498 reputation
29
bio website abundantmichael.com
location Cusco Peru
age 50
visits member for 2 years, 6 months
seen Nov 28 at 12:51

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!


Nov
20
answered Two people are looking for each other. Is it faster for both to actively search, or for one to search while the other stays still?
Nov
16
revised Intuition for a real line vs. a “hyperreal line”
added 78 characters in body
Nov
16
answered Intuition for a real line vs. a “hyperreal line”
Jul
23
answered Do groups, rings and fields have practical applications in CS? If so, what are some?
May
31
awarded  Yearling
May
23
comment Fractional Derivative Implications/Meaning?
You are right it can have a geometric interpretation just as the single integral can be interpreted as the area under the curve. And it is not a local geometric property as the tangent is. I am having trouble reading the small print in your question and if you are asking can you have arbitrary real numbers in the power of the derivative operator then I believe the answer is yes. Actually I have read you can even put complex numbers in there!
Feb
27
comment Fractional Derivative Implications/Meaning?
I added to my answer to say why it is non-local
Feb
27
revised Fractional Derivative Implications/Meaning?
added non-local reason
Feb
26
answered Necessary or sufficient conditions for rationality of a limit of a sequence of rational numbers
Feb
26
answered Fractional Derivative Implications/Meaning?
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.
Feb
12
comment 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?
Feb
6
answered How much Math do you REALLY do in your job?
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)?
Nov
22
answered Show that $\mathbb{Q}$ is dense in the real numbers. (Using Supremum)
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?
Nov
15
answered Complete course of self-study
Oct
9
awarded  Supporter
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
Oct
3
revised Permutating dance partners with least distance moved
improved title and added some combinatorics tags