This work investigates the mathematical framework of gauge theories through the lens of jet manifolds. It provides foundational concepts of fibered and jet manifolds, detailing first, second, and higher-order structures and connections. The text further explores the Lagrangian and Hamiltonian formalisms on these manifolds, addressing various types of constraints and their implications for theoretical physics.

This monograph is a technical treatment of advanced mathematical physics concepts, likely intended for researchers and graduate students in theoretical physics and mathematics. The detailed exploration of jet manifolds and their application to gauge theories suggests a rigorous and specialized audience. Its focus on foundational mathematical structures for physical theories indicates a contribution to the theoretical underpinnings of areas like gravitation and particle physics.