Answers to questions from the book: Real Analysis by Stein

[the_dane]

Hi

I am trying to teach myself Measure Theory and I am using the book: Real Analysis by Stein and Skakarchi from Princeton.
I want to check if my answers to the questions are correct, so I am asking: Does anyone have the answers to the questions in chapter 1 ?

 

[BvU]

Velkom Dane

You did google "stein real analysis solutions" I suppose ? And want more than I found e.g. here ?

 

[the_dane]

Velkom Dane

You did google "stein real analysis solutions" I suppose ? And want more than I found e.g. here ?

Hi.
Thank you for your help. Yes I did find this one. Not every exercise is on that link, and I wanted to do those exercises which is about proving some claims, and there is not many of those on that link. That's why I asked in here.

Thanks though

 

[MidgetDwarf]

It is better to actually think of the material, then finding solutions. The more you start thinking and solving things, albeit they may be small or insignificant, is one more time your brain grows stronger. If you need solutions for Analysis, then you are doing it wrong.

 

[micromass]

It is better to actually think of the material, then finding solutions. The more you start thinking and solving things, albeit they may be small or insignificant, is one more time your brain grows stronger. If you need solutions for Analysis, then you are doing it wrong.

I don't know about this. Sure, ideally it would be good to solve all problems of an analysis book yourself without any help. But you only have so much time. And some problems are really tricky. So I'd say that if you searched for a solution for some time, it is ok to look a bit at the solutions.

Sure, it's not good to look at the solutions of all the problems. If you can't solve a single problem, then something is wrong. But if you have a tough problem that requires some ingenious trick that you just can't find, then I'd say look at the solution. Just be sure to actually put some effort in the problem before looking at the solution. That is the important part.

 

[micromass]

I don't know about this. Sure, ideally it would be good to solve all problems of an analysis book yourself without any help. But you only have so much time. And some problems are really tricky. So I'd say that if you searched for a solution for some time, it is ok to look a bit at the solutions.

Sure, it's not good to look at the solutions of all the problems. If you can't solve a single problem, then something is wrong. But if you have a tough problem that requires some ingenious trick that you just can't find, then I'd say look at the solution. Just be sure to actually put some effort in the problem before looking at the solution. That is the important part.

Add to this that not all problems are created equal. And then I'm not talking about how difficult it is to solve. I'm talking about that you will gain more out of one problem than the other. There might be very difficult problems which are just a waste of time because they don't get you any cool intuition or problem solving tool. Or there might be very easy problems which actually can cause a big landslide in your worldview. This is something to keep in mind when deciding how much time you spend on a problem and when to look at the solution.