<p>There are too many applications of the concepts and results you mention for a list to be of any use. As a first introduction, look at:</p>

<ul>
<li>Real Analysis with Economic Applications, Efe A. Ok (<a href="https://sites.google.com/a/nyu.edu/efeok/books" rel="nofollow noreferrer">here</a>, <a href="https://rads.stackoverflow.com/amzn/click/com/B005N8T6RM" rel="nofollow noreferrer" rel="nofollow noreferrer">here</a>, and <a href="https://press.princeton.edu/titles/8274.html" rel="nofollow noreferrer">here</a>)</li>
</ul>

<p>There used to be pdfs of (reasonably high quality) working version of the book available online, but they are harder to find now that the book is out (I believe the author put these working versions online as a way to get feedback and typo-reports but removed them since then). If you look hard enough, some of these working version might still live in corners of the internet though.</p>

<p>Also have a look at this related question: <a href="https://economics.stackexchange.com/questions/30110/what-are-some-applications-of-real-analysis-in-graduate-economics">What are some applications of Real Analysis in Graduate Economics?</a></p>

CC BY-SA 4.0
2019-07-10T10:01:34.997Z
2019-07-10T10:14:17.617Z
2019-07-10T10:14:17.617Z
Martin Van der Linden
<p>Is there any application of the Heine-Borel theorem or the Bolzano-Weirstrass theorem to Economics?
Also where are the notions of compact sets and elementary Real Analysis used in Economics?</p>

CC BY-SA 4.0
2019-07-10T10:12:25.410Z
Welcome to Economics SE. Although I provided an answer, I believe your question is too broad for the format of this Q&A website (have a look at https://economics.stackexchange.com/help). Next time, try to ask narrower questions. If needed, divide big questions into many smaller ones.
Martin Van der Linden
CC BY-SA 4.0
2019-07-10T10:13:34.050Z
Also just noticing this question which is very close (if not a duplicate): https://economics.stackexchange.com/questions/30110/what-are-some-applications-of-real-analysis-in-graduate-economics
Martin Van der Linden
CC BY-SA 4.0
2019-07-10T17:10:35.427Z
[Application of B-W theorem in economics](https://en.wikipedia.org/wiki/Bolzano%E2%80%93Weierstrass_theorem#Application_to_economics).
Herr K.
<mathematical-economics>
Real Analysis and Economics
Harper Lee
# Real Analysis and Economics

(Asked by: username_0 on 2019-07-10)

Is there any application of the Heine-Borel theorem or the Bolzano-Weirstrass theorem to Economics?
Also where are the notions of compact sets and elementary Real Analysis used in Economics?

**Tags:** mathematical-economics
> **Comments:**
> **username_1**: Welcome to Economics SE. Although I provided an answer, I believe your question is too broad for the format of this Q&A website (have a look at https://economics.stackexchange.com/help). Next time, try to ask narrower questions. If needed, divide big questions into many smaller ones.  
> **username_1**: Also just noticing this question which is very close (if not a duplicate): https://economics.stackexchange.com/questions/30110/what-are-some-applications-of-real-analysis-in-graduate-economics  
> **username_2**: [Application of B-W theorem in economics](https://en.wikipedia.org/wiki/Bolzano%E2%80%93Weierstrass_theorem#Application_to_economics).  

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## 1 answers

### Answer by username_1 on 2019-07-10. Score: 2

There are too many applications of the concepts and results you mention for a list to be of any use. As a first introduction, look at:

* Real Analysis with Economic Applications, Efe A. Ok ([here](https://sites.google.com/a/nyu.edu/efeok/books), [here](https://rads.stackoverflow.com/amzn/click/com/B005N8T6RM), and [here](https://press.princeton.edu/titles/8274.html))

There used to be pdfs of (reasonably high quality) working version of the book available online, but they are harder to find now that the book is out (I believe the author put these working versions online as a way to get feedback and typo-reports but removed them since then). If you look hard enough, some of these working version might still live in corners of the internet though.

Also have a look at this related question: [What are some applications of Real Analysis in Graduate Economics?](https://economics.stackexchange.com/questions/30110/what-are-some-applications-of-real-analysis-in-graduate-economics)


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