zekiakyol / proof-based-math-readings

📕 Proof-Based Math Readings is a free and independent online reading group where we study mathematics required in economics master's/PhD programs using an intuitive approach.

Proof-Based Math Readings

• Proof-Based Math Readings is a free and independent online reading group where we study mathematics required in economics master's/PhD programs using an intuitive approach.
• Our reading group has 27 members for now and accepts new members.
• Please use the 📄 Application Google Form to join the reading group.
• Applicants will be informed about their application results within a week via email.

Syllabuses

📅 Term	📜 Syllabus	📕 Book	⌛ Duration
2025 Summer	Measure Theory	Measure, Integration & Real Analysis - Sheldon Axler (2023)	12 Weeks
2025 Spring	Optimization	A First Course in Optimization Theory - Rangarajan K. Sundaram (1996)	12 Weeks
2024 Winter	Bayesian Statistics	Bayesian Econometrics - Gary Koop (2003)	12 Weeks
2024 Fall	Measure Theoretic Probability	A First Look at Rigorous Probability Theory - Jeffrey S. Rosenthal (2nd Edition, 2006)	12 Weeks
2024 Summer	Large Sample Theory	Elements of Large-Sample Theory - E. L. Lehmann (1999)	12 Weeks
2024 Summer	Statistics	Statistical Inference - George Casella, Roger Berger (2nd Edition, 2024)	12 Weeks
2024 Spring	Linear Algebra	Linear Algebra Done Right - Sheldon Axler (4th Edition, 2024)	12 Weeks
2023 Winter	Topology	Topology - James Munkres (2nd Edition, 2014)	12 Weeks
2023 Fall	Matrix Algebra	Matrix Algebra - Karim M. Abadir, Jan R. Magnus (2005)	12 Weeks
2023 Summer	Real Analysis	Basic Analysis I - Jiri Lebl (Version 6.0, 2023)	12 Weeks
2023 Summer	Proof Techniques	Book of Proof - Richard Hammack (3.3 Edition, 2022)	6 Weeks

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Licenses

• Figures are licensed under Creative Commons CC BY-NC-SA 4.0.
• Codes are licensed under MIT License.

proof-based-math-readings's Issues

add measure theoretic probability syllabus

add measure theoretic probability syllabus using 📕 A First Look at Rigorous Probability Theory - Jeffrey S. Rosenthal (2nd Edition, 2006).

add topology syllabus

add topology syllabus using 📕 General Topology - Seymour Lipschutz (2011)

add graph theory syllabus

add graph theory syllabus using 📕 A First Course in Graph Theory - Gary Chartrand, Ping Zhang (2012)

add bayesian statistics syllabus

add bayesian statistics syllabus using one of the following books.

• 📕 Bayesian Econometrics - Gary Koop (2003)
• 📕 Bayesian Econometric Methods - Joshua Chan, Gary Koop, Dale J. Poirier, Justin L. Tobias (2nd Edition, 2019)

add measure theory syllabus

add measure theory syllabus using 📕 Measure, Integration & Real Analysis - Sheldon Axler (2023)

add optimization syllabus

add optimization syllabus using 📕 A First Course in Optimization Theory - Rangarajan K. Sundaram (1996, 20th Print 2011).

add numerical linear algebra syllabus

Add numerical linear algebra syllabus using one of the following books.

• 📕 Numerical Linear Algebra - Lloyd N. Trefethen, David Bau III (25th Anniversary Edition, 2022)
• 📕 Matrix Computations - Gene H. Golub, Charles F. Van Loan (4th Edition, 2013)

add large sample theory syllabus

add large sample theory syllabus using one of the following books.

• 📕 Asymptotic Theory for Econometricians - Halbert White (Revised Edition, 2000)
• 📕 Elements of Large-Sample Theory - E. L. Lehmann (1999)

add statistics syllabus

add statistics syllabus using 📕 Statistical Inference - George Casella, Roger L. Berger (2nd Edition, 2001)