Golden helmet wrote:

Where do I get a course that I can understand on "metric spaces"



Metric spaces might be covered in a first course of real analysis; see,
for example, Goldberg RR, _Essentials of Real Analysis_ or Rudin W,
_Principles of Mathematical Analysis_ However, many instructors of such
a course will never mention metric spaces. (Mine didn't.) A first cours
ein topology will certainly cover metric spaces/

As far as your understanding it, you will need to know at least
calculus. For topology, a certain level of "mathematical maturity" is
required.

--
Stephen J. Herschkorn
Math Tutor on the Internet and in Central New Jersey and Manhattan

"Dave Seaman" wrote in message
...
| On Thu, 07 Sep 2006 01:02:45 GMT, Sorcerer wrote:
|
| "Dave Seaman" wrote in message
| ...
| | On Wed, 06 Sep 2006 16:55:58 GMT, Sorcerer wrote:
| |
| | "Dave Seaman" wrote in message
| | ...
| | | On Wed, 06 Sep 2006 12:36:55 GMT, Sorcerer wrote:
| | |
| | | "Dave Seaman" wrote in message
| | | ...
| | | | On Wed, 06 Sep 2006 10:48:43 GMT, Sorcerer wrote:
| | | |
| | | | "Bill Hobba" wrote in message
| | | | ...
| | | | |
| | | | | "Golden helmet" wrote in message
| | | | | ...
| | | | | Where do I get a course that I can understand on "metric
| spaces"
| | | | |
| | | | |
| | | | | Obviously that depends on how much math you know. Have you
done
| say
| | | | second
| | | | | year university calculus?
| | | |
| | | | Calculus is not a prerequisite for metric spaces. Topology
would
| be
| | more
| | | | helpful.
| | | |
| | | | Topology is not a prerequisite for metric spaces. Metric spaces
are
| a
| | | | special case of topological spaces.
| | |
| | | I said it would be helpful, I did not say it was a prerequisite.
| | | LEARN TO READ AND COMPREHEND, especially if you wish
| | | to study mathematics, which is terse and precise.
| | |
| | | What you said is completely wrong.
| |
| | Ok, don't bother to read and comprehend, ****head. It's no skin off
| | my nose, **** off.
| | Androcles
| |
| | I read and comprehend that you think it is ok to take someone else to
| | task for mentioning calculus, because (in your words), "calculus is not
a
| | prerequisite for metric spaces".
|
| That is correct.
|
|
| | No one had mentioned prerequisites up
| | to that point.
|
| Hobba mentioned calculus, the guy wasn't asking about calculus.
|
| You mentioned topology. The guy wasn't asking about topology.

Yes.


| Hobba wouldn't know what a metric was anyway, he's a ****head
| relativist who thinks lengths change when you shine lights on
| them.
|
| And you suggested topology to someone who doesn't know what a metric is?

Very much so. The study of "curved spacetime" (whatever that is), is one
of Hobba's interests (or lack thereof, he is not particularly intelligent)
and is a study of topology which makes use of metrics.

|
| we establish by definition that the ``time'' required by light to
travel
| from A to B equals the ``time'' it requires to travel from B to A." --
| Einstein.
| http://www.androcles01.pwp.blueyonder.co.uk/LT.JPG
| A metric satisfies the triangle inequality g(x,y)+g(y,z)=g(x,z) and is
| symmetric, so g(x,y)==g(y,x).
|
|
| | I merely followed your example by pointing out that your
| | suggested replacement, topology, is likewise not a prerequisite, and is
| | even less suitable as preparation for metric spaces.
|
| On that point we would have to agree to differ, just as I don't
| give a toss what your Supreme Court does.
|
| You don't give a toss about double standards, either.

And just what are the two standards, topology and calculus, topology and
flaming or flaming and calculus?

Do enlighten us, O saged mathematician, why is topology a less
suitable preparation for flaming (or metric spaces) than calculus? (If you
know.)

Androcles

"Stephen J. Herschkorn" wrote in message
...
| Golden helmet wrote:
|
| Where do I get a course that I can understand on "metric spaces"
|
|
|
| Metric spaces might be covered in a first course of real analysis; see,
| for example, Goldberg RR, _Essentials of Real Analysis_ or Rudin W,
| _Principles of Mathematical Analysis_ However, many instructors of such
| a course will never mention metric spaces. (Mine didn't.) A first cours
| ein topology will certainly cover metric spaces/
|
| As far as your understanding it, you will need to know at least
| calculus. For topology, a certain level of "mathematical maturity" is
| required.
|
| --
| Stephen J. Herschkorn
| Math Tutor on the Internet and in Central New Jersey and Manhattan

Interesting... as far as I'm aware, the calculus of Newton and Leibnitz
relies upon the Euclidean metric.
Do you have sufficient mathematical maturity to define a constant
velocity in Manhattan, where of course the Manhattan metric is used
by cab drivers for the purpose of the $ = money(distance) function?

