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A review by michaelwong
Love and Math: The Heart of Hidden Reality by Edward Frenkel
4.0
Idea of math Platonism is mind bending. Infinite donuts is transcendent.
I wish there were way more pictures though.
Also, I was a little disappointed that the he drew analogy between the study of mathematics and the experience of love and then backed away from asserting that there is a “formula that describes or explains love”. Up until then his book was a compelling argument that there likely is a mathematical expression for love, though perhaps only contemplated at a god level. Or several nebula sized computers.
I guess that fits with his puzzling practice of simultaneously speaking of perception, love, beauty and objective “Truth”. Again, these broke from my Subjective apprehension of the beautiful concepts he described.
“The fact that b1, the first Betti number, is equal to 1 reflects the presence of a non-trivial one-dimensional piece.” p. 25
“It turns out that this is in fact the Lie algebra of the Lie group SO(3). So the esoteric-looking operation of cross-product is inherited from the rule of composition of rotations of the sphere.” p. 121
“a rule that assigns a point in the target manifold to each point in the Riemann surface.” p. 208
“The base of the fibration is a vector space, and the fibers are tori. That is, the whole space is a collection of tori, one for each point of the base.” p. 219
I wish there were way more pictures though.
Also, I was a little disappointed that the he drew analogy between the study of mathematics and the experience of love and then backed away from asserting that there is a “formula that describes or explains love”. Up until then his book was a compelling argument that there likely is a mathematical expression for love, though perhaps only contemplated at a god level. Or several nebula sized computers.
I guess that fits with his puzzling practice of simultaneously speaking of perception, love, beauty and objective “Truth”. Again, these broke from my Subjective apprehension of the beautiful concepts he described.
“The fact that b1, the first Betti number, is equal to 1 reflects the presence of a non-trivial one-dimensional piece.” p. 25
“It turns out that this is in fact the Lie algebra of the Lie group SO(3). So the esoteric-looking operation of cross-product is inherited from the rule of composition of rotations of the sphere.” p. 121
“a rule that assigns a point in the target manifold to each point in the Riemann surface.” p. 208
“The base of the fibration is a vector space, and the fibers are tori. That is, the whole space is a collection of tori, one for each point of the base.” p. 219