If I want to learn about tensor mathematics - where do I need to start

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Discussion Overview

The discussion centers on the prerequisites for learning tensor mathematics, including necessary mathematical background and recommendations for resources such as books and websites.

Discussion Character

  • Exploratory, Homework-related

Main Points Raised

  • One participant inquires about the foundational mathematical knowledge required to start learning tensor mathematics and seeks resource recommendations.
  • Another participant suggests a specific book and emphasizes the importance of having a background in linear algebra and multivariable calculus for understanding tensors.
  • A different participant recommends Bowen & Wang's "Introduction to Vectors and Tensors" and notes that familiarity with basic abstract algebra may also be beneficial for grasping the language and notation used in tensor definitions.

Areas of Agreement / Disagreement

Participants generally agree on the necessity of linear algebra and multivariable calculus as prerequisites, but there is no consensus on a single resource, as multiple recommendations are provided.

Contextual Notes

Some assumptions about the level of prior knowledge in mathematics are present, but these are not explicitly defined. The discussion does not resolve the best approach to learning tensor mathematics.

mtc1973
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If I want to learn about tensor mathematics - where do I need to start (i.e. what precursory mathematical knowledge will I need) and does anyone have any good site/book recommendations?

thanks
 
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This is what I often recommend --
https://www.amazon.com/dp/048661879X/?tag=pfamazon01-20

If you don't already have any, then you'll need to have some background in linear algebra (and for starting tensors, you'll also need familiarity with calculus in Rn space (multivariable calculus)). This book covers the multivariable calculus, but you'll need to learn linear algebra from some other source.
 
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excellent - thanks
 

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