I am a biochemistry graduate student who works on cancer. I am interested in learning proofs as a personal interest. I use math as a tool, but would like to start building a deeper understanding on my own. I am not taking any course. Hence, I am looking for a book with theory, exercise, and solution manual, in case I am stuck. I find this forum extremely helpful, but I would still like to have a reference. Most books that I have started looking to buy do not have a solution manual. Can anyone recommend an author? Sorry for this general question. Thank you!
EDIT:
I watched the movie Good Will Hunting, so I feel confident! lol I
Best Answer
In my experience you won't tend to find a book with a solution manual and if you do you won't find one that does a lot of exercises as proofs can get pretty long and tedious in a hurry. Most authors, I think, assume that you will be interacting a fair amount with your professors/other students at that point so I don't think they get written very much.
For a basic text into abstract math I would suggest my undergraduate text "Bridge to Abstract Mathematics" it does a good job of making important remarks and breaking things down. There is, no surprise, not a solution manual that I am aware of but I have a set of YouTube videos going up that go through and lecture on each chapter and do a number of the examples/problems in detail. They will start going up in a few weeks under the username superphyz and I will link them in the comments later if you comment and let me me know if that will be useful to you.
Good luck!