<p>Henri Poincaré's "The New Mechanics" offers a groundbreaking examination of the principles underlying classical mechanics, incorporating a rich tapestry of mathematical rigor and philosophical inquiry. Written during the transition from 19th to 20th century physics, the book illustrates Poincaré's efforts to reconcile the intricacies of dynamical systems with emerging concepts of relativity and chaos. His unique literary style, blending clear ...