<p>For microeconomics with a proper mathematical formalisation, you will want a graduate textbook. The standard book is <em><a href="http://ukcatalogue.oup.com/product/9780195102680.do">Microeconomic Theory</a></em> by Mas Colell, Whinston, and Green.</p>

CC BY-SA 3.0
2015-03-27T22:00:32.297Z
Thanks. Any recommendation for macroeconomics at graduate level with proper mathematical foundation?
Taxxi
CC BY-SA 3.0
2015-03-27T23:20:37.943Z
Macro seems to be a lot less unified than micro so I guess you will need several books. Books that come to mind are "Monetary Theory and Policy" by Walsh, "Advanced Macroeconomics" by romer, "Recursive Macroeconomic Theory" by Ljungqvist and Sargent, and "Recursive Methods in Economic Dynamics " by Stokey et al. But get a second oppinion from a real macroeconomist .
Ubiquitous
CC BY-SA 3.0
2015-03-27T23:52:02.580Z
Thanks, that was really helpful. I'll just wait for some additional replies and accept your answer if no better recommendation comes up.
Taxxi
CC BY-SA 3.0
2015-03-28T08:38:45.137Z
Neither Romer nor Ljungqvist and Sargent come close to being rigorous in mathematics. Good macro textbooks though.
Michael
CC BY-SA 3.0
2015-03-27T21:55:25.793Z
2015-03-27T21:55:25.793Z
Ubiquitous
<p>I would like strongly recommend David Kreps' latest textbook, <a href="http://rads.stackoverflow.com/amzn/click/0691155836">Microeconomic Foundations I: Choice and Competitive Markets </a>.</p>

<p>It contains true virtuosity and is very inspiring.</p>

<p>Take utility representation theorem as an example. Kreps forsake the assumption in MWG of taking $\mathbb R^n$ as the underlying space so that readers won't be left with the false impression that this theorem is of limited interest.</p>

<p>I also $\heartsuit$ the presentation of GE as a generalized NE which helps developing connections between different areas.</p>

CC BY-SA 3.0
2015-03-28T22:51:49.623Z
2015-03-28T22:51:49.623Z
Metta World Peace
<p>For economics, both micro and macro, written in mathematics as mathematicians would know it, try the <a href="http://www.sciencedirect.com/science/handbooks/15734382" rel="noreferrer"><em>Handbook of Mathematical Economics</em></a> series, 4 volumes in total. </p>

<p>See for example, <a href="http://www.sciencedirect.com/science/article/pii/S1573438205800098" rel="noreferrer">this very nice article by Mas-Colell and Zame in volume 4</a> on general equilibrium. (<em>Microeconomics</em>, for example, by Mas-Colell-Whinston-Green falls far below this standard of rigor.)</p>

CC BY-SA 3.0
2015-03-28T11:43:39.473Z
Thanks for the suggestion. I think I have to read the Mas-Colell-Whinston-Green first and then read the handbook; it seems to be rather specific in certain fields.
Taxxi
CC BY-SA 3.0
2015-03-28T12:15:35.593Z
Yeah, I don't claim the Handbook series should serve as introductions. MWG doesn't use more than calculus but it's an excellent intro to micro.
Michael
CC BY-SA 3.0
2015-05-30T20:21:54.323Z
I'm familiar with both MWG and the Mas-Colell/Zame-article. Where do the standards of rigor (and not just the mathematical sophistication) differ?
Michael Greinecker
CC BY-SA 3.0
2015-03-28T09:27:26.537Z
2015-03-28T09:27:26.537Z
Michael
<p>I think it depends on what exactly you want to focus on within Macroeconomics and Microeconomics. </p>

<p>For Microeconomics, THE book is Microeconomic Theory by Mas-Colell, Whinston and Green
For Macroeconomics, Advanced Macroeconomics by David Romer is the book </p>

<p>In my opinion, both books cover the most important issues in each branch of Economics, and the development authors give is mathematically grounded. But again I would say it depends on what you want to focus on.</p>

CC BY-SA 4.0
2019-04-19T05:22:31.230Z
2019-04-19T05:22:31.230Z
Alex Ruiz
<p>Given what you said about mathematics, I would recommend <a href="http://cowles.yale.edu/sites/default/files/files/pub/mon/m17-all.pdf" rel="nofollow noreferrer">Theory of Value</a> by Gerard Debreu. This book is probably more than what you need, but it defines almost everything clearly. Debreu writes in the famous Bourbaki style so mathematics is rigorous enough. </p>

