Should I read Introduction to Calculus and Analysis by Courant?

[Paul_dirac]

Should i read Introduction to Calculus and Analysis by Courant?
I have calculus background I want to study multivariable and single variable in rigorous way
There is a lot of books in this subject like Spivak, apstoal,Courant,... . I am not sure what to choose

 

[S.G. Janssens]

Come on Paul, you of all people don't need that kind of thing.

Seriously speaking: Nice, welcome to mathematical analysis. There was a topic on this recently that you may find useful. The forum search finds more such topics, as well as reviews of books. Opinions on what is (are) the best book(s) vary quite a bit, and the answer probably also depends on your own goals. (What do you want to do with your newly acquired knowledge?)

In general, whatever you choose, I would not opt for one of the "mathematical methods for physicists" books. They may be fine for what they aim to do, but usually rigor (in the mathematical sense) is not really part of that aim.

 

[MathematicalPhysicist]

Why not, there are some good exercises in it.

My suggestion find Blank's solution manual to these books, you can find a scanned copy of it in the internet, of course.

 

[MathematicalPhysicist]

My suggestion of Blank's book is only valid for the first volume of Courant and Fritz.
The second volume has answers in the back of the book.