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What are the current advancements in Mathematics going on?
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Proginoskes
science forum Guru


Joined: 29 Apr 2005
Posts: 2593

PostPosted: Wed Jul 05, 2006 5:14 am    Post subject: Re: What are the current advancements in Mathematics going on? Reply with quote

Gerry Myerson wrote:
Quote:
In article <1152054026.564908.197930@j8g2000cwa.googlegroups.com>,
"Proginoskes" <CCHeckman@gmail.com> wrote:

Sanny wrote:
Does anyone knows latest happening in Maths.

2000 BC zero was invented in India. (Start of Maths)
In 00 Geometry was developed
In 1600 Trignometry was invented
In 1800 Calculus was invented
In 1900 Integration
In 1950 Statistical Techniques/ Linear Algebra etc.
In 1980 Graph Theory

Graph Theory was first used in 1836 (Euler's problem involving the
bridges of Konigsberg).

That would be 1736.

Hey, I got 3 out of 4 digits right. 8-)

--- Christopher Heckman
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Sanny
science forum beginner


Joined: 04 Jul 2006
Posts: 11

PostPosted: Wed Jul 05, 2006 6:07 am    Post subject: Re: What are the current advancements in Mathematics going on? Reply with quote

Quote:

Fast computation explains why Graph Theory has been growing recently.
There are lots of problems still open though; for instance, the 3-Color
Problem. (Which maps can be colored with 3 colors?)


According to graph theory any map can be colored by 4 colors.

Bye
Sanny

Play Chess at: http://www.getclub.com/Chess.html
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Han de Bruijn
science forum Guru


Joined: 18 May 2005
Posts: 1285

PostPosted: Wed Jul 05, 2006 7:31 am    Post subject: Re: What are the current advancements in Mathematics going on? Reply with quote

matt271829-news@yahoo.co.uk wrote:

Quote:
I've often wondered if there's anything *simple* left to discover in
mathematics...

Several such *simple*, but quite nice discoveries IMHO at:

http://huizen.dto.tudelft.nl/deBruijn/grondig/calculus.htm
http://huizen.dto.tudelft.nl/deBruijn/grondig/crossing.htm
http://huizen.dto.tudelft.nl/deBruijn/sunall.htm

Han de Bruijn
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Tom111
science forum Guru Wannabe


Joined: 21 Jan 2006
Posts: 173

PostPosted: Wed Jul 05, 2006 9:37 am    Post subject: Re: What are the current advancements in Mathematics going on? Reply with quote

Quote:
In article
1152035203.170463.295170@m73g2000cwd.googlegroups.com
,
Sanny <softtanks@hotmail.com> wrote:
Does anyone knows latest happening in Maths.

2000 BC zero was invented in India. (Start of Maths)
In 00 Geometry was developed
In 1600 Trignometry was invented
In 1800 Calculus was invented
In 1900 Integration
In 1950 Statistical Techniques/ Linear Algebra etc.
In 1980 Graph Theory


Now What is being developed any glimpses to future
of Maths. With the
advent of Computers and supercomputers the
Calculations are very fast
but now it seems like Mathematics is just learnt by
people nothing new
is invented in maths.

Bye
Sanny

You have NONE of the dates correct; they were all
considerably earlier. Also, the zero symbol, and the
same
symbol in each place, go back to earlier than 3000
BCE, and
anyhow have nothing to do with mathematics.


--
This address is for information only. I do not claim
that these views
are those of the Statistics Department or of Purdue
University.
Herman Rubin, Department of Statistics, Purdue
University
hrubin@stat.purdue.edu Phone: (765)494-6054
FAX: (765)494-0558


There's a lot of hostile people here...
The point of Sanny's post was to ask about any insights into what the latest advances might be in mathematics.
His dates were clearly just rough examples of previous advances to give an idea of the kind of things he's looking for.

Its a useful question, even if the dates are a bit wrong.
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Lee Rudolph
science forum Guru


Joined: 28 Apr 2005
Posts: 566

PostPosted: Wed Jul 05, 2006 10:23 am    Post subject: Re: What are the current advancements in Mathematics going on? Reply with quote

Tom <t_d_lowe@hotmail.com> writes:

Quote:
There's a lot of hostile people here...

"Here" might mean the usenet newsgroup sci.math, the Math Forum
(from which you appear to post) used as a gateway to sci.math,
"Google Groups" similarly, and perhaps other things as well.
For each of those interpretations, it is true (to various degrees)
that there are a lot of people "here" who are one or more of
(a) willfully ignorant, (b) hopelessly stupid, (c) vandalously
trollsome. There are also people here who are (d) ignorant but
(e) willing and perhaps able to learn that which will alleviate
their ignorance. There are also people here who are knowledgeable.
Many of the last group are, to various degrees, impatient with and
hostile to people who belong to groups (a), (b), or (c). Some of
the last group are--or have become, by over-exposure to groups
(a), (b), and (c)--impatient with or hostile to those of group
(d) and even (e). And of course there are plenty of people in
groups (a), (b), and (c) who are themselves *extremely* hostile.

So, yes, you're right: for most values of "here", it's true that
there are "a lot of hostile people here". Now what?

Lee Rudolph
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Proginoskes
science forum Guru


Joined: 29 Apr 2005
Posts: 2593

PostPosted: Wed Jul 05, 2006 10:58 pm    Post subject: Re: What are the current advancements in Mathematics going on? Reply with quote

Sanny wrote:
Quote:

Fast computation explains why Graph Theory has been growing recently.
There are lots of problems still open though; for instance, the 3-Color
Problem. (Which maps can be colored with 3 colors?)


According to graph theory any map can be colored by 4 colors.

That's not what I asked.

What I asked was a more specific question: Which (planar) maps only
need 3 colors?

The answers to other related questions are known:

Which maps can be colored with 4 colors? Ans: All of them.
Which maps can be colored with 2 colors? Ans: Any that doesn't have an
"odd ring" of regions.
Which maps can be colored with 1 color? Ans: Any map where no two
regions are adjacent.

--- Christopher Heckman
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Sanny
science forum beginner


Joined: 04 Jul 2006
Posts: 11

PostPosted: Thu Jul 06, 2006 6:09 am    Post subject: Re: What are the current advancements in Mathematics going on? Reply with quote

Quote:
What I asked was a more specific question: Which (planar) maps only
need 3 colors?


Which maps can be colored with 3 color? Ans: Any map where each region
has maximun 2 (connected) adjacents. (Not more than 2 connected
adjacents)

Bye
Sanny

Play Chess at: http://www.GetClub.com/Chess.html
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Sanny
science forum beginner


Joined: 04 Jul 2006
Posts: 11

PostPosted: Thu Jul 06, 2006 6:13 am    Post subject: Re: What are the current advancements in Mathematics going on? Reply with quote

It seems to be Set Theory Problem

Bye
Sanny

Play Chess at: http://www.GetClub.com/Chess.html
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Proginoskes
science forum Guru


Joined: 29 Apr 2005
Posts: 2593

PostPosted: Thu Jul 06, 2006 6:45 am    Post subject: Re: What are the current advancements in Mathematics going on? Reply with quote

Sanny wrote:
Quote:
What I asked was a more specific question: Which (planar) maps only
need 3 colors?


Which maps can be colored with 3 color? Ans: Any map where each region
has maximun 2 (connected) adjacents. (Not more than 2 connected
adjacents)

There are more than that. Consider (in the USA) Nebraska and the six
surrounding states.

--- Christopher Heckman
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