<p>For macro it is hard to get everything in the same book. There are books very rigorous, but they generally covers techniques that are essential to do research. </p>

CC BY-SA 3.0
2017-06-05T09:23:39.130Z
2017-06-21T11:59:37.960Z
2017-06-21T11:59:37.960Z
user64066
<p><a href="https://rads.stackoverflow.com/amzn/click/com/1137610662" rel="nofollow noreferrer" rel="nofollow noreferrer" title="Macroeconomics">Macroeconomics</a> by William Mitchell, L Randall Wray, and Martin Watts. Macroeconomics through an Modern Monetary Theory (MMT) lens.</p>

CC BY-SA 4.0
2019-10-24T23:21:56.690Z
seconded, and would note that the authors claim that this is the first macroeconomics text book done correctly in terms of stock and flow and reps left for mathematical identities. explodes many myths currently being taught as gospel in mainstream economics courses around the globe today.
wide_eyed_pupil
CC BY-SA 4.0
2019-05-11T12:19:43.640Z
2019-05-11T12:19:43.640Z
aliteralmind
<p>You should also try <a href="https://rads.stackoverflow.com/amzn/click/com/0273731912" rel="nofollow noreferrer" rel="nofollow noreferrer">Advanced Microeconomic Theory (3rd Edition)</a> by (Jehle, Reny, 2011).
Note that, imho, Mas-colell-Whinston-Green (1995!) is the best choice for those with initial background in Math switching to Economics. When it comes to Economics majors the former seems to be more appropriate (and more modern).
For modern Macro with strong math see <a href="https://rads.stackoverflow.com/amzn/click/com/0691132925" rel="nofollow noreferrer" rel="nofollow noreferrer">Introduction to Modern Economic Growth</a> (Acemoglu, 2009).
To integrate the micro/macro problems with econometrics and math see <a href="http://press.princeton.edu/titles/8903.html" rel="nofollow noreferrer">Economic Modeling and Inference</a> (Christensen &amp; Kiefer, 2009). Hope, that helps.</p>

CC BY-SA 4.0
2015-03-28T08:53:35.460Z
2020-02-17T11:19:11.040Z
2020-02-17T11:19:11.040Z
garej
<p>I was formerly an economics major and now also majoring in mathematics.
I want a textbook that is rigorously based on mathematics; not just using mathematics whenever the author wants, but in a more unified way to explain a concept.
I've learned enough mathematics in undergraduate level so mathematics will hardly be a problem. 
I've searched for information, but I really wanted textbooks that satisfy this specific condition; explaining concepts with sound mathematics in a unified way.</p>

<p>Any help is welcome.</p>

<macroeconomics><microeconomics><reference-request>
Mathematical Micro/Macro Economics Textbook Recommendation
Taxxi
# Mathematical Micro/Macro Economics Textbook Recommendation

(Asked by: username_0 on 2015-03-27)

I was formerly an economics major and now also majoring in mathematics.
I want a textbook that is rigorously based on mathematics; not just using mathematics whenever the author wants, but in a more unified way to explain a concept.
I've learned enough mathematics in undergraduate level so mathematics will hardly be a problem.
I've searched for information, but I really wanted textbooks that satisfy this specific condition; explaining concepts with sound mathematics in a unified way.

Any help is welcome.

**Tags:** macroeconomics, microeconomics, reference-request


---

## 7 answers

### Answer by username_9 on 2015-03-28. Score: 11 | Accepted answer

You should also try [Advanced Microeconomic Theory (3rd Edition)](https://rads.stackoverflow.com/amzn/click/com/0273731912) by (Jehle, Reny, 2011).
Note that, imho, Mas-colell-Whinston-Green (1995!) is the best choice for those with initial background in Math switching to Economics. When it comes to Economics majors the former seems to be more appropriate (and more modern).
For modern Macro with strong math see [Introduction to Modern Economic Growth](https://rads.stackoverflow.com/amzn/click/com/0691132925) (Acemoglu, 2009).
To integrate the micro/macro problems with econometrics and math see [Economic Modeling and Inference](http://press.princeton.edu/titles/8903.html) (Christensen & Kiefer, 2009). Hope, that helps.


