Can anyone recommend some books talking about differential forms ?

AI Thread Summary
To learn differential forms, several book recommendations emerged in the discussion. Notable titles include "Advanced Calculus: A Differential Forms Approach" by Harold M. Edwards, which provides a solid foundation, and "A Geometric Approach to Differential Forms" by David Bachman, praised for its geometric perspective. Henri Cartan's work is recognized as advanced yet outstanding, while Harley Flanders' elementary exposition in an MAA book is suggested for overcoming initial apprehensions. John M. Lee's "Introduction to Smooth Manifolds" is also highlighted for its quality content on forms. Additional resources include various introductory texts linked for further exploration. Participants emphasized the importance of starting with accessible materials to build a strong understanding of differential forms.
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As in the title , I recently somehow want to learn differential form , but ,actually , I do not really know where I should start , or what books I should read ..

So,can anyone recommend some useful books ?
 
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abcdefg10645 said:
As in the title , I recently somehow want to learn differential form , but ,actually , I do not really know where I should start , or what books I should read ..

So,can anyone recommend some useful books ?

"Advanced calculus: A differential forms approach", by Harold M. Edwards

"A Geometric Approach to Differential Forms", by David Bachman
 
Bachman's book is excellent for a geometric understanding. The book of Henri Cartan is also outstanding, but more advanced than Bachman. I myself first overcame my fear of forms by reading the elementary exposition by Harley Flanders in an MAA book on global geometry.
 
The stuff about forms in "Introduction to smooth manifolds" by John M. Lee is very good.
 
Have a look at this link: http://www.math.cornell.edu/~sjamaar/classes/3210/
I would download the notes and get Weinstraub's book which is excellent as introduction.
 
sponsoredwalk,
Have a look at this link: http://www.math.cornell.edu/~sjamaar/classes/3210/
I would download the notes and get Weinstraub's book which is excellent as introduction.
 

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