A good book on measure theory for self study
0
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I have been looking for a book on measure theory and im a bit stuck. I have checked out real analysis by stein and measure theory by tao. These books seem to emphasize a rigorous but intuitive approach. I have also checked out rudin, folland, etc. Which are more standard for a beginning grad course. My question is which book should i go with for self study and is it one of the ones ive checked out or a lesser known book?
real-analysis measure-theory reference-request
edited Dec 26 '18 at 22:55
rafa11111
1,2042417
asked Dec 26 '18 at 21:17
Samuel MillardSamuel Millard
686
$endgroup$
add a comment |
0
$begingroup$
I have been looking for a book on measure theory and im a bit stuck. I have checked out real analysis by stein and measure theory by tao. These books seem to emphasize a rigorous but intuitive approach. I have also checked out rudin, folland, etc. Which are more standard for a beginning grad course. My question is which book should i go with for self study and is it one of the ones ive checked out or a lesser known book?
real-analysis measure-theory reference-request
edited Dec 26 '18 at 22:55
rafa11111
1,2042417
asked Dec 26 '18 at 21:17
Samuel MillardSamuel Millard
686
$endgroup$
$begingroup$
I've heard good things about Cohn's Measure Theory, though I haven't read it myself yet.
$endgroup$
– MisterRiemann
Dec 26 '18 at 21:27
$begingroup$
Personally, I’ve used Royden’s Real Analysis (third edition) and Wheeden and Zygmund’s Measure and Integral. I liked both of these books but prefer Royden’s.
$endgroup$
– Clayton
Dec 26 '18 at 21:35
$begingroup$
Back in the day, people liked Bartle’s book. Roy den is the standard if you take a class. Halmos’ book has good things about it. Sacks had a good book. I would get a bunch of sources and read them simultaneously as you don’t have a teacher. Gaps in one source fill another. Also you find the one book that speaks to you more directly than the others and that will be your guide.
$endgroup$
– Charlie Frohman
Dec 26 '18 at 22:00
$begingroup$
You could try Measures, integrals and martingales by R. Schilling. The book is a nice read and has plenty of exercises (solutions are available on the webpage).
$endgroup$
– saz
Dec 27 '18 at 17:31
add a comment |
0
0
0
$begingroup$
I have been looking for a book on measure theory and im a bit stuck. I have checked out real analysis by stein and measure theory by tao. These books seem to emphasize a rigorous but intuitive approach. I have also checked out rudin, folland, etc. Which are more standard for a beginning grad course. My question is which book should i go with for self study and is it one of the ones ive checked out or a lesser known book?
real-analysis measure-theory reference-request
edited Dec 26 '18 at 22:55
rafa11111
1,2042417
asked Dec 26 '18 at 21:17
Samuel MillardSamuel Millard
686
$endgroup$
I have been looking for a book on measure theory and im a bit stuck. I have checked out real analysis by stein and measure theory by tao. These books seem to emphasize a rigorous but intuitive approach. I have also checked out rudin, folland, etc. Which are more standard for a beginning grad course. My question is which book should i go with for self study and is it one of the ones ive checked out or a lesser known book?
real-analysis measure-theory reference-request
real-analysis measure-theory reference-request
edited Dec 26 '18 at 22:55
rafa11111
1,2042417
asked Dec 26 '18 at 21:17
Samuel MillardSamuel Millard
686
edited Dec 26 '18 at 22:55
rafa11111
1,2042417
asked Dec 26 '18 at 21:17
Samuel MillardSamuel Millard
686
edited Dec 26 '18 at 22:55
rafa11111
1,2042417
edited Dec 26 '18 at 22:55
rafa11111
1,2042417
edited Dec 26 '18 at 22:55
rafa11111
1,2042417
1,2042417
asked Dec 26 '18 at 21:17
Samuel MillardSamuel Millard
686
asked Dec 26 '18 at 21:17
Samuel MillardSamuel Millard
686
asked Dec 26 '18 at 21:17
Samuel MillardSamuel Millard
686
686
$begingroup$
I've heard good things about Cohn's Measure Theory, though I haven't read it myself yet.
$endgroup$
– MisterRiemann
Dec 26 '18 at 21:27
$begingroup$
Personally, I’ve used Royden’s Real Analysis (third edition) and Wheeden and Zygmund’s Measure and Integral. I liked both of these books but prefer Royden’s.
$endgroup$
– Clayton
Dec 26 '18 at 21:35
$begingroup$
Back in the day, people liked Bartle’s book. Roy den is the standard if you take a class. Halmos’ book has good things about it. Sacks had a good book. I would get a bunch of sources and read them simultaneously as you don’t have a teacher. Gaps in one source fill another. Also you find the one book that speaks to you more directly than the others and that will be your guide.
