does so increasingly as the book continues, and does so for no evident purpose.
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