Links for these concepts please

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Discussion Overview

The discussion revolves around a request for resources related to specific mathematical concepts encountered in a Classical Mechanics course. The concepts include tangent, normal, radius of curvature of a vector function, spherical, polar, and cylindrical coordinates, and Taylor series. The scope includes both theoretical understanding and practical application of these mathematical ideas.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants suggest that the original poster (OP) should utilize search engines to find information on the requested concepts.
  • One participant offers a visual representation of the tangent line and explains the normal line and radius of curvature, indicating a willingness to provide further details based on the OP's needs.
  • Another participant discusses spherical, polar, and cylindrical coordinates, emphasizing the need for the OP to specify what they want to know to avoid confusion.
  • A participant mentions that the OP may lack a solid mathematical foundation, particularly regarding tangents and derivatives.
  • One suggestion includes a book recommendation for refreshing trigonometry knowledge, although it is noted that it may not assist with understanding Taylor series.

Areas of Agreement / Disagreement

There is no consensus on the best approach for the OP to take in addressing their understanding of the mathematical concepts. Some participants advocate for self-directed research, while others offer explanations and resources.

Contextual Notes

The discussion reflects varying levels of understanding among participants regarding the OP's mathematical background and the complexity of the concepts in question. There are also assumptions about the OP's prior knowledge that may not be fully addressed.

manimaran1605
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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
Thanks in advance
 
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Why do you need someone here to give you links when you could just look them up yourself?
 
That's what search engines like google and yahoo are for. The internet: it's more than just sharing cat videos!
 
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.
 
Are you having dinner in a diner or at home?
 
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.

Anyway, let's start with your first question:

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.
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.
 
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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.
 
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.
 

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