$endgroup$
– Charlie Frohman
Dec 26 '18 at 22:00
$begingroup$
You could try Measures, integrals and martingales by R. Schilling. The book is a nice read and has plenty of exercises (solutions are available on the webpage).
$endgroup$
– saz
Dec 27 '18 at 17:31
add a comment |
$begingroup$
I've heard good things about Cohn's Measure Theory, though I haven't read it myself yet.
$endgroup$
– MisterRiemann
Dec 26 '18 at 21:27
$begingroup$
Personally, I’ve used Royden’s Real Analysis (third edition) and Wheeden and Zygmund’s Measure and Integral. I liked both of these books but prefer Royden’s.
$endgroup$
– Clayton
Dec 26 '18 at 21:35
$begingroup$
Back in the day, people liked Bartle’s book. Roy den is the standard if you take a class. Halmos’ book has good things about it. Sacks had a good book. I would get a bunch of sources and read them simultaneously as you don’t have a teacher. Gaps in one source fill another. Also you find the one book that speaks to you more directly than the others and that will be your guide.
$endgroup$
– Charlie Frohman
Dec 26 '18 at 22:00
$begingroup$
You could try Measures, integrals and martingales by R. Schilling. The book is a nice read and has plenty of exercises (solutions are available on the webpage).
$endgroup$
– saz
Dec 27 '18 at 17:31
$begingroup$
I've heard good things about Cohn's Measure Theory, though I haven't read it myself yet.
$endgroup$
– MisterRiemann
Dec 26 '18 at 21:27
$begingroup$
I've heard good things about Cohn's Measure Theory, though I haven't read it myself yet.
$endgroup$
– MisterRiemann
Dec 26 '18 at 21:27
$begingroup$
Personally, I’ve used Royden’s Real Analysis (third edition) and Wheeden and Zygmund’s Measure and Integral. I liked both of these books but prefer Royden’s.
$endgroup$
– Clayton
Dec 26 '18 at 21:35
$begingroup$
Personally, I’ve used Royden’s Real Analysis (third edition) and Wheeden and Zygmund’s Measure and Integral. I liked both of these books but prefer Royden’s.
$endgroup$
– Clayton
Dec 26 '18 at 21:35
$begingroup$
Back in the day, people liked Bartle’s book. Roy den is the standard if you take a class. Halmos’ book has good things about it. Sacks had a good book. I would get a bunch of sources and read them simultaneously as you don’t have a teacher. Gaps in one source fill another. Also you find the one book that speaks to you more directly than the others and that will be your guide.
$endgroup$
– Charlie Frohman
Dec 26 '18 at 22:00
$begingroup$
Back in the day, people liked Bartle’s book. Roy den is the standard if you take a class. Halmos’ book has good things about it. Sacks had a good book. I would get a bunch of sources and read them simultaneously as you don’t have a teacher. Gaps in one source fill another. Also you find the one book that speaks to you more directly than the others and that will be your guide.
$endgroup$
– Charlie Frohman
Dec 26 '18 at 22:00
$begingroup$
You could try Measures, integrals and martingales by R. Schilling. The book is a nice read and has plenty of exercises (solutions are available on the webpage).
$endgroup$
– saz
Dec 27 '18 at 17:31
$begingroup$
You could try Measures, integrals and martingales by R. Schilling. The book is a nice read and has plenty of exercises (solutions are available on the webpage).
$endgroup$
– saz
Dec 27 '18 at 17:31
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$begingroup$
I've heard good things about Cohn's Measure Theory, though I haven't read it myself yet.
$endgroup$
– MisterRiemann
Dec 26 '18 at 21:27
$begingroup$
Personally, I’ve used Royden’s Real Analysis (third edition) and Wheeden and Zygmund’s Measure and Integral. I liked both of these books but prefer Royden’s.
$endgroup$
– Clayton
Dec 26 '18 at 21:35
$begingroup$
Back in the day, people liked Bartle’s book. Roy den is the standard if you take a class. Halmos’ book has good things about it. Sacks had a good book. I would get a bunch of sources and read them simultaneously as you don’t have a teacher. Gaps in one source fill another. Also you find the one book that speaks to you more directly than the others and that will be your guide.
$endgroup$
– Charlie Frohman
Dec 26 '18 at 22:00
$begingroup$
You could try Measures, integrals and martingales by R. Schilling. The book is a nice read and has plenty of exercises (solutions are available on the webpage).
$endgroup$
– saz
Dec 27 '18 at 17:31