MHB Differential Topology Notes - at undergraduate level

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The discussion centers on finding resources for studying Differential Topology, particularly at an undergraduate level. The original poster, Peter, is using Lee's book on Smooth Manifolds and seeks online lecture notes that include diagrams and examples. A response highlights that there are limited undergraduate-level textbooks specifically for Differential Topology, noting that Guillemin and Pollack's "Differential Topology" is commonly used in some undergraduate programs. Another resource mentioned is a text that leans more towards differential geometry. The conversation emphasizes the challenge of finding suitable educational materials in this specialized field.
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I am trying to understand Differential Topology using several textbooks including Lee's book on Smooth Manifolds.

I am looking for some good online lecture notes at undergraduate level (especially if they have good diagrams and examples) in order to supplement the texts ...

Can anyone help in this matter ...

Peter
 
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Hi Peter,

In my opinion, there really isn't an 'undergraduate level' textbook in differential topology (there are however more undergrad textbooks in differential geometry). Some undergraduate programs use Guillemin and Pollack's Differential Topology as the standard textbook. Here is another text, but more on the side of differential geometry.

http://www.wisdom.weizmann.ac.il/~yakov/scanlib/hicks.pdf
 
Euge said:
Hi Peter,

In my opinion, there really isn't an 'undergraduate level' textbook in differential topology (there are however more undergrad textbooks in differential geometry). Some undergraduate programs use Guillemin and Pollack's Differential Topology as the standard textbook. Here is another text, but more on the side of differential geometry.

http://www.wisdom.weizmann.ac.il/~yakov/scanlib/hicks.pdf
Thanks for the advice and help, Euge ...

Peter
 
Im currently reading mathematics for physicists by Philippe Dennery and André Krzywicki, and I’m understanding most concepts however I think it would be better for me to get a book on complex analysis or calculus to better understand it so I’m not left looking at an equation for an hour trying to figure out what it means. So here comes the split, do I get a complex analysis book? Or a calculus book? I might be able to Borrow a calculus textbook from my math teacher study that for a bit and...

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