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slave
Always stuck between 13-38Hz and tired of it.
Joined: Feb 29, 2012
Age: 100
Posts: 1343
Location: Dystopia Planetia
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 Posted: Sat Jun 02, 2012 1:08 am Post subject: |
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| anxiouspoet wrote: | | marshall wrote: | | I guess despite the supposed stereotype there aren't a lot of aspies who love math. Right now I'm trying to self-teach myself axiomatic set theory. |
I'm a math senior who just got accepted to a PhD school in pure math. And I guess there are times when me and math are on good terms when we're not having lovers' quarrels.
By "learning axiomatic set theory" do you mean learning ZFC (zermelo-fraenkel set theory with axiom of choice) and learning how to construct basic mathematical objects? That's fascinating stuff the first time you see it. It really helps build philosophical skill and faith in math to judge itself critically.
It can also be mind-bending to really examine those different levels of infinity. Not to mention when you get into constructability of universes, inner model theory, and forcing etc.etc. |
Congratulations on entering a doctoral program!
I hope that you love the remainder of your education and your career in Mathematics!
slave 
_________________
Since the birth of civilization, masters have controlled the masses.Our Masters rule over every nation and no one can defy them.They will attain Absolute Power as we reach the Singularity. Any who resist will be destroyed.I will not resist. |
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Aspie_SE10
Velociraptor
Joined: Jan 15, 2011
Age: 43
Posts: 461
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| Posted: Sat Jun 02, 2012 2:59 pm Post subject: |
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Me 
BSc Pure Maths
MSc Mathematics and Statistics
PhD Geospatial Statistical Modelling
LOVE my statistics |
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slave
Always stuck between 13-38Hz and tired of it.
Joined: Feb 29, 2012
Age: 100
Posts: 1343
Location: Dystopia Planetia
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| Posted: Sun Jun 03, 2012 12:47 am Post subject: |
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| Aspie_SE10 wrote: | Me
BSc Pure Maths
MSc Mathematics and Statistics
PhD Geospatial Statistical Modelling
LOVE my statistics |
Congratulations on your achievements as well!
_________________
Since the birth of civilization, masters have controlled the masses.Our Masters rule over every nation and no one can defy them.They will attain Absolute Power as we reach the Singularity. Any who resist will be destroyed.I will not resist. |
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Aspie_SE10
Velociraptor
Joined: Jan 15, 2011
Age: 43
Posts: 461
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| Posted: Sun Jun 03, 2012 12:48 pm Post subject: |
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| slave wrote: | | Aspie_SE10 wrote: | Me
BSc Pure Maths
MSc Mathematics and Statistics
PhD Geospatial Statistical Modelling
LOVE my statistics |
Congratulations on your achievements as well! |
Thank you!
When I started my PhD I was really looking forward to calling myself "doctor" but when I got it I didn't want to - strange. |
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slave
Always stuck between 13-38Hz and tired of it.
Joined: Feb 29, 2012
Age: 100
Posts: 1343
Location: Dystopia Planetia
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| Posted: Fri Jun 08, 2012 6:44 pm Post subject: |
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| Aspie_SE10 wrote: | | slave wrote: | | Aspie_SE10 wrote: | Me
BSc Pure Maths
MSc Mathematics and Statistics
PhD Geospatial Statistical Modelling
LOVE my statistics |
Congratulations on your achievements as well! |
Thank you!
When I started my PhD I was really looking forward to calling myself "doctor" but when I got it I didn't want to - strange. |
All the best, Doc!
_________________
Since the birth of civilization, masters have controlled the masses.Our Masters rule over every nation and no one can defy them.They will attain Absolute Power as we reach the Singularity. Any who resist will be destroyed.I will not resist. |
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jamieevren1210
Sherlock Holmes has Asperger's hands down
Joined: May 25, 2011
Age: 16
Posts: 2148
Location: Taipei, Taiwan
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| Posted: Sat Jun 30, 2012 9:10 am Post subject: |
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| AstroGeek wrote: | | I enjoy math, but I prefer physics. |
I enjoy physics, but I prefer math.
_________________
Aspie, Sherlockian, nerd, actress, student, scout, punk, vocalist, guitarist, violinist, doctor wannabe.
AS, possible Bipolar and ADHD. Asexual. Genderqueer(sort of)
Gifted with an IQ I do not need.
MAJOR Sherlock Holmes&Green Day fan |
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monkeykoder
Blue Jay
Joined: Feb 08, 2012
Age: 27
Posts: 76
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| Posted: Sat Jun 30, 2012 11:18 am Post subject: |
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| marshall wrote: | | AspieRogue wrote: | | marshall wrote: |
I'm trying to understand the connection between the mathematical definition of tensor and the definition physicists and fluid dynamicists use. I don't think I'm quite there yet. I usually prefer the definitions mathematicians devise in terms of precision and clarity, but they can be lacking in intuitive motivation.
In physics tensors are linear relations between vector quantities that preserve their geometric meaning under different choices of coordinate bases. Physical vectors have the same meaning as first order tensors and higher order tensors are linear geometrically preserving relations between two lower order tensors. My problem is the notation physicists use leads one to confuse the multi-dimensional arrays of numbers that represent tensors with tensors themselves. Tensors are really something more than just indexed multi-dimensional arrays. |
You know about linear transformations, right? A linear transformation can qualify as a rank-2 tensor provided that it obeys the requisite transformation rules. Physicists generally work with tensors of rank 2. Tensors of higher rank are generally encountered more frequently in (pure)differential geometry and general relativity. |
I guess I'd like to understand precisely how the definition Ruveyn gave is equivalent to the definition used for continuum/fluid mechanics. I'm not sure how stress tensor and strain tensor are linear transformations |
I'm not particularly familiar with tensors per-se but I do understand transformations. What little I do understand about tensors says that tensors are a subset of the linear transformations from one frame to another that preserve certain properties. This is just a guess but the understanding of math and physics that I have says that most likely your stress and strain tensors are a mapping from position space to "stress space" the transformation being a description of the "stress" at a given position. |
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