: Focuses on the Lagrange multiplier method for optimizing functions under constraints and explains the importance of Brouwer's and Kakutani's fixed-point theorems in supply and demand theory.
These papers explore how mathematics became the dominant language of economics and the challenges this shift created. Mathematical Economics
: Critiques "bad" mathematical economics, specifically models that ignore real-world phenomena like economic polarization and instability. Specific Applications : Focuses on the Lagrange multiplier method for
(2025): A more advanced look at how fractional calculus —which handles "non-local" properties—can be applied to financial models and complex economic processes. Historical & Critical Perspectives such as optimization and equilibrium.
These papers cover the core mathematical methods used to structure economic models, such as optimization and equilibrium.