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Dec
11
comment Motivating Cohomology
Bott and Tu's Differential Forms in Algebraic Topology provides a great introduction to de Rham cohomology, which I've always found intuitive and concrete.
Dec
10
accepted Homology and Euler characteristics of the classical Lie groups
Dec
8
comment Is there a general formula for solving 4th degree equations?
"However, if you allow special theta values (a new operation, not among the standard ones!) then yes, you can actually write down the solutions of arbitrary polynomials this way." Do you know of a reference which expands on this point?
Dec
6
accepted Examples of advanced results and ideas explained in a down-to-earth way
Dec
6
asked Homology and Euler characteristics of the classical Lie groups
Dec
4
comment Best Intermediate/Advanced Computer Science book
This question could be more appropriate here: cstheory.stackexchange.com
Dec
4
comment Examples of advanced results and ideas explained in a down-to-earth way
By accurate I mean more or less that false statements aren't made. Some popular treatments attain their accessible level by communicating half-truths. Again, Feynman's QED is a good example of what I mean: it doesn't cover the details, and it won't teach you how to do the calculations yourself, but it does communicate the ideas of the subject, it does explain some of its more striking applications, and it doesn't make false statements.
Dec
4
asked Examples of advanced results and ideas explained in a down-to-earth way
Dec
3
comment Is value of $\pi = 4$?
The downvote came from me. I added it soon after you posted your answer when there weren't any other answers to complement yours. My rationale was that, based on how I've seen other people (not here) attempt to answer this question, anything less than a completely rigorous demonstration would not suffice simply because almost any intuitive explanation seems plausible in this instance. I later tried to remove the downvote when I realized there were a variety of answers and that yours complemented the others nicely, but because an hour had elapsed I was not (and am not) able to do so.
Nov
29
revised An Introduction to Tensors
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Nov
20
answered Why do we need vectors and who invented it?
Nov
14
comment An Introduction to Tensors
I think Qiaochu Yuan's answer is probably closer to what you need for mathematical physics. I still think it's worthwhile reading over at least the first few sections of Keith Conrad's notes. They are actually the nicest source I know of describing general tensor products.
Nov
14
revised An Introduction to Tensors
added 453 characters in body; added 223 characters in body
Nov
14
revised An Introduction to Tensors
deleted 227 characters in body
Nov
14
revised An Introduction to Tensors
added 602 characters in body; deleted 78 characters in body
Nov
14
answered An Introduction to Tensors
Nov
8
comment Every group is the quotient of a free group by a normal subgroup
Thanks very much for the correction!
Nov
8
revised Every group is the quotient of a free group by a normal subgroup
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Nov
8
revised Good Physical Demonstrations of Abstract Mathematics
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Nov
8
answered Every group is the quotient of a free group by a normal subgroup