mathwonk's latest activity
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Mmathwonk reacted to WWGD's post in the thread Other What are some good books for learning Galois Theory? with
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I liked the one by Ian Stewart. It was pretty much self-contained. -
Mmathwonk replied to the thread Other What are some good books for learning Galois Theory?.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...
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Mmathwonk replied to the thread I 2-sphere intrinsic definition by gluing disks' boundaries.apparently (by Smale's h-cobordism theorem) the crux is the pseudo-isotopy class of the (orientation preserving) gluing map...
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Mmathwonk replied to the thread A three month long summer vacation from public school seems stupid.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...
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Mmathwonk replied to the thread Random Thoughts 7.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"...
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Mmathwonk replied to the thread Number Theory Suggestions for Analytic Number Theory textbooks.I am not an expert but here are some suggestions from math stack exchange...
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Mmathwonk replied to the thread I About the existence of Hamel basis for vector spaces.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...
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Mmathwonk replied to the thread How can we teach students the difference between sequences and series?.Perhaps the answer is contained in your first point. I.e. perhaps one should teach sequences first and thoroughly, and only treat...
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Mmathwonk replied to the thread I ##(A/\mathfrak{a})_{\mathfrak{p}/\mathfrak{a}}## and its isomorphism?.fresh, I suspect you are helping train a bot.
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MI thought this was an interesting article that some of you may enjoy. It begins with: After finding the homeschooling life confining...
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Mmathwonk replied to the thread I Can one find a matrix that's 'unique' to a collection of eigenvectors?.In post #28, what matters is that the vectors xj span. And that they are eigenvectors is irrelevant. Indeed the eigenvectors of a...
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Mmathwonk replied to the thread I Can one find a matrix that's 'unique' to a collection of eigenvectors?.Sciencemaster:..."Is there anything else I'm missing here?" I would say you are missing the basic property of a linear transformation...
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Mmathwonk replied to the thread I Can one find a matrix that's 'unique' to a collection of eigenvectors?.k is the field of scalars in the matrix, e.g. k could be the reals. I think your analysis as to canceling out makes sense, but to me it...
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Mmathwonk replied to the thread I Confused by proof in Hocking and Young.I took a quick look at that book and wondered why you were interested in such a tedious approach to topology. Then I noticed some very...
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Mmathwonk replied to the thread I Can one find a matrix that's 'unique' to a collection of eigenvectors?.Thanks to pasmith and fresh_42, I think I finally understand your question. To paraphrase: A linear transformation is entirely...