Like the title says. I am self studying intro to proofs(How to prove it by velleman) so I can start an introduction to analysis. I am wondering if I should complete all the exercises in the textbook(about 25 proofs a chapter), or I should just roughly skim through and complete, for instance, just odds. Doing all the problems takes a lot of time and I want to get started on Spivak Calculus as soon as possible. However, doing every problem also give me more practice. Any ideas?
I have this book. A lot of the problems are pretty similar and there are a lot in there.
Normally, I'm in favor of doing all the exercises (since you get faster as you go). But I really don't think that quantity of drill is required for a strong student, especially since this is a course that some people still eschew (not taking any proofs class). Maybe do all the Spivak problems though.
The other thing is the book only has answers for the odds. So unless you have an answer guide, you can't check the evens.
Firstly, congratulations for taking on this task. Of course it is very important to actually complete problems, rather than just read the notes.
I would say that completing the odd numbers is a sensible compromise - you can go back and complete the even questions at a later date for more practice or revision.