Differential forms and vector analysis where can I learn about differential forms,  what they represent and how to integrate them. 
PS: Where can I read about vectorial spaces and vectorial analysis,  especially how to integrate. 
I need these to understand my physics course,  classical mechanics. 

There are plenty of books about differential forms and each of us will have a personal favourite. If you are starting out, I would suggest maybe having a look at:


*

*Vector Analysis Versus Vector Calculus by Antonio Galbis

*Differential Forms:A Complement to Vector Calculus by Steven H. Weintraub

*Advanced Calculus: A Differential Forms Approach by Harold M. Edwards 


Hopefully one of those will have what you need. I am sure there are also plenty of notes you could find online that cover similar material. 
