Advice on (my) Measure Theory book choice needed

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I just finished by measure theory course and I feel the need to really solidify my limited knowledge as I am not happy with the final marks I was able to get.

I did some research online and arrived at the following book choices in reading order, I would like some advice/recommendations on whether my choice of books is appropriate or not.

My knowledge on this subject is fairly limited and I do have a very simplistic understanding on most topics. I decided to start right from the beginning. Here are the books I decided to add to my reading list:

1. Lebesgue Integration on Euclidean Space, Revised Edition (Jones and Bartlett Books in Mathematics) -- Frank Jones


2. Real Analysis -- Royden


3. Real and Complex Analysis -- Rudin


4. Real Analysis: Modern Techniques and Their Applications -- Folland

I am also thinking of picking up a copy of "Functional Analysis" by Rudin. Would it be necessary to get the Royden book (listed above) along with the Rudin one, or is the Rudin one enough? Are there any better alternatives worth looking into?

Any advice is appreciated, thanks!

real-analysis complex-analysis measure-theory lebesgue-measure book-recommendation

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edited Aug 1 at 10:26

Martin Sleziak

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asked Aug 1 at 5:35

Hypergeometry

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up vote
1
down vote

favorite

I just finished by measure theory course and I feel the need to really solidify my limited knowledge as I am not happy with the final marks I was able to get.

I did some research online and arrived at the following book choices in reading order, I would like some advice/recommendations on whether my choice of books is appropriate or not.

My knowledge on this subject is fairly limited and I do have a very simplistic understanding on most topics. I decided to start right from the beginning. Here are the books I decided to add to my reading list:

1. Lebesgue Integration on Euclidean Space, Revised Edition (Jones and Bartlett Books in Mathematics) -- Frank Jones


2. Real Analysis -- Royden


3. Real and Complex Analysis -- Rudin


4. Real Analysis: Modern Techniques and Their Applications -- Folland

I am also thinking of picking up a copy of "Functional Analysis" by Rudin. Would it be necessary to get the Royden book (listed above) along with the Rudin one, or is the Rudin one enough? Are there any better alternatives worth looking into?

Any advice is appreciated, thanks!

real-analysis complex-analysis measure-theory lebesgue-measure book-recommendation

share|cite|improve this question

edited Aug 1 at 10:26

Martin Sleziak

43.4k6113259

asked Aug 1 at 5:35

Hypergeometry

346

add a comment | 

up vote
1
down vote

favorite

up vote
1
down vote

favorite

I just finished by measure theory course and I feel the need to really solidify my limited knowledge as I am not happy with the final marks I was able to get.

I did some research online and arrived at the following book choices in reading order, I would like some advice/recommendations on whether my choice of books is appropriate or not.

My knowledge on this subject is fairly limited and I do have a very simplistic understanding on most topics. I decided to start right from the beginning. Here are the books I decided to add to my reading list:

1. Lebesgue Integration on Euclidean Space, Revised Edition (Jones and Bartlett Books in Mathematics) -- Frank Jones


2. Real Analysis -- Royden


3. Real and Complex Analysis -- Rudin


4. Real Analysis: Modern Techniques and Their Applications -- Folland

I am also thinking of picking up a copy of "Functional Analysis" by Rudin. Would it be necessary to get the Royden book (listed above) along with the Rudin one, or is the Rudin one enough? Are there any better alternatives worth looking into?

Any advice is appreciated, thanks!

real-analysis complex-analysis measure-theory lebesgue-measure book-recommendation

share|cite|improve this question

edited Aug 1 at 10:26

Martin Sleziak

43.4k6113259

asked Aug 1 at 5:35

Hypergeometry

346

I just finished by measure theory course and I feel the need to really solidify my limited knowledge as I am not happy with the final marks I was able to get.

I did some research online and arrived at the following book choices in reading order, I would like some advice/recommendations on whether my choice of books is appropriate or not.

My knowledge on this subject is fairly limited and I do have a very simplistic understanding on most topics. I decided to start right from the beginning. Here are the books I decided to add to my reading list:

1. Lebesgue Integration on Euclidean Space, Revised Edition (Jones and Bartlett Books in Mathematics) -- Frank Jones


2. Real Analysis -- Royden


3. Real and Complex Analysis -- Rudin


4. Real Analysis: Modern Techniques and Their Applications -- Folland

I am also thinking of picking up a copy of "Functional Analysis" by Rudin. Would it be necessary to get the Royden book (listed above) along with the Rudin one, or is the Rudin one enough? Are there any better alternatives worth looking into?