---

### Answer by username_1 on 2015-03-27. Score: 9

For microeconomics with a proper mathematical formalisation, you will want a graduate textbook. The standard book is *[Microeconomic Theory](http://ukcatalogue.oup.com/product/9780195102680.do)* by Mas Colell, Whinston, and Green.

> **Comments:**
> **username_0**: Thanks. Any recommendation for macroeconomics at graduate level with proper mathematical foundation?  
> **username_1**: Macro seems to be a lot less unified than micro so I guess you will need several books. Books that come to mind are "Monetary Theory and Policy" by Walsh, "Advanced Macroeconomics" by romer, "Recursive Macroeconomic Theory" by Ljungqvist and Sargent, and "Recursive Methods in Economic Dynamics " by Stokey et al. But get a second oppinion from a real macroeconomist .  
> **username_0**: Thanks, that was really helpful. I'll just wait for some additional replies and accept your answer if no better recommendation comes up.  
> **username_2**: Neither Romer nor Ljungqvist and Sargent come close to being rigorous in mathematics. Good macro textbooks though.  

---

### Answer by username_3 on 2015-03-28. Score: 7

I would like strongly recommend David Kreps' latest textbook, [Microeconomic Foundations I: Choice and Competitive Markets](http://rads.stackoverflow.com/amzn/click/0691155836) .

It contains true virtuosity and is very inspiring.

Take utility representation theorem as an example. Kreps forsake the assumption in MWG of taking $\mathbb R^n$ as the underlying space so that readers won't be left with the false impression that this theorem is of limited interest.

I also $\heartsuit$ the presentation of GE as a generalized NE which helps developing connections between different areas.


---

### Answer by username_2 on 2015-03-28. Score: 5

For economics, both micro and macro, written in mathematics as mathematicians would know it, try the [*Handbook of Mathematical Economics*](http://www.sciencedirect.com/science/handbooks/15734382) series, 4 volumes in total.

See for example, [this very nice article by Mas-Colell and Zame in volume 4](http://www.sciencedirect.com/science/article/pii/S1573438205800098) on general equilibrium. (*Microeconomics*, for example, by Mas-Colell-Whinston-Green falls far below this standard of rigor.)

> **Comments:**
> **username_0**: Thanks for the suggestion. I think I have to read the Mas-Colell-Whinston-Green first and then read the handbook; it seems to be rather specific in certain fields.  
> **username_2**: Yeah, I don't claim the Handbook series should serve as introductions. MWG doesn't use more than calculus but it's an excellent intro to micro.  
> **username_4**: I'm familiar with both MWG and the Mas-Colell/Zame-article. Where do the standards of rigor (and not just the mathematical sophistication) differ?  

---

### Answer by username_5 on 2019-04-19. Score: 2

I think it depends on what exactly you want to focus on within Macroeconomics and Microeconomics.

For Microeconomics, THE book is Microeconomic Theory by Mas-Colell, Whinston and Green
For Macroeconomics, Advanced Macroeconomics by David Romer is the book

In my opinion, both books cover the most important issues in each branch of Economics, and the development authors give is mathematically grounded. But again I would say it depends on what you want to focus on.


---

### Answer by username_6 on 2017-06-05. Score: 2

Given what you said about mathematics, I would recommend [Theory of Value](http://cowles.yale.edu/sites/default/files/files/pub/mon/m17-all.pdf) by Gerard Debreu. This book is probably more than what you need, but it defines almost everything clearly. Debreu writes in the famous Bourbaki style so mathematics is rigorous enough.

For macro it is hard to get everything in the same book. There are books very rigorous, but they generally covers techniques that are essential to do research.


---

### Answer by username_7 on 2019-05-11. Score: 1

[Macroeconomics](https://rads.stackoverflow.com/amzn/click/com/1137610662 "Macroeconomics") by William Mitchell, L Randall Wray, and Martin Watts. Macroeconomics through an Modern Monetary Theory (MMT) lens.

> **Comments:**
> **username_8**: seconded, and would note that the authors claim that this is the first macroeconomics text book done correctly in terms of stock and flow and reps left for mathematical identities. explodes many myths currently being taught as gospel in mainstream economics courses around the globe today.  

---

