Below are references — notes, books, tutorials, and practice problems — useful in preparing for advanced study in Economics, such as a Master’s or PhD.
On this page:
- Mathematics
- Probability & Statistics
- Microeconomic theory
- Econometrics
- Macroeconomics
- Practice problems
- FAQs & solved problems
- Miscellaneous
Mathematics
Tutorials & lecture notes
- Osborne’s notes — calculus, optimization
- Paul’s notes — calculus
- Kim Border’s notes — calculus, optimization, convex analysis, linear algebra, and more
Online courses
- Convexity — Amit Goyal
Books
- Essential Mathematics for Economic Analysis — Sydsæter, Hammond, Strøm & Carvajal
- Fundamental Methods of Mathematical Economics — Chiang & Wainwright
- Real Analysis: A Long-Form Mathematics Textbook — Jay Cummings
Probability & Statistics
Tutorials & lecture notes
- Kim Border’s notes — probability theory and distributions
Online courses
- Probability — Joe Blitzstein (Harvard Stat 110)
Books
- A First Course in Probability — Sheldon Ross
- Mathematical Statistics with Applications — Freund
Microeconomic theory
Tutorials & lecture notes
- Osborne’s tutorial — theory of the firm and industry equilibrium
- Kim Border’s notes — demand theory, welfare theorems, Robinson Crusoe economies, and more
Online courses
- Game Theory — Stanford
- Demand — Amit Goyal
- General Equilibrium — Amit Goyal
Books
- Books by Rubinstein — game theory and models in microeconomic theory (free download)
Econometrics
Books
- Introductory Econometrics: A Modern Approach — Wooldridge
Macroeconomics
Books
- Macroeconomics — Dornbusch, Fischer & Startz
- Macroeconomic Theory and Policy — Branson
- Macroeconomics — Blanchard
Practice problems
Online sources
- Past year exams — our own collection (ISI, DSE, JNU)
- Brilliant — daily problems on math and probability
Books
- Workouts in Intermediate Microeconomics — Varian & Bergstrom
- Test of Mathematics at 10+2 Level — ISI
FAQs & solved problems
Members of the Econschool team have answered questions and posted worked solutions on forums such as Quora and Stack Exchange:
Miscellaneous
- Resources for Economists (AEA) — a large compilation of online resources for economists
- Tim Roughgarden — lectures on incentives — short videos on algorithmic game theory with applications