Androcles

On Thu, 07 Sep 2006 10:53:17 GMT, Sorcerer wrote:

"Dave Seaman" wrote in message
...
| On that point we would have to agree to differ, just as I don't
| give a toss what your Supreme Court does.
|
| You don't give a toss about double standards, either.

And just what are the two standards, topology and calculus, topology and
flaming or flaming and calculus?

A double standard is that you think it's all right to dismiss calculus
because it is not a prerequisite for metric spaces, but it's not ok for
me to dismiss topology on the same grounds.

A double standard is that you think it's ok for you to introduce
"prerequisites" where they had not previously been mentioned, but it's
not ok for me to apply the same criterion to your suggestion.

Do enlighten us, O saged mathematician, why is topology a less
suitable preparation for flaming (or metric spaces) than calculus? (If you
know.)

It depends on whether the OP has the requisite level of mathematical
maturity.




--
Dave Seaman
U.S. Court of Appeals to review three issues
concerning case of Mumia Abu-Jamal.
http://www.mumia2000.org/

"Dave Seaman" snipped in message
...

You snipped. I've graciously returned the compliment.

Androcles.

"Sorcerer" wrote in message . ..

"Stephen J. Herschkorn" wrote in message
...
| Golden helmet wrote:
|
| Where do I get a course that I can understand on "metric spaces"
|
|
|
| Metric spaces might be covered in a first course of real analysis; see,
| for example, Goldberg RR, _Essentials of Real Analysis_ or Rudin W,
| _Principles of Mathematical Analysis_ However, many instructors of such
| a course will never mention metric spaces. (Mine didn't.) A first cours
| ein topology will certainly cover metric spaces/
|
| As far as your understanding it, you will need to know at least
| calculus. For topology, a certain level of "mathematical maturity" is
| required.
|
| --
| Stephen J. Herschkorn
| Math Tutor on the Internet and in Central New Jersey and Manhattan

Interesting... as far as I'm aware, the calculus of Newton and Leibnitz
relies upon the Euclidean metric.
Do you have sufficient mathematical maturity to define a constant
velocity in Manhattan, where of course the Manhattan metric is used
by cab drivers for the purpose of the $ = money(distance) function?

The Manhattan metric according to Androfart:
http://users.telenet.be/vdmoortel/di...pleEnough.html

Dirk Vdm

Hello,

I was well into this once with my PhD, but they cut up my brain and now it
has all gone. It all came back so they cut it off again.

I went from £3000 a month with stars in my eyes to a poor dull washer-up at
£11 a week. Britian is actually hell, stay away.

Hang doctors who cut off their patient's brain.

My life is my affair nothing to do with anyone else, tell the world that
doctors are breaking the laws of human rights by deciding on the life of
another person.

In my opinion doctors who cut patients brains should have their own brains
cut themselves and train as washing machines.

Doctors have wrecked my life. Doctors think they undersytand the brain but
there actions and the results therefoff mean that the don't.

Kill doctors before they cut off your brain and make you into sewing
machine.

If you see a shrink coming and they are very cunning gun them down before
they "cure" you by cutting out the brain. Kill shrinks they have ruined my
93 year old mum's life and to a lesser extent my own.

The knife they use to cut off the frontal lobe that sits in front of roland
convolution is a long thin bladed knife 25 cm long and 1 cm wide and sharp
on both sides with a point at the end, there are different versions but that
is the easier one for street lobotomists to use, The just get hold of their
victim and jam it through the skull with a power-stab and drive it in with a
powerful thrust of the arm to cut through the skull at the level of the
temple and then they twist it up and down to cut off and destroy the
intelligent part of the brain (the bit what understands "metric spsces" and
all human philosophy). The personality ceases to exist and only a trainable
machine is left.

Just a clever way of executing a dissident thats all. Gun psyciatrists down,
they are not curing sick (the patients are not sick) they are removing
dissdents.

"What does a 'working class' boy think he is doing, studying 'metric spaces'
he must be obsessed -- lets all laugh". Go hang them, I'm not working class,
I'm the honest poor. I work for my keep and earn my qualifications... I
really don't understand the attacks on my family.

Let's all be American where the honest poor rise to be the honest rich as
the meritocracy should be constructed.

When does the next airship leave for the USA?

--
Golden Helmet
"Stephen J. Herschkorn" wrote in message
...
Golden helmet wrote:

Where do I get a course that I can understand on "metric spaces"


Metric spaces might be covered in a first course of real analysis; see,
for example, Goldberg RR, _Essentials of Real Analysis_ or Rudin W,
_Principles of Mathematical Analysis_ However, many instructors of such a
course will never mention metric spaces. (Mine didn't.) A first cours ein
topology will certainly cover metric spaces/

As far as your understanding it, you will need to know at least calculus.
For topology, a certain level of "mathematical maturity" is required.

--
Stephen J. Herschkorn
Math Tutor on the Internet and in Central New Jersey and Manhattan