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People in the department of mathematics are going to study economics to see what books are suitable.
Recommend some books without moisture to you:

Microeconomics:

Microeconomic theory, Mas-Colell, Micro Encyclopedia, abbreviated as MWG, is relatively old and the book is too thick. It is not necessary to read it all. It can be used as a manual if necessary.

Lectures on microeconomic theory, Rubinstein, microeconomic lectures, are relatively thin, personal feelings are more helpful to understanding than Mas-Colell, and asking questions after class exercises IQ haha ~

Macroeconomics:

Recursive macroeconomic theory, Sargent, is a required macro reading, and functional knowledge is not needed. There will be Matlab programs in the book.

Compared with Sargent's book Recursive Methods in Economic Dynamics, Stoke and Lucas pay more attention to the proof of mathematical tools, and their personal feelings are self-evident. Need functionality and so on.

Methods for Applied Macroeconomic Research, or Canova to be exact, is a book about measurement, which is about macro measurement methods. It is recommended to read the macro and time sequence first.

Econometrics:

Economic analysis of cross-section and panel data, Woolridge, a book of micro-metrology, people who are not good at math easily feel dizzy at first. I have read the book five or six times, and every time I read it, I have gained something new.

Econometrics, Hayashi, is also a classic. Woolwich's book is the M estimation framework, and this book is GMM's.

Time series analysis, the encyclopedia of time series "Hamilton" is also used as a manual.

Most of them are harmless economics. Angrist, an economist of applied microeconomics, must read. Mathematics is not difficult, and his views are very new and intuitive.

Game theory:

A course on game theory, Osborne and Rubinstein, comparative theory and notation will drive people crazy.

Game theory of applied economists, Gibbons, simple and classic.

Game theory, Tirole, I haven't read this book,

@ Luo Jinfeng

I add that the name of Tirole is really dazzling!

Finance:

Investment, the classic work of investment, Boddy, although it is difficult for undergraduates and there is not much mathematics, is helpful to understand many concepts of investment.

Option futures and other derivatives, Hull, is also an undergraduate textbook, an introduction to derivatives.

Theory of asset pricing and portfolio selection,

@ Qikasi

Highly recommended.

Asset pricing, Cochrane, I haven't read it, but it is a resounding story.

Dynamic asset pricing theory, Du Fei, I haven't seen it either, but it's a resounding story.

These books are relatively difficult in mathematics and necessary for academic research in economics.

Except for one or two of them, you don't need to know anything simple. All the concepts are introduced in the book, and there is almost no need to define them externally.