Geometry from Dynamics, Classical and Quantum

“This impressive book takes the reader onto a long journey through the topological and geometrical settings behind the main topics of classical and quantum mechanics. … The book is completely self-contained, besides from references to the original literature (every chapter finishes with a reference list), for all of the presented results also the proofs are given. … Reading this book provides an excellent opportunity to practice and understand the geometric mechanics.” (Mircea Crâşmăreanu, zbMATH 1364.81001, 2017)

“It is offered for a comprehensive exposition of the use of geometrical tools in the study of both classical and quantum systems. It would be very useful to a motivated student or a researcher wishing to adopt the geometrical framework in his/her work. Each chapter contains an extensive bibliography, old and current, doing justice to the various possible directions of study.” (Demetris P. K. Ghikas, Mathematical Reviews, October, 2015)