Why posting Textbook Solutions ?
It seems that posting the solutions to some textbook problems may not be the best idea, since it will benefit students who don't want to spend too much time on a homework. However, I strongly believe that such solutions will mostly benefit students who have solved an exercise but still want to learn more by looking at different ways of approaching the problem. This relies on the fact that my solutions are in no way absolute; these are my personal solutions, and it is important to keep in mind that solutions to a problem are not unique. Moreover, a student that wasn't able to solve an exercise will now turn to AI instead of searching solutions on the internet. Again, I truly believe that the best way to benefit from these solutions is to first solve the problem and then look at the solutions.
[I solved all the exercises in the textooks A Transition to Advanced Mathematics and Understanding Analysis, but I wrote the solutions on paper, not on LaTeX. I hope that I will find time to rewrite the solutions on LaTeX one day so that I add my solutions on this page.]
[I am not satisfied with the template I am using for my solutions, I will try to change it soon.]