Naber's Topology, geometry and gauge fields and similar books

AI Thread Summary
The discussion centers on two mathematical books by Naber that cover topics like homotopy, homology, bundles, and characteristic classes, while also establishing clear connections to physics. The books maintain mathematical rigor and are praised for their comprehensive treatment of standard mathematical concepts. Participants share their experiences with the exercises in the texts, questioning their depth and effectiveness in fostering understanding. Recommendations for similar books include works by Göckeler and Schücker, Raifertaigh, Nash, Atiyah, and others, highlighting a range of resources that explore differential geometry, gauge theories, and related fields.
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Hello,

This thread is about the two books by Naber:

https://www.amazon.com/dp/1461426820/?tag=pfamazon01-20
https://www.amazon.com/dp/0387989471/?tag=pfamazon01-20

The topics in this book seem excellent. They are standard mathematical topics such as homotopy, homology, bundles, characteristic classes, etc. But unlike math books, the links to physics are clearly displayed. Nevertheless, the book does remain mathematically rigorous.

If anybody here went through this text, what did you think about it? And did you find the exercises suitable enough to make you understand the topic (versus superficial exercises).

Does anybody know similar books to this one which are good?
 
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hi. I read these books. I recommend reading: göckeler, schücker - differential geometry gauge theories and gravity, raifertaigh - group structure of Gauge theory, nash - differential topology and qft, atiyah - geometry of yang-mills fields, clay math.monograph - mirror symmetry, morita - geometry of diff. forms, peter michor - Gauge theory for fiber bundles (short lecture notes).

You can find further other books.
 
By looking around, it seems like Dr. Hassani's books are great for studying "mathematical methods for the physicist/engineer." One is for the beginner physicist [Mathematical Methods: For Students of Physics and Related Fields] and the other is [Mathematical Physics: A Modern Introduction to Its Foundations] for the advanced undergraduate / grad student. I'm a sophomore undergrad and I have taken up the standard calculus sequence (~3sems) and ODEs. I want to self study ahead in mathematics...

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