Robert Geroch: Mathematical Physics

Robert Geroch:Mathematical Physics

Geroch uses category theory to introduce us to the basic mathematical structures of vector spaces, groups, topological spaces, associative algebras and Hilbert spaces.

Category theory should be thought of as the "mathematics of mathematics", it unifies various structures and makes for a very economical frame work. As such, every mathematician, mathematical and theoretical physicist should have grasp of the basic language. Geroch's book is a great place to pick up some of this.

My only disappointment is that, despite Geroch being a relativist there is no discussion of modern geometry. Well, you can't have it all.

I fully recommend this book and I am very glad I have extended my library to include it.

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@Article{Geroch:1985ci,

author = "Geroch, Robert P.",

title = "{Mathematical physics}",

note = "The University of Chicago Press, 1985"

}