I can’t find the particular proofs of Noether theorems that your link refers to. Can you help me find them? I see no instances of the word “muggle” in Spivak’s paper—in fact no index at all. Is there a different version of it? Please help, as I would greatly appreciate reading this!
Edit: I see now that the comment was referring to a book by Spivak, and that the linked PDF is only on ‘elementary mechanics.’
Edit 1: Kudos to “gjm” (see above) for pointing to Spivak’s page on Amazon!
Edit 2: Spivak’s Hogwarts proof implicitly uses a fundamental theorem in differential geometry that is called Cartan’s Magic Formula … this oblique magical reference is Spivak’s joke … as with many magical formulas, the origins of Cartan’s formula are obscure.
Regrettably, tgb, even the redoubtable Google Books does not provide page-images for Spivak’s Physics for Mathematicians: Mechanics I. The best advice I can give is to seek this book within a university library system.
I can’t find the particular proofs of Noether theorems that your link refers to. Can you help me find them? I see no instances of the word “muggle” in Spivak’s paper—in fact no index at all. Is there a different version of it? Please help, as I would greatly appreciate reading this!
Edit: I see now that the comment was referring to a book by Spivak, and that the linked PDF is only on ‘elementary mechanics.’
Edit 1: Kudos to “gjm” (see above) for pointing to Spivak’s page on Amazon!
Edit 2: Spivak’s Hogwarts proof implicitly uses a fundamental theorem in differential geometry that is called Cartan’s Magic Formula … this oblique magical reference is Spivak’s joke … as with many magical formulas, the origins of Cartan’s formula are obscure.
Amazon UK’s “look inside” feature has it. I haven’t checked Amazon US. Search for “Muggles”; first result (page 576) is the one.