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Jan
21
awarded  Quorum
Dec
10
awarded  Yearling
Dec
9
answered What are the applications of functional analysis?
Sep
4
comment Why do both sine and cosine exist?
Nice diagram! I can imagine the midshipmen on 18th century sailing ship learning all these trig functions to do their spherical geometry calculations to figure out where the ship was today. :-)
Sep
2
answered Why do both sine and cosine exist?
May
13
answered Find the function of separation between two functions
Jan
1
comment What parts of a pure mathematics undergraduate curriculum have been discovered since 1964?
This is a great question. It would be interesting to see a graph with the age of discovery distribution of the math at different levels - grade school, high school, undergrad. My intuition is that it would mostly skew to older discoveries (Though I did study groups theory in O Level math in UK which is more recent). With undergrad being more recent (1850-1950 mostly). Has anyone seen such a graph?
Nov
30
awarded  Popular Question
May
31
awarded  Yearling
Apr
15
revised A good way to retain mathematical understanding?
added 697 characters in body
Apr
15
answered A good way to retain mathematical understanding?
Apr
15
answered What happens if your manuscript is accepted as a filler?
Apr
15
comment Are there surfaces with more than two sides?
What is the proof that there is not a global 3rd side? I could use the categorization of compact surfaces to show all of them have 1 or 2 sides. But that does not include non-compact surfaces and it seems to me that a hidden assumption in the categorization proof is that the surfaces have 1 or 2 sides...
Apr
9
asked Examples of the Mathematical Red Herring principle
Apr
9
comment Are mathematical articles on Wikipedia reliable?
@KRyan: wikis and internet education resources in general are in competition with paid universities professors. As they become good enough there will be less demand for high priced schools and downward pressure on professor jobs. Don't expect someone to talk up their competition... see the book "The Nearly Free University and the Emerging Economy" for more on this topic oftwominds.com/CHS-books.html
Apr
9
comment Are mathematical articles on Wikipedia reliable?
The way a wiki gives links to terms used in the article so you can look those wiki articles up too makes learning about a new math subject much easier than a book. I still use books and the wiki is fast way to get started. Often when starting a new subject I don't know not just the main topic but the definitions and related terms and topics...
Apr
9
comment Are mathematical articles on Wikipedia reliable?
In my experience wikipedia math articles on all degree level topic are good. I have read hundreds of them and not seen an issue. I did a math degree and masters in math at Cambridge and still actively study math.
Mar
6
comment Proof that a certain subset of the reals is not a ring
Yes you are right. Thanks for clarifying. Now I get that 2 sin(1) is just 1 sin(1) + 1 sin(1) and Steven showed the set is not closed under addition.
Mar
6
comment Proof that a certain subset of the reals is not a ring
Aha I had missed that point. Thanks for explaining! So given we are using the 1 from R here in regular way it seems like we must be assuming the ring has identity.
Mar
5
comment Proof that a certain subset of the reals is not a ring
Now I am curious if you assume that there is not a 1 in the ring if you can still prove the statement :-)