Math Is Fun Forum
You are not logged in.
- Topics: Active | Unanswered
Pages: 1
#1 2011-01-31 11:24:40
- Leibgrangian
- Guest
What's a manifold?
hi, i keep coming across this term, what does it mean??
#2 2011-02-01 01:55:21
- Bob
- Administrator
- Registered: 2010-06-20
- Posts: 10,643
Re: What's a manifold?
http://en.wikipedia.org/wiki/Manifold
Bob
Children are not defined by school ...........The Fonz
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you! …………….Bob 
Offline
#3 2011-02-01 07:40:34
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: What's a manifold?
Hi;
There is a funny story about manifolds. Artin a great mathematician and an instructor at the IAS would say in his lectures, "that thing, you know that thing," when referring to a manifold. Obviously he could not define them either in a few words.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
#4 2016-06-29 15:34:12
Re: What's a manifold?
What's IAS?
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
Offline
#5 2016-06-29 15:34:39
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: What's a manifold?
It is in NJ.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
#6 2016-06-29 15:40:12
Re: What's a manifold?
Can you find Shivam's posts that contains the string Artin"?
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
Offline
#7 2016-06-29 15:41:26
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: What's a manifold?
I will try, see my post #3.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
#8 2016-06-29 15:43:08
Re: What's a manifold?
I did
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
Offline
#9 2016-06-29 15:45:35
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: What's a manifold?
http://www.mathisfunforum.com/viewtopic … 19#p332519
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
#10 2016-06-29 15:51:14
Re: What's a manifold?
See! Artin works at MIT
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
Offline
#11 2016-06-29 15:53:35
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: What's a manifold?
Yes, he has probably been to the IAS too as well as other places. Anyway, I am talking about Emil Artin.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
#12 2016-06-29 15:55:51
Re: What's a manifold?
Emil is Michael's father
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
Offline
#13 2016-06-29 15:57:52
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: What's a manifold?
I am not following you.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
#14 2016-06-29 16:00:29
Re: What's a manifold?
Why not?
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
Offline
#15 2016-06-29 16:02:21
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: What's a manifold?
Emil is the person the story is about.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
#16 2016-06-29 16:03:37
Re: What's a manifold?
But my textbook is written by Michael
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
Offline
#17 2016-06-29 16:05:19
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: What's a manifold?
Also irrelevant, the story was about Emil who is deceased.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
#18 2016-06-29 16:14:06
Re: What's a manifold?
Okay, that's upsetting
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
Offline
#19 2016-06-29 16:16:48
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: What's a manifold?
He was born in the late 19th century.
All things must pass.
Everything that has beginning has an end.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
#20 2016-07-01 21:13:33
Re: What's a manifold?
In Spivak's Calculus on Manifolds, we define a manifold in the following way.
A subset is a k-dimensional manifold in if for every point the following condition is satisfied:There is an open set containing an open set and a diffeomorphism such that:(A diffeomorphism is just a differentiable function which has a differentiable inverse.)
Offline
Pages: 1