Calculus of Variations on Fibred Manifolds and Variational Physics 1st Edition By Jana Musilová, Pavla Musilová, Olga Rossi
Calculus of Variations on Fibred Manifolds and Variational Physics by Jana Musilová, Pavla Musilová, and Olga Rossi is a 2025 Springer publication (Lecture Notes in Physics #1033) that offers a modern, geometric approach to variational calculus in physics, using fibred spaces and jet prolongations for Lagrangian/Hamiltonian mechanics and field theory, aimed at advanced students and researchers with physics/math backgrounds. The book covers foundational structures, inverse problems, and includes examples and exercises, providing a systematic explanation of variational principles in physics. Key Aspects:
- Authors: Jana Musilová, Pavla Musilová, Olga Rossi (deceased, but a key contributor).
- Publisher: Springer.
- Publication Date: February 26, 2025.
- Series: Part of the Lecture Notes in Physics series (Volume 1033).
- Content: Explores variational calculus, mechanics, field theory, fibred manifolds, jet prolongations, Lagrangian/Hamiltonian formalisms, and the inverse problem, with applications in physics.
- Target Audience: PhD students, postdocs, researchers in mathematical physics, requiring prior knowledge in advanced math and physics.
This book serves as a comprehensive guide to applying advanced differential geometry to fundamental physics problems.