Calculus Just got Courant's calculus text -- Need some tips to work through it

[Mr.Husky]

Hi everyone!

I just bought the courant John calculus volume-1 from uni bookstore. I need some tips like errors, topics which are not explained well and topics which are really important and need to focus more on etc..

My background:- have Spivak as a supplement. Knows how to prove and read theorems( from the book how to prove it ).Halfway through schaum's outline of matrices.

 

[MidgetDwarf]

I don't recall any glaring errors in Courant. I have the first edition without FritzJohn? as coauthor.

Everything is important in Courant :).

 

[Mr.Husky]

Thanks @MidgetDwarf , Good to hear that.

 

[Mr.Husky]

There are less problems in this book. Are they enough to test my theory? Can someone recommend me a problem book which is at this level?(can I solve problems in Spivak with theory of courant?)

 

[mathwonk]

yes, spivak is essentially a modern version of courant. i.e. spivak himself perhaps took calculus from courant (i.e. Courant's book) and then wrote his own take on the material, with some proofs lifted from courant, but with many additions and elaborations.

Basically you just need to start digging into the book, without worrying any more about what problems you will encounter. No matter what preparation you make, it will still be challenging. I advise just opening it. (Of course I also need that advice myself in my current projects!) Good luck! (to us both.)

 

[Mr.Husky]

Thanks mathwonk for your advice.