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Dec 1, 2012 at 19:26 comment added Mozibur Ullah I'd second Bott-Tu's differential forms
Dec 1, 2012 at 19:19 comment added David C If you know simplicial homology, cohomology and some basics in differential manifolds, Milnor Stasheff is quite readable. I completely agree with Deane Yang's comment, Bott-Tu is very worth reading.
Dec 1, 2012 at 18:31 comment added Deane Yang My recommendation is to go to a math library and glance through the books and papers that are being recommended to you. See which ones seem readable to you. Try one. If it works, great. Otherwise, try another one. You'll get better at figuring out what works and what doesn't. Any book with Milnor as an author or co-author is worth considering. Another beautiful book is Bott-Tu's Differential Forms in Algebraic Topology.
Dec 1, 2012 at 18:17 comment added user26832 I've already studied the whole Lee's book Introduction of topological manifolds and some books of simplicial homology. Do you think I can understand the Milnor Stasheff's book, for example? Thank you for your answer.
Dec 1, 2012 at 17:54 history answered David C CC BY-SA 3.0