Pfaffian Systems, k-Symplectic Systems

The book "Pfaffian Systems, k-Symplectic Systems" offers a comprehensive analysis of the theory of foliations and contact forms and their application in mechanics. It highlights significant developments in this field that trace back to the works of Elie Cartan and presents the foundations of an algebraic classification of Pfaffian systems. The authors introduce methods for the reduction of these systems and emphasize the first fundamental invariants. This work serves not only as a reference for theoretical foundations but also as a starting point for future research in this complex and fascinating area. The discussion on completely integrable Pfaffian systems and the associated theorems of Frobenius and Darboux provides valuable insights into the structure and properties of these systems. The book is aimed at professionals and students who wish to engage with the mathematical foundations and applications of Pfaffian systems.