This book presents a unique approach to non-perturbative Quantum Many Body Physics. Instead of focusing on the standard approaches, it builds our understanding of these systems by using methods that traditionally pertain to few-body