Macro/micro economics Textbook for a mathematian

[vadiraja]

Hello. I am a Junior in Highschool who is very interested in mathematics. Most ap macro/microeconomics teach the subject like social studies or english. But I am aware there are more mathematical treatements.

I have done
Thomas calculus and analytic geometry(4th edition. not the watered down later editions)
Mary Boas Mathematical Methods of the Physical Sciences
Strogatz Nonlinear Dynamics and chaos(-nonlinear differential equations focus on bifurcations etc)
Applied Nonlinear Dynamics Nayfeh and Balachandran
Courant and Hilbert methods in mathematical physics

I want a mathematical treatement on macro/microeconomics(it should be very mathematical)

 

[skilgannonau]

I would recommend that you start with microeconomics and then move on to macro stuff.

Starting with the most basic and increasing in sophistication:

Principles of Microeconomics by Greg Mankiw (any edition will do; no need to buy the newest editions) - Standard first year ‘principles’ textbook in micro;

Microeconomic Theory by Walter Nicholson - Typically used in intermediate micro.


Other books I would recommend:

http://www.introecon.com/" by R. Preston McAfee - Haven’t used before but heard it’s the most rigorous ‘principles’ tb around. Has micro+macro and it’s kindly provided by the author free online.

http://www.deirdremccloskey.com/docs/price.pdf" by Deirdre/Donald McCloskey - Out of print but again kindly provided by author for free online. At intermediate level.


A note on mathematics. Calculus is prerequisite for the intermediate books and recommended for the ‘principles’ level books. Real analysis isn’t needed for the books listed above but I would highly recommend having exposure to real analysis at Apostol/Spivak's Calculus level (to begin with and eventually moving on to Rudin’s Principles of Mathematical Analysis) because the mathematical maturity developed at that level will help in a lot areas of mathematics and any discipline that uses mathematics. Nonlinear dynamics isn’t really used in economics except at advanced levels and in esoteric fields i.e. http://en.wikipedia.org/wiki/Complexity_economics" .

If you find once you start that you want to continue your education in economics I recommend learning a bit of game theory.