Geometry "The Geometry of Physics" - Theodore Frankel

[Falgun]

Hello everyone. I was browsing through Amazon and found the aforementioned book by Theodore Frankel. As it is available at a relatively cheap price and covers a TON of material I was considering buying it for future use . Although the author says the prerequisites are only multivariable calculus and linear algebra , I find it rather hard to believe. Can anyone who has actually used this book verify this statement?
Also would it make a good addition to my library? Can I use it for a first course in tensor analysis and differential geometry? Here's the link:
https://www.amazon.com/dp/1107602602/?tag=pfamazon01-20

I have gone through the following books as of now:

Hubbard's Vector calculus book
Tenenbaum & Pollard
Rudin's PMA (currently working on)

Any and all comments or suggestions would be welcome.

 

[George Jones]

I have gone through the following books as of now:

Hubbard's Vector calculus book
Tenenbaum & Pollard
Rudin's PMA (currently working on)

Have you worked the problems in Hubbard?

 

[Falgun]

Have you worked the problems in Hubbard?

I worked through almost all of them . I went through the whole appendix and on the whole I tried to prove things myself first.

 

[haushofer]

I was more of a Nakahara-guy :P

 

[Falgun]

I was more of a Nakahara-guy :

I have browsed through nakahara but it assumes much more in terms of physics prerequisites.

 

[dextercioby]

Nakahara goes farther than Frankel and at a higher pace, so he starts farther in the curriculum. I recommend Frankel's book. I haven't heard/read bad reviews. It provides what's missing from Boas, for example.

 

[Kolmo]

As above Nakahara goes further, but a lot of that involves advanced bundle theory to reach the Atiyah-Singer index theorem which might only be of interest if you wish to look at mathematical aspects of non-perturbative gauge theory.

Frankel would be the more natural starting point and has a good writing style.