#1,372 in Science & math books
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Reddit mentions of A Student's Guide to Vectors and Tensors (Student's Guides)
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Reddit mentions: 3
We found 3 Reddit mentions of A Student's Guide to Vectors and Tensors (Student's Guides). Here are the top ones.
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Cambridge University Press
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Grad, Div, Curl and all that by H. M. Schey, recommended here. There's also A Student's Guide to Vectors and Tensors by Daniel Fleisch if you want to cover tensors as well.
https://www.amazon.com/Students-Guide-Vectors-Tensors/dp/0521171903?ie=UTF8&tag=viglink20267-20
Hmm... it seems like you're trying to learn the meanings of technical terminology that doesn't really lend itself well to non-technical understanding. What I mean by that is the understanding of what a tensor is is completely opaque if you don't use it thoroughly in the mathematics. Likewise for a manifold.
There's no non-mathematical description I'd find satisfactory to tell you what a tensor is.
Luckily I found this book when I was an undergrad. This book is hands down the best I've ever seen for summarizing what a tensor is. I forget if he goes into manifolds, but I'm pretty sure he touches on them.