Classical Mechanics: From Particles to Continua and Regularity to Chaos: 22 (Texts and Readings in Physical Sciences, 22)

This well-rounded and self-contained treatment of classical mechanics strikes a balance between examples, concepts, phenomena and formalism.While addressed to graduate students and their teachers, the minimal prerequisites and ground covered should make it useful also to undergraduates and researchers.Starting with conceptual context, physical principles guide the development.Chapters are modular and the presentation is precise yet accessible, with numerous remarks, footnotes and problems enriching the learning experience.Essentials such as Galilean and Newtonian mechanics, the Kepler problem, Lagrangian and Hamiltonian mechanics, oscillations, rigid bodies and motion in noninertial frames lead up to discussions of canonical transformations, angle-action variables, Hamilton-Jacobi and linear stability theory.Bifurcations, nonlinear and chaotic dynamics as well as the wave, heat and fluid equations receive substantial coverage.Techniques from linear algebra, differential equations, mani