Action-minimizing Methods in Hamiltonian Dynamics

Discover the groundbreaking insights of John Mather in "Action-minimizing Methods in Hamiltonian Dynamics," authored by Alfonso Sorrentino and published by Princeton University Press in 2015. This essential paperback, spanning 128 pages, delves into the intricate balance between stable and unstable motions within classical mechanics. Mather's innovative Aubry-Mather theory is at the core of this work, highlighting the existence of special orbits and invariant measures that are pivotal to understanding Hamiltonian systems. This book is a must-read for anyone interested in the dynamics of classical mechanics and the mathematical frameworks that govern them. Enhance your knowledge and appreciation of Hamiltonian dynamics with this significant contribution to the field.