1. Aug 21, 2013

### manimaran1605

I am presently undergoing a course in Classical mechanics, here are some mathematical concepts that i haven't understand properly, These are the concepts
1) Tangent, normal , Radius of curvature of a vector function at a point
2) spherical, polar and cylindrical co-ordinates
3) taylor series

2. Aug 21, 2013

### phinds

Why do you need someone here to give you links when you could just look them up yourself?

3. Aug 21, 2013

### SteamKing

Staff Emeritus
That's what search engines like google and yahoo are for. The internet: it's more than just sharing cat videos!

4. Aug 21, 2013

### Electric Red

Just wait a second, I'm typing a reply for you, it only takes some time.
As soon as I am done having diner, I will reply, just wait for approx. 2 hours.

5. Aug 21, 2013

### SteamKing

Staff Emeritus
Are you having dinner in a diner or at home?

6. Aug 21, 2013

### Electric Red

Like phinds said, it is easier for you to just google it. Because many others were dealing with the same problems, but i will just asume that you already did that and still did not understand everything - or I will just did it to be nice.

1) tangent

I've got one image for you, just so you can visualize what we are talking about [PLAIN]https://upload.wikimedia.org/wikipedia/commons/6/61/Cercle_tangente_rayon.svg. [Broken]
A tangent line is just a line which gives the slope at a certain point of the function. In the image the function was a circle.

1) normal

The normal to a function is just a line perpendicular to the tangent at that point.

1) Radius of curvature, I will explain that one later. First I need to be sure that you understand what i just explained.

2) Spherical coördinates, those are the coördinates which are normally used when you want to calculate for instance the volume of a sphere, or just a part of a sphere.
I can into detail, but you need to tell me first wat exactly you want to know. Before I tell you more than you want to know and you start to get confused.
Polar coördinates are the coordinates which you will use for a 2D sphere; a circle.
But once again, tell me what you want to know.
Cylindrical coördinates are used to calculate the surface, volume and more of cylinders.

3) Taylor series: a Taylor series is a representation of a function as an infinite sum of terms that are calculated from the values of the function's derivatives at a single point.
I assume you know what a derivative is?

I know this will not help a lot, but tell me more about the things you want to know exactly.

Last edited by a moderator: May 6, 2017
7. Aug 21, 2013

### SteamKing

Staff Emeritus
It sounds like the OP has jumped into classical mechanics without having the proper mathematical foundation.

If the OP is hazy on what a tangent is, I suspect that the concept of a derivative is also somewhat unclear.

8. Aug 22, 2013

### BrettJimison

Good Day Manimaran1605!

It sounds like you may need to brush up on trig. A good book that you can get on amazon for a fair price is
Trigonometry Review by Klaf. Its an excellent book to refresh ones memory on Trig....although it will not help you with Taylor Series.