Provides a comprehensive exploration of the main concepts and techniques from the young, exciting field of approximate groups.

Approximate groups have shot to prominence in recent years, driven both by rapid progress in the field itself and by a varied and expanding range of application

This monograph presents some cornerstone results in the study of sofic and hyperlinear groups and the closely related Connes' embedding conjecture. These notion

This collection of survey articles focuses on recent developments at the boundary between geometry, dynamical systems, number theory and combinatorics.

Starting with the basics of Hamiltonian dynamics and canonical transformations, this text follows the historical development of the theory culminating in recent