
Please post any and all homework or other textbookstyle problems in one of the Homework & Coursework Questions...

Feb2313 09:25 AM
micromass

1 
31,142 
Can someone explain the concept of Quotient topology. I tried to read it from a book on topology by author "James...

Nov2810 05:59 AM
talolard

6 
8,015 
Wiki says it's
1 0
0 sin^2\theta
My book says it's
cos˛\theta 0
0 1

Jul2006 09:34 AM
quasar987

3 
7,929 
Can someone please explain to me what is the tensor product and any good elementary tensor algerbra books?

Nov1308 09:41 AM
ngc_1729

14 
7,863 
Having some knowledge of differential geometry, I want to selfstudy topology. Which of the two areas shall I study...

Apr3010 10:47 AM
lavinia

5 
7,835 
Can we curl a stress tensor? What physically meaning will it be?

May1707 08:02 PM
Chris Hillman

7 
7,755 
I'm doing some programing and I am wondering how I can find the length of a Polygon's side (variable number of sides)...

Sep1508 03:36 PM
therealdrag0

2 
7,716 
U = e^{\frac{1}{2} B} = \cos(\frac{1}{2} \theta) + b \sin(\frac{1}{2} \theta)
we can then write:
U = e^{\frac{1}{2}...

Feb607 06:39 PM
Mehdi_

43 
7,695 
Could anybody please give advice for the study of complex analysis, Riemann surfaces & complex mappings. These...

Feb408 08:56 PM
mathwonk

3 
7,686 
When we seek the extreaml value of the functional \Phi(\gamma) = \int_{t_0}^{t_1} L(x(t),\dot{x}(t),t)dt where x can...

Dec3106 04:03 AM
r4nd0m

3 
7,684 
when a space (or spacetime) is said to be maximally symmetric, does this mean that it is homogeneous?

May3109 06:57 PM
apeiron

6 
7,575 
I was reading lethe's thread on differential forms and suddenly it dawned on me that I had no idea what differential...

Aug1004 07:07 PM
mathwonk

20 
7,552 
i am a student of physics
i do not know much about the chern number
i wonder why the chern number must be an...

Jul711 11:24 AM
element4

12 
7,511 
Hi, I don't know if this is the right place to post, but can someone help me understand what differential forms are...

May1509 01:33 PM
guhan

19 
7,503 
Being not an expert, my question might sound naive to students of mahematics. My question is how on earth a Lie group...

Jun1613 02:32 AM
D H

20 
7,436 
Can anybody give me an explanation about non coordinate bases and its importance?

Feb206 07:26 AM
George Jones

17 
7,390 
Although, the dot product works in infitine dimensions, it is not the case for the cross product. Anybody know in what...

Mar605 04:22 PM
HallsofIvy

4 
7,373 
Hi,
I have met a problem, that is how to prove transformation law for Christoffel symbol of first kind. I have read...

May2409 03:54 AM
hyjta

4 
7,359 
If a vector is simply "any quantity having magnitude and direction", then how can a vector's components NOT transform...

Apr2007 11:53 PM
mathwonk

42 
7,348 
i've been trying to find a good set of lecture notes for independent study on the subject. I wen to the one in the...

Jul2306 12:48 PM
attacc

18 
7,318 
I need to show that a countable intersection of open and dense sets (the sets are open and dense at the same time) in...

Sep2608 03:17 AM
MathematicalPhysicist

7 
7,294 
How do you prove that for a set of coordinates you are supposed to take
\mathrm{d}s^2=\mathrm{d}x_i\mathrm{d}x^i
for...

Jan3110 08:26 AM
HallsofIvy

25 
7,284 
Hi can someone help me prove this identity? I'm having trouble understand the role of the interior product or more...

Dec2306 07:14 AM
coalquay404

3 
7,283 
hi
i want to know why while dealing with any noise based application noise is assumed to be gaussian distributed?
...

Oct2308 02:58 PM
statdad

6 
7,260 
Ruslan Sharipov has a nifty online textbook on this subject. It's written in interactive doityourself style. Give it...

Mar2404 03:57 PM
pmb_phy

3 
7,196 
Just wondering if Traces can be applied to tensors.
If the Ricci tensor is Rii then is sums over diagonal elements....

Jan1110 12:02 PM
Omega137

7 
7,129 
there is a general result that
RPn is orientable if n is odd while nonorientable if n is even
how to prove this...

Sep2010 02:24 PM
mathwonk

25 
7,128 
Hi
I'm looking for a simple definition fo the affine connection because I can't understand it's meanning , that...

Apr908 01:55 PM
LorenzoMath

12 
7,055 
Hi everybody,
How can one show that the tangent bundle TS˛ of the 2sphere is not trivial ? I know we can use the...

Mar309 08:32 AM
wofsy

8 
7,039 
What is a very good differential geometry introductory text?
My only background is Calculus (spivak). however, I'm...

Jul2509 08:23 AM
slider142

8 
6,973 
Usually the hairy ball theorem is cited for proving that S^2 is not parallelizable. However, hairy ball theorem is too...

May2808 12:42 PM
mathwonk

27 
6,958 
Hi , everyone
I have a problem with geodesic equation .
I know the method of solving it , but I can't understand the...

Apr1508 05:21 PM
the shadow

14 
6,940 
Can somone remind me how to see that the Lie derivative of a vector field, defined as
(L_XY)_p=\lim_{t\rightarrow...

Oct1809 01:38 PM
haushofer

20 
6,938 
I started to reread Spivak's A Comprehensive Introduction to Differential Geometry last night, for the sake of...

Sep2913 09:01 AM
UltrafastPED

5 
6,917 
I hope I am posting in the right section.
Up to today I was assuming that earth is a sphere, and I was using the...

Nov2310 02:45 AM
MasterX

5 
6,899 
Hi i'm using Kreyszig's Introductory Functional Analysis with Applications and he proves that the set of continuous...

Jun2710 02:44 PM
Landau

7 
6,852 
If I have z=f(x,y), then how would I go about finding the inverse function?
More specifically, say I have a...

May1106 04:57 PM
mathwonk

1 
6,850 
Dear All,
I have inherited a few rotation matrices through some old computer code I am updating. The code is used...

Dec310 03:14 PM
neorich

2 
6,848 
Definition of surface from Pressley's "Elementary differential geometry":
A subset S of \mathbb{R}^3 is a surface...

Oct2706 12:31 PM
matt grime

9 
6,807 
edit: This thread might need moved, sorry about that.
Hi, I have ended up on this site a few times after searching...

Dec1509 05:56 AM
HallsofIvy

5 
6,789 
I need to show a particular map f:M>N is an isometry (globally). M,N are riemannian manifolds, p is a point on M....

Mar1608 10:34 PM
Cincinnatus

4 
6,781 