Any advice is appreciated, thanks!

real-analysis complex-analysis measure-theory lebesgue-measure book-recommendation

share|cite|improve this question

edited Aug 1 at 10:26

Martin Sleziak

43.4k6113259

asked Aug 1 at 5:35

Hypergeometry

346

share|cite|improve this question

share|cite|improve this question

edited Aug 1 at 10:26

Martin Sleziak

43.4k6113259

edited Aug 1 at 10:26

Martin Sleziak

43.4k6113259

edited Aug 1 at 10:26

Martin Sleziak

43.4k6113259

43.4k6113259

asked Aug 1 at 5:35

Hypergeometry

346

asked Aug 1 at 5:35

Hypergeometry

346

asked Aug 1 at 5:35

Hypergeometry

346

346

add a comment | 

add a comment | 

2 Answers
2

active

oldest

votes

up vote
1
down vote

I recommend A User-Friendly Introduction to Lebesgue Measure and Integration.

share|cite|improve this answer

answered Aug 1 at 5:58

Kenny Lau

17.7k2156

• 
  
  
  

  
  

  
  
  
  
  
  

  
  Thanks! I'll give it a look.
  – Hypergeometry
  Aug 1 at 6:00
  

  
  
  
  

add a comment | 

up vote
0
down vote

You can follow Real analysis by Stein and Shakarchi. Book gives measure theory description with the use of cubical covering makes it very intuitive.

share|cite|improve this answer

edited Aug 1 at 10:26

Martin Sleziak

43.4k6113259

answered Aug 1 at 5:43

Ninja hatori

105113

• 
  
  
  

  
  

  
  
  
  
  
  

  
  I did consider that book, however some reviews indicated that the book glosses over some minor but important points, making it hard to follow as a beginner. Some also claim there's minor errors. It does seem like a solid book, but I don't know if it's better than No. 1 listed above. I will wait for someone who's read both to give thoughts. Thanks!
  – Hypergeometry
  Aug 1 at 5:47
  

  
  
  
  

add a comment | 

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2 Answers
2

active

oldest

votes

2 Answers
2

active

oldest

votes

active

oldest

votes

active

oldest

votes

up vote
1
down vote

I recommend A User-Friendly Introduction to Lebesgue Measure and Integration.

share|cite|improve this answer

answered Aug 1 at 5:58

Kenny Lau

17.7k2156

• 
  
  
  

  
  

  
  
  
  
  
  

  
  Thanks! I'll give it a look.
  – Hypergeometry
  Aug 1 at 6:00
  

  
  
  
  

add a comment | 

up vote
1
down vote

I recommend A User-Friendly Introduction to Lebesgue Measure and Integration.

share|cite|improve this answer

answered Aug 1 at 5:58

Kenny Lau

17.7k2156

• 
  
  
  

  
  

  
  
  
  
  
  

  
  Thanks! I'll give it a look.
  – Hypergeometry
  Aug 1 at 6:00
  

  
  
  
  

add a comment | 

up vote
1
down vote

up vote
1
down vote

I recommend A User-Friendly Introduction to Lebesgue Measure and Integration.

share|cite|improve this answer

answered Aug 1 at 5:58

Kenny Lau

17.7k2156

I recommend A User-Friendly Introduction to Lebesgue Measure and Integration.

share|cite|improve this answer

answered Aug 1 at 5:58

Kenny Lau

17.7k2156

share|cite|improve this answer

share|cite|improve this answer

answered Aug 1 at 5:58

Kenny Lau

17.7k2156

answered Aug 1 at 5:58

Kenny Lau

17.7k2156

answered Aug 1 at 5:58

Kenny Lau

17.7k2156

17.7k2156

• 
  
  
  

  
  

  
  
  
  
  
  

  
  Thanks! I'll give it a look.
  – Hypergeometry
  Aug 1 at 6:00
  

  
  
  
  

add a comment | 

• 
  
  
  

  
  

  
  
  
  
  
  

  
  Thanks! I'll give it a look.
  – Hypergeometry
  Aug 1 at 6:00
  

  
  
  
  

Thanks! I'll give it a look.
– Hypergeometry
Aug 1 at 6:00

Thanks! I'll give it a look.
– Hypergeometry
Aug 1 at 6:00

add a comment | 

up vote
0
down vote

You can follow Real analysis by Stein and Shakarchi. Book gives measure theory description with the use of cubical covering makes it very intuitive.

share|cite|improve this answer

edited Aug 1 at 10:26

Martin Sleziak

43.4k6113259

answered Aug 1 at 5:43

Ninja hatori

105113

• 
  
  
  

  
  

  
  
  
  
  
  

  
  I did consider that book, however some reviews indicated that the book glosses over some minor but important points, making it hard to follow as a beginner. Some also claim there's minor errors. It does seem like a solid book, but I don't know if it's better than No. 1 listed above. I will wait for someone who's read both to give thoughts. Thanks!
  – Hypergeometry
  Aug 1 at 5:47
  

  
  
  
  

add a comment | 

up vote
0
down vote

You can follow Real analysis by Stein and Shakarchi. Book gives measure theory description with the use of cubical covering makes it very intuitive.

share|cite|improve this answer

edited Aug 1 at 10:26

Martin Sleziak

43.4k6113259

answered Aug 1 at 5:43

Ninja hatori

105113

• 
  
  
  

  
  

  
  
  
  
  
  

  
  I did consider that book, however some reviews indicated that the book glosses over some minor but important points, making it hard to follow as a beginner. Some also claim there's minor errors. It does seem like a solid book, but I don't know if it's better than No. 1 listed above. I will wait for someone who's read both to give thoughts. Thanks!
  – Hypergeometry
  Aug 1 at 5:47
  

  
  
  
  

add a comment | 

up vote
0
down vote

up vote
0
down vote

You can follow Real analysis by Stein and Shakarchi. Book gives measure theory description with the use of cubical covering makes it very intuitive.

share|cite|improve this answer

edited Aug 1 at 10:26

Martin Sleziak

43.4k6113259

answered Aug 1 at 5:43

Ninja hatori

105113

You can follow Real analysis by Stein and Shakarchi. Book gives measure theory description with the use of cubical covering makes it very intuitive.

share|cite|improve this answer

edited Aug 1 at 10:26

Martin Sleziak

43.4k6113259

answered Aug 1 at 5:43

Ninja hatori

105113

share|cite|improve this answer

share|cite|improve this answer

edited Aug 1 at 10:26

Martin Sleziak

43.4k6113259

edited Aug 1 at 10:26

Martin Sleziak

43.4k6113259

edited Aug 1 at 10:26

Martin Sleziak

43.4k6113259

43.4k6113259

answered Aug 1 at 5:43

Ninja hatori

105113

answered Aug 1 at 5:43

Ninja hatori

105113

answered Aug 1 at 5:43

Ninja hatori

105113

105113

• 
  
  
  

  
  

  
  
  
  
  
  

  
  I did consider that book, however some reviews indicated that the book glosses over some minor but important points, making it hard to follow as a beginner. Some also claim there's minor errors. It does seem like a solid book, but I don't know if it's better than No. 1 listed above. I will wait for someone who's read both to give thoughts. Thanks!
  – Hypergeometry
  Aug 1 at 5:47
  

  
  
  
  

add a comment | 

• 
  
  
  

  
  

  
  
  
  
  
  

  
  I did consider that book, however some reviews indicated that the book glosses over some minor but important points, making it hard to follow as a beginner. Some also claim there's minor errors. It does seem like a solid book, but I don't know if it's better than No. 1 listed above. I will wait for someone who's read both to give thoughts. Thanks!
  – Hypergeometry
  Aug 1 at 5:47
  

  
  
  
  

I did consider that book, however some reviews indicated that the book glosses over some minor but important points, making it hard to follow as a beginner. Some also claim there's minor errors. It does seem like a solid book, but I don't know if it's better than No. 1 listed above. I will wait for someone who's read both to give thoughts. Thanks!
– Hypergeometry
Aug 1 at 5:47

I did consider that book, however some reviews indicated that the book glosses over some minor but important points, making it hard to follow as a beginner. Some also claim there's minor errors. It does seem like a solid book, but I don't know if it's better than No. 1 listed above. I will wait for someone who's read both to give thoughts. Thanks!
– Hypergeometry
Aug 1 at 5:47

add a comment | 

 

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