| bio | website | abundantmichael.com |
|---|---|---|
| location | Cusco Peru | |
| age | 49 | |
| visits | member for | 11 months |
| seen | May 14 at 23:59 | |
| stats | profile views | 125 |
I am interested in many areas of math including topology (point-set, algebraic), functional analysis, Banach spaces and algebras, real analysis, complex analysis, measures and distributions, group theory, rings, fields, Galois theory, number theory, graph theory, numeric analysis, special relativity, matrices, non-standard analysis, foundations of mathematics, logic, categories and probably some others I am not thinking about right now!
I love to question basic assumptions and also like to create new connections between different areas. I have been playing with math since I was about 4 years old (my father was a mathematician too) and also grew up playing with computers too.
My favorite math book right now is the Princeton Companion to Mathematics which contains hundreds of interesting articles and has given me many new insights into topics I thought I already knew. :-)
I have bachelor and masters degrees in math from Cambridge University. I started a software company a few years after that, which is still one of my sources of income. I have lived in UK, Holland, USA and now Permanently Traveling in South America. As part of the PT life I sold and gave away 95% of the contents of my house and stored the rest in 2011. I also sold my car. Less is more!
I have many other interests including language learning (currently Spanish!), dance, painting, improv, 2012 changes, honest communication, energy healing, teaching Kundalini yoga, EFT, gender, futurology, history (especially of WWI and WWII), alternative history, reading science fiction and mystery books. Just like in my math investigations I follow the joy!
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Feb 27 |
comment |
Fractional Derivative Implications/Meaning? I added to my answer to say why it is non-local |
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Feb 27 |
revised |
Fractional Derivative Implications/Meaning? added non-local reason |
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Feb 26 |
answered | Necessary or sufficient conditions for rationality of a limit of a sequence of rational numbers |
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Feb 26 |
answered | Fractional Derivative Implications/Meaning? |
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Feb 13 |
comment |
To what extent is the taylor polynomial the best polynomial approximation? @5PM Thanks - that makes sense. I had misread the formula as f(k) with k = 0 to n. Works for f = p giving zero norm. |
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Feb 12 |
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To what extent is the taylor polynomial the best polynomial approximation? I may be misunderstanding something here but if I set f = p in your metric the first term is zero but the second term is not zero. But isn't the norm of 0 supposed to be zero? |
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Feb 6 |
answered | How much Math do you REALLY do in your job? |
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Dec 5 |
comment |
Difference of differentiation under integral sign between Lebesgue and Riemann In your right hand side is it supposed to be df/dx(x,t)dt evaluated at x = x0 and not df/dx(x0,t)? |
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Nov 22 |
answered | Show that $\mathbb{Q}$ is dense in the real numbers. (Using Supremum) |
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Nov 20 |
comment |
What do we lose passing from the reals to the complex numbers? Does losing ordering define the complex numbers? Ie is there only one field (strictly) containing the reals that can not be ordered but is complete? |
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Nov 15 |
answered | Complete course of self-study |
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Oct 9 |
awarded | Supporter |
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Oct 3 |
comment |
Permutating dance partners with least distance moved Thanks that is useful link and solve all the parts except minimizing how far the people have to move to swap partners and what this problem is called in graph theory |
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Oct 3 |
revised |
Permutating dance partners with least distance moved improved title and added some combinatorics tags |
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Oct 3 |
comment |
Permutating dance partners with least distance moved I looked up Maximal independent set here en.wikipedia.org/wiki/Maximal_independent_set but it doesn't seem to capture the same idea |
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Oct 3 |
comment |
Permutating dance partners with least distance moved @Ross - that does seem to solve the first part and the rotating lines part. It does not address what this is called in graph theory (Qiaochu Yuan commented: I think he means counting the number of maximal sets of disjoint edges in a complete graph on n vertices but did not give a reference at the time). And it also does not address how we minimize the amount of movement required by the people. |
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Oct 3 |
asked | Permutating dance partners with least distance moved |
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Sep 12 |
answered | Historical textbook on group theory/algebra |
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Sep 12 |
answered | What are some good math specific study habits? |
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Aug 28 |
comment |
On the Math Mindset I got "A survey of modern algebra" by Birkhoff and Mclane while I was in grade 12 and while I enjoy it now I did find it a bit abstract at the time. When I am getting into a subject I like to have more motivation and history in a math book. If you are into Algebra then "Rings, Fields and Groups" by RBJT Allenby is a much easier read that still covers most of the same ground. And the author's enthusiasm for math really shines through. Given that you are not finding your current teaching method motivating I think finding books that explain why the material is interesting are useful. |