mathwonk's latest activity

A question and a very nice answer about the history of Galois theory is here...

Briefly (after reading Neumann's translation of Galois): We say a group G can be reduced by a prime p, if G has a normal subgroup N of...

A classic example: e^(a+b) = e^a.e^b, and as consequences of this (since e^iz = cos(z) + isin(z)), the sin and cosine formulas. These...

Summary of statements of Galois theory (in characteristic zero): [I.e. assume all fields contain Q, the rational numbers]: Let F be a...

Here is my summary of Galois theory after reading Stewart's brief reproduction of Galois' own words. An approximation of Galois’ own...

the same question was asked 4 years ago, and answered there: my answer is post #7...

A few words about symmetry Solving a polynomial equation f with coefficients in F, means writing the roots of f in terms of the...

EDIT (added later): After consulting Stewart, Galois theory, 4th edition, I see he includes a translation of Galois' own statement of...

I liked the one by Ian Stewart. It was pretty much self-contained.

Those notes 844-1, 844-2, of mine linked in post #12, have as prerecquisite the earlier notes 843-1, 843-2, on the same webpage...

apparently (by Smale's h-cobordism theorem) the crux is the pseudo-isotopy class of the (orientation preserving) gluing map...

some arithmetic: according to AI, there are about 50 million public school students in the US, and to extend the school year by 10 weeks...

my wife came back from the fancy store- with- everything today with a bag of polenta, and a photo of the bag of "gluten free polenta"...

I am not an expert but here are some suggestions from math stack exchange...

This reminds me of how puzzled I was, when writing my first algebra book, by this question: find a vector basis of the product of a...