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I'm studying Jordan regions in analysis but because I don't have the text (I couldn't afford the book and can't find the pdf anywhere) I'm having trouble grasping one of the concepts. We learned about Jordan regions, $R$ on $mathbb{R}^{n}$ and how you can split them up with a Grid, $G$. However in my notes the professor briefly mentions partitions of $G$ and didn't elaborate much about it at all. Specifically he wrote that there are integers $v_j in mathbb{N}$ and partitions $P_j = P_j(G) = { x^{j}_{k} | k = 1, ..., v_j}$ of $[a_j,b_j]$ such that $G$ is the collection of rectangles $I_1 times cdots times I_n$ where each $I_j = [x^{j}_{k-1},x^{j}_{k}]$ for some $k = 1, ldots , v_j$.

I would ask the professor directly but he typically doesn't like to explain things that are elaborated in the text has told me as much before. Also I thought it might not be that important until we covered a proof that used partitions in class today and I was honestly too afraid to ask him to explain partitions because of previous chastising for asking those sorts of questions. I have tried to google around for more information on Jordan regions but my google-fu is weak or it's not a popular topic in college maths. Any input is greatly appreciated!

p.s. the text I need but don't have is "An Introduction to Analysis" by Wade 4th edition

analysis

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asked Mar 20 at 19:05

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0

$begingroup$

I'm studying Jordan regions in analysis but because I don't have the text (I couldn't afford the book and can't find the pdf anywhere) I'm having trouble grasping one of the concepts. We learned about Jordan regions, $R$ on $mathbb{R}^{n}$ and how you can split them up with a Grid, $G$. However in my notes the professor briefly mentions partitions of $G$ and didn't elaborate much about it at all. Specifically he wrote that there are integers $v_j in mathbb{N}$ and partitions $P_j = P_j(G) = { x^{j}_{k} | k = 1, ..., v_j}$ of $[a_j,b_j]$ such that $G$ is the collection of rectangles $I_1 times cdots times I_n$ where each $I_j = [x^{j}_{k-1},x^{j}_{k}]$ for some $k = 1, ldots , v_j$.

I would ask the professor directly but he typically doesn't like to explain things that are elaborated in the text has told me as much before. Also I thought it might not be that important until we covered a proof that used partitions in class today and I was honestly too afraid to ask him to explain partitions because of previous chastising for asking those sorts of questions. I have tried to google around for more information on Jordan regions but my google-fu is weak or it's not a popular topic in college maths. Any input is greatly appreciated!

p.s. the text I need but don't have is "An Introduction to Analysis" by Wade 4th edition

analysis

share|cite|improve this question

asked Mar 20 at 19:05

Algebra is AwesomeAlgebra is Awesome

163

$endgroup$

add a comment | 

$begingroup$

I'm studying Jordan regions in analysis but because I don't have the text (I couldn't afford the book and can't find the pdf anywhere) I'm having trouble grasping one of the concepts. We learned about Jordan regions, $R$ on $mathbb{R}^{n}$ and how you can split them up with a Grid, $G$. However in my notes the professor briefly mentions partitions of $G$ and didn't elaborate much about it at all. Specifically he wrote that there are integers $v_j in mathbb{N}$ and partitions $P_j = P_j(G) = { x^{j}_{k} | k = 1, ..., v_j}$ of $[a_j,b_j]$ such that $G$ is the collection of rectangles $I_1 times cdots times I_n$ where each $I_j = [x^{j}_{k-1},x^{j}_{k}]$ for some $k = 1, ldots , v_j$.

I would ask the professor directly but he typically doesn't like to explain things that are elaborated in the text has told me as much before. Also I thought it might not be that important until we covered a proof that used partitions in class today and I was honestly too afraid to ask him to explain partitions because of previous chastising for asking those sorts of questions. I have tried to google around for more information on Jordan regions but my google-fu is weak or it's not a popular topic in college maths. Any input is greatly appreciated!

p.s. the text I need but don't have is "An Introduction to Analysis" by Wade 4th edition

analysis

share|cite|improve this question

asked Mar 20 at 19:05

Algebra is AwesomeAlgebra is Awesome

163

$endgroup$

share|cite|improve this question

asked Mar 20 at 19:05

Algebra is AwesomeAlgebra is Awesome

163

share|cite|improve this question

asked Mar 20 at 19:05

Algebra is AwesomeAlgebra is Awesome

163

asked Mar 20 at 19:05

Algebra is AwesomeAlgebra is Awesome

163

asked Mar 20 at 19:05

Algebra is AwesomeAlgebra is Awesome

163