#894 in Computers & technology books
Reddit mentions of The Geometry of Spacetime: An Introduction to Special and General Relativity (Undergraduate Texts in Mathematics)
Sentiment score: 3
Reddit mentions: 4
We found 4 Reddit mentions of The Geometry of Spacetime: An Introduction to Special and General Relativity (Undergraduate Texts in Mathematics). Here are the top ones.
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How far into your undergrad are you?
You don't actually need to know any physics to understand the mathematics behind it (I know that sounds ridiculous but it's true).
Have you seen linear algebra yet? If so, proof-based or purely computational? What about analysis?
If you've taken linear algebra and multivariable calc then I think I have the book for you to start with (yes it can also be found at the less than legit free pdf sites): https://www.amazon.com/Geometry-Spacetime-Introduction-Undergraduate-Mathematics/dp/0387986413#reader_0387986413
Edit to add: once you've seen analysis and proof-based stuff, if you want to see the more general notion of time I was alluding to then a good starting place is Silva "Invitation to Ergodic Theory". It has nothing to do with the physical notion of time but everything to do with how we can make this idea very general (and very much different than spatial).
I was going to ask you how you stood with the mathematics of special relativity when I remembered this book. I read it a few years ago, and it might be something you're interested in.
i recommend some nice books which i've recently just made a comment about here.
in particular, i'd check the two books by geroch and ellis since they will make you very comfortable with spacetime diagrams. also check out the book space and time in special relativity by david mermin. books with a little more concrete math in them are special relativity by woodhouse and the geometry of spacetime by callahan
If you know basic linear algebra (at least what a matrix and it's eigenvectors are) you can work through this book. It is designed for undergrads who don't know any more than that and takes you near step by step through what I said in my post: formulates special relativity where the speed of light is an isometry then marches through the geometry and tensor analysis needed for general relativity. Then ends with a couple chapters of GR and it's consequences.
If you are an undergrad with basic linear algebra knowledge, this book was written for you.
> I dominated my quantum test today
That's awesome! Quantum mechanics is tough.