“Bott and Tu give us an introduction to algebraic topology via differential forms, imbued with the spirit of a master who knew differential forms way back when, yet . Text: Raoul Bott and Loring W. Tu, Differential Forms in Algebraic Topology, 3rd Algebraic topology offers a possible solution by transforming the geometric. The guiding principle in this book is to use differential forms as an aid in exploring some of the less digestible aspects of algebraic topology. Accord ingly, we.
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Apart from background in calculus and linear algbra I’ve thoroughly went through the first 5 chapters of Munkres. I’m thinking of reading “An introduction to manifolds” by Tu next.
I read in a review somewhere that the exercises are too easy. You would definitely need some basic understanding of manifolds, but I don’t think you will need too much. Though the book defines differential forms, it chooses algebraic approach.
Differential Forms in Algebraic Topology
So it would be difficult to read if you don’t know what differential forms really are. But alhebraic don’t need to read the whole book on manifolds.
If you will need some extra-stuff, you can always look it up. Loring Tu’s book seems to be a bit too slow at least for me.
You will only need Chapters 1 and 2 except “Differential ideals”. Altogether it is only about 50 pages, and I think Warner gives a concise and clear introduction to the subject. In general, I recommend after getting a bit comfortable with manifolds to start reading Bott-Tu. If you will see some unfamiliar term, you can always return back and learn about it. Otherwise you have a risk of spending too much time for learning a lot of things that you don’t need for the book, and some of them might not be important at all for you in the near future.
Speaking about exercises in Bott-Tu, there are indeed not too many of them, and most of them are pretty easy. But surprisingly enough, even though I didn’t solve tons of exercises, I have learned a lot, and I have gained a lot of skills from this book. So I personally don’t think you will need some extra-book with exercises. But if you topoloogy feel that you need some more problems on algebraic topology, there are a lot of nice books.
Differential Forms in Algebraic Topology : Raoul Bott :
Topolog Questions Tags Users Unanswered. I’ve never done the exercises from Bott-Tu, but I think your background is sufficient if you know basic facts about manifolds. Why do you want to read it? Because, if you only want to begin studying algebraic topology, I strongly suggest to start from Hatcher. Sasha Patotski 4, 1 14 algebrai Sign up or log in Sign up using Google. Sign up using Facebook. Sign up using Email and Password. Post as a guest Name.