(1) For linear algebra: Linear Algebra Done Right 4h edition (Sheldon Axler, 2025), Linear Algebra 2nd Edition (Kenneth M Hoffman and Ray Kunze, 1971).
(2) For applied linear algebra: Linear Algebra for Economists (Aleskerov et al., 2011), Mathematics for Economists (Carl P. Simon and Lawrence E. Blume, 1987)
(3) For topology in Rn: Mathematics for Economists (Carl P. Simon and Lawrence E. Blume, 1987), Analysis II fouth edition (Terence Tao, 2022).
(4) For convex analysis: Finite Dimensional Convexity and Optimization (Monique Florenzano, 2001), Matemáticas para el análisis económico (Uldarico Malaspina, 1994).
(5) For convex, concave functions: A first course in optimization (Raghu Sundaram, 1996), Mathematics for Economists (Carl P. Simon and Lawrence E. Blume, 1987).
(6) For static optimization: A first course in optimization (Raghu Sundaram, 1996), Mathematical Methods and Models for Economists (Angel de la Fuente, 2000), Mathematics for Economists (Carl P. Simon and Lawrence E. Blume, 1987).
(7) For consumer and prooducer theory: Microeconomic Theory (Mas-Colell et al., 1995), Microeconomic Foundations I (Kreps, 2013), Microeconomic Analysis (Varian, 1992).
(8) For general equilibrium: Microeconomic Theory (Mas-Colell et al., 1995), Existence and Optimality of Competitive Equilibria (Aliprantis et al., 1990).
(9) For game theory: A Course in Game Theory (Osborne and Rubinstein, 1994), Game Theory for Applied Economists (Robert Gibbons, 1992), Game Theory: Analysis of Conflict (Roger Myerson, 1991).
(11) For advanced studies: Real Analysis with Economic Applications (Efe A. Ok, 2007), Mathematical Economics (Kevin Lancaster, 1968), Optimal Transport Methods in Economics (Algred Galichon, 2016), Optimization by Vector Spaces Methods (David G. Luenberger, 1969), Convex Optimization (Stephen Boyd, 2004).
(14) For numerical optimization (not required for the course): Numerical Optimization (Nocedal and Wrigth, 2006), Optimization, Volume 2: Computational Methods (Izmailov and Solodov, 2007).