Need a easy understanding book on Tensor.

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Discussion Overview

The discussion revolves around finding accessible resources for understanding tensor analysis, particularly in the context of electrodynamics. Participants share recommendations for books and materials that simplify the concepts of tensors without delving deeply into advanced topics like manifolds or fiber bundles.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant expresses a need for an easy-to-understand book on tensors, particularly for applications in electrodynamics, and mentions confusion with higher dimensions.
  • Another participant suggests "Schaum's Outlines for Tensor Calculus" for systematic learning without complex formalism.
  • Some participants discuss their experiences with Schaum's Vector Analysis, noting its inadequacy for teaching tensors and expressing a desire for more comprehensive resources.
  • A participant shares a link to "A Quick Introduction to Tensor Analysis," noting its free availability but uncertain quality.
  • Another participant recommends "A Brief on Tensor Analysis" by Simmonds as an excellent resource after personal experience with it.
  • Several participants agree on the value of free resources and Schaum's outlines as starting points, while also acknowledging their limitations.

Areas of Agreement / Disagreement

Participants generally agree on the usefulness of certain resources, such as Schaum's outlines and free materials, but there is no consensus on a single best book. Some express dissatisfaction with existing materials, indicating a variety of preferences and needs.

Contextual Notes

Participants express varying levels of familiarity with tensors and electrodynamics, which may influence their recommendations. There are mentions of specific topics like rank 3 tensors and the challenges of studying partial differential equations (PDEs) alongside tensor analysis.

Who May Find This Useful

Students and learners seeking introductory materials on tensor analysis, particularly those studying electrodynamics or related fields in physics and engineering.

yungman
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I am studying electrodynamics and I ran across tansor problem. I want to find a book that explain this in a very easy way so I can understand. I have materials that get into nth dimension. It get confusing. I just want to learn the basics in a very easy understandable way.

Thanks

Alan
 
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If you want to just learn the systematic aspect of tensor analysis as in how to manipulate and calculate all tensor related quantities without the formalism of manifolds, fiber bundles etc. then I suggest Schaum's Outlines for Tensor Calculus.
 
yungman said:
I am studying electrodynamics and I ran across tansor problem. I want to find a book that explain this in a very easy way so I can understand. I have materials that get into nth dimension. It get confusing. I just want to learn the basics in a very easy understandable way.

Thanks

Alan

What do you mean n-th dimension? I've only ever seen a rank 3 tensor in e/m.
 
Pengwuino said:
What do you mean n-th dimension? I've only ever seen a rank 3 tensor in e/m.

I was looking at Schaum's Vector analysis. It has a small section on it and call out for n space! Yes, in EM, I need only 3 space, that's the reason I am looking for more simple type.

My head is already spinning studying PDE and all to study electrodynamics, I just want to learn the simple ones for ED. But not so simple to the point of just follow the equation though. I find Schaums are too brief to really for learning.
 
Googling around, I found "A Quick introduction to tensor analysis" free for download:
http://arxiv.org/abs/math/0403252

I haven't read it, so I don't know how good it is, but the price is right.
 
yungman said:
I was looking at Schaum's Vector analysis. It has a small section on it and call out for n space! Yes, in EM, I need only 3 space, that's the reason I am looking for more simple type.

My head is already spinning studying PDE and all to study electrodynamics, I just want to learn the simple ones for ED. But not so simple to the point of just follow the equation though. I find Schaums are too brief to really for learning.

There's a Schaum's quide specifically for Tensor Calculus. It starts with the basic notion of tensors, NOT VECTORS. It's probably what you're looking for. The guide contains problems and solutions.
 
I would second the free and schaum's outline on tensor calculus as places to start, since they are cheap. (I too found the schaum on vector analysis to be inadequate to teach tensors.) IF those don't work for you, I really like "a brief on tensor analysis" by simmonds. I worked through it and thought it was excellent.

good luck,

jason
 
Thanks for all the suggestion, I am going to look into these.

Alan
 
jasonRF said:
I would second the free and schaum's outline on tensor calculus as places to start, since they are cheap. (I too found the schaum on vector analysis to be inadequate to teach tensors.) IF those don't work for you, I really like "a brief on tensor analysis" by simmonds. I worked through it and thought it was excellent.

good luck,

jason

Thanks

I just ordered one on Amazon for $36 free shipping.
 
  • #10
brocks said:
Googling around, I found "A Quick introduction to tensor analysis" free for download:
http://arxiv.org/abs/math/0403252

I haven't read it, so I don't know how good it is, but the price is right.

Thanks

I already download this. I am just going to get a few so if I get stuck on one, I can go on the other.
 

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