Best Books On Dimensional Analysis Please....

[The Architekt]

hello, what are the best links and or books for someone whom would like to be introduced to dimensional analysis "basic level?"

 

 

 

 

What I would like to find is the position of the electron, please don't laugh, I think it is possible...

 

 

thanks for your help....

[ACG52]

hello, what are the best links and or books for someone whom would like to be introduced to dimensional analysis "basic level?"

 

 

 

 

What I would like to find is the position of the electron, please don't laugh, I think it is possible...

 

 

thanks for your help....

 

Start with finding out what dimensional analysis is.

 

http://en.wikipedia.org/wiki/Dimensional_analysis

[studiot]

Before you can do one dimensional analysis for your purpose or most others you will need some algebra and some trigonometry.

 

Where are you with this?

 

Edit. Sorry I misread the original post forget the above. I was talking about something irrelevent.

Edited July 7, 2012 by studiot

[pmb]

hello, what are the best links and or books for someone whom would like to be introduced to dimensional analysis "basic level?"

I doubt that there are any textbooks on that subject. It's too trivial tomake a text out of it. What you might want to do is to pick up a chemistry text and go over the section of dimensional analysis.

 

What I would like to find is the position of the electron, please don't laugh, I think it is possible...

There are no theoretical barriers to finding the positin of an electron so there's nothing to laugh about. Even quantum mechanics doesn't give a limit of the precision on measuringthe position of an electron.

[The Architekt]

You know I have noticed this really, it seems that "everything" I read on this subject is wayyyyy to much information and or does not really give the basics as with basic algebra and etc...From authors to authors and variables to even more variables...It looks like their is not only one way to do this, leaving this I guess up to super creativity...

 

Thanks!

I doubt that there are any textbooks on that subject. It's too trivial tomake a text out of it. What you might want to do is to pick up a chemistry text and go over the section of dimensional analysis.

 

 

There are no theoretical barriers to finding the positin of an electron so there's nothing to laugh about. Even quantum mechanics doesn't give a limit of the precision on measuringthe position of an electron.

 

 

 

 

Yes I thought trigonometry was involved with this, but what I read does not really tell you this. Been on this for about 1 year already..

 

 

Well about trig:

 

I know about sin, cosine, tangent, co tangent, and secant to co secants.

I understand the Pythagorean Theorem very well.

 

I know of f(x) functions and derivatives as x ->0.

I understand the distribution laws, commutative laws and other rules of math.

 

 

About Calculus:

 

I only understand how this applies to f(x) functions.

 

 

What I am having issues with is not being able to see the entire process or lay out with a numerical representation used in dimensional analysis. Something basic, like a constant used by x and y.

The closest I have ever got to see something with numerical values is right here:

 

Relativistic Sinusoidal Wave Function

http://www.relativit..._function.shtml

 

 

 

de Broglie's Quantum Equations

http://www.relativit...equations.shtml

 

 

Heisenberg's Uncertainty Principle

http://www.relativit...Principle.shtml

 

The Compton Effect

http://www.relativit...on_effect.shtml

 

It actually has numbers in them, and values too, it explains the variables, then gives you number examples...

 

There must be something out there "similar to these links" I can see that can break down dimensional analysis, I just need to find it.

 

 

Thanks..

 

 

 

 

 

Before you can do one dimensional analysis for your purpose or most others you will need some algebra and some trigonometry.

 

Where are you with this?

 

Edit. Sorry I misread the original post forget the above. I was talking about something irrelevent.

Edited July 7, 2012 by The Architekt

[studiot]

Sorry for the earlier misreading I thought you had said one-dimensional analysis, which is about high school pure maths.

 

Never mind there are several disciplines that call soemthing plain dimensional analysis.

 

Physics calls Lagrangian Mechanics this but you will need advanced calculus as the subject is pretty advanced mathematically.

 

Physics also has a subject about units of measurement called simensional analysis which is to do with putting physical quantities like force and energy in terms of 5 basic dimensions which are mass, length, time, electric charge and temperature.

This is not really applicable to atomic and sub atomic physics and therefore electrons.

 

Chemistry and Pharmacy also uses this for keeping units correct

 

http://www.chem.tamu.edu/class/fyp/mathrev/mr-da.html

 

The first thing to establish is which form of dimensional analysis you are interested in.

[The Architekt]

"simensional analysis" is the one for me..

Where is a link to the basic steps,thanks!

 

This caught my eye here:

putting physical quantities like force and energy in terms of 5 basic dimensions which are mass, length, time, electric charge and temperature.

 

 

Sorry for the earlier misreading I thought you had said one-dimensional analysis, which is about high school pure maths.

 

Never mind there are several disciplines that call soemthing plain dimensional analysis.

 

Physics calls Lagrangian Mechanics this but you will need advanced calculus as the subject is pretty advanced mathematically.

 

Physics also has a subject about units of measurement called simensional analysis which is to do with putting physical quantities like force and energy in terms of 5 basic dimensions which are mass, length, time, electric charge and temperature.

This is not really applicable to atomic and sub atomic physics and therefore electrons.

 

Chemistry and Pharmacy also uses this for keeping units correct

 

http://www.chem.tamu...hrev/mr-da.html

 

The first thing to establish is which form of dimensional analysis you are interested in.