Good book about Vector Calculus?

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SUMMARY

The discussion centers on finding accessible resources for studying Vector Calculus, particularly in relation to Coordinate Transformation. The recommended book is "Div, Grad, Curl and all That" by H.M. Schey, published by W.W. Norton in 1992, which is noted for its intuitive approach. The original poster, cristina89, expressed difficulty with the recommended textbook "Mathematical Methods for Physicists" by Arfken, indicating a need for simpler materials. Participants suggest utilizing university libraries to access these resources.

PREREQUISITES
  • Understanding of basic Vector Calculus concepts
  • Familiarity with Coordinate Transformation principles
  • Knowledge of mathematical notation and terminology
  • Access to academic resources, such as university libraries
NEXT STEPS
  • Research "Div, Grad, Curl and all That" by H.M. Schey for intuitive explanations of Vector Calculus
  • Explore online resources or lecture notes on Coordinate Transformation techniques
  • Investigate additional textbooks that simplify Vector Calculus concepts
  • Look for video tutorials or courses on platforms like Coursera or Khan Academy focusing on Vector Calculus
USEFUL FOR

This discussion is beneficial for students studying Vector Calculus, particularly those preparing for tests on Coordinate Transformation, as well as educators seeking alternative teaching materials.

cristina89
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I'm studying Vector Calculus right now, and I'll have a test about Coordinate Transformation soon. But the book my teacher recommended (Mathematical Methods for Physicists - Arfken) is way too hard to understand this subject. Does anyone know any good material about this that I can find on internet?

Thank you.
 
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cristina89 said:
I'm studying Vector Calculus right now, and I'll have a test about Coordinate Transformation soon. But the book my teacher recommended (Mathematical Methods for Physicists - Arfken) is way too hard to understand this subject. Does anyone know any good material about this that I can find on internet?

Thank you.

Hey cristina89 and welcome to the forums.

For something more intuitive I would recommend the book "Div, Grad, Curl and all That". If you are at a university I think your library should have this book.

Div, grad, curl, and all that : an informal text on vector calculus / H.M. Schey
Published New York : W.W. Norton, c1992

Not sure if there are newer versions, but this one definitely exists.
 
chiro said:
Hey cristina89 and welcome to the forums.

For something more intuitive I would recommend the book "Div, Grad, Curl and all That". If you are at a university I think your library should have this book.

Div, grad, curl, and all that : an informal text on vector calculus / H.M. Schey
Published New York : W.W. Norton, c1992

Not sure if there are newer versions, but this one definitely exists.

Thank you so much! I'll try to find this book tomorrow.

I just need to have an idea of how, given a transformation, I find a new basis, a normalized basis, the displacement, gradient, the volume in the new basis... This kind of thing.

If anyone else knows any other book, please tell me, it would help me a lot (:
 

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