Exterior Differential Calculus and Applications to Economic Theory

The book presents a series of lectures delivered at the Scuola Normale Superiore, focusing on making complex economic problems and the mathematical theory of exterior differential systems more accessible. It aims to bridge the gap between mathematicians and economic theory, providing a thorough exploration of the subject at a more relaxed pace. The author recognizes that many mathematicians may not be familiar with economic concepts or the works of Elie Cartan, and seeks to clarify these topics for a broader audience.