DOCUMENTS FOR STUDYING

The following shared files from Overleaf are projects of my studying for courses and qualifying exams, general exams in the department, and they are "typing in progress". Most of them are my ideas, but I am not sure if they all correct 100% so please contact me via my email if you see something wrong that I need to fix or you have better idea for me to solve it. Also, there are some solutions that I collected from many sources from the internet or from many people ideas (could be my professors too), so please, if you see your idea, solution there, let me know so I can tag your name for a credit. These are for studying purposes, not for selling or commercial publishing.

Functional Analysis by Christian Remling (Solutions of exercises on Chapters 8 - 10, Functional Analysis II Spring 2025): Functional_Analysis__Remling_.pdf 

The Rauch Comparison Theorem (from Do Carmo): The_Rauch_Comparison_Theorem.pdf 

Topology Review (from Munkres and Hatcher): Topology_Review.pdf 

Algebra Review (from Dummit and Foote): Algebra_Review.pdf 

Analysis Review (from Folland): Real_Analysis_Review.pdf