This textbook by K. Vogtmann deals with the mathematical foundations of classical mechanics. The author constructs the theory step by step, focusing on dynamics and important topics such as oscillation theory, the motion of rigid bodies, and the Hamiltonian formalism. The book stands out for its modern approach based on the geometry of varieties.
Description
The work provides a thorough analysis of classical mechanics from the theory of the geometry of manifolds. The author builds the theoretical framework from the ground up and pays attention to phase spaces, vector fields, and Lie groups. Qualitative methods from dynamical systems are also covered, as well as asymptotic techniques such as perturbation, averaging, and adiabatic invariance.
Product specifications
- Author: K. Vogtmann
- Series: Graduate Texts in Mathematics
- Publisher: Springer-Verlag New York Inc.
- Publication date: 1989-05-16
- Number of pages: 520
- ISBN: 9780387968902
- Subject: Classical mechanics
- BISAC: SCIENCE / Mechanics / General