A book on tensors like Linear Algebra by Friedberg et al.

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SUMMARY

This discussion focuses on recommendations for books that effectively explain tensors, similar to how "Linear Algebra" by Friedberg, Insel, and Spence presents linear algebra concepts. Participants suggest "A Student's Guide to Vectors and Tensors" by Daniel Fleisch as a helpful resource, along with "Linear Algebra Done Wrong" by Sergei Treil, which includes a chapter on tensors and is available for free online. Additionally, "A First Course in General Relativity" by Bernard Schutz is recommended for beginners, particularly its third chapter.

PREREQUISITES
  • Understanding of basic linear algebra concepts
  • Familiarity with tensor notation and operations
  • Basic knowledge of general relativity principles
  • Access to online educational resources
NEXT STEPS
  • Read "A Student's Guide to Vectors and Tensors" by Daniel Fleisch
  • Explore "Linear Algebra Done Wrong" by Sergei Treil for a free online resource
  • Study chapter 3 of "A First Course in General Relativity" by Bernard Schutz
  • Investigate additional resources on tensor calculus and applications
USEFUL FOR

Students and educators in mathematics and physics, particularly those seeking to deepen their understanding of tensors and their applications in linear algebra and general relativity.

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Hi, I am looking for a book that explains tensors and builds a working knowledge of tensors, like the book Linear Algebra by Friedberg Insel and Spence, which I thought explained things very well (if you haven't heard of it, its an intro. book on linear algebra). Thanks!
 
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You might find A Student's Guide to Vectors and Tensors, by Daniel Fleisch, helpful. I haven't read this book, but his other one on Maxwell's equations (in the same series) is great.
 
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Thanks for the suggestion! I actually have A Student's Guide to Lagrangians and Hamiltonians which is by a different author but is still really good
 
"Linear algebra done wrong" by Sergei Treil is an even better introduction to linear algebra. It has a chapter on tensors. And it's available for free online. http://www.math.brown.edu/~treil/papers/LADW/LADW.html

If you want something even easier to get you started, I recommend chapter 3 in "A first course in general relativity" by Bernard Schutz.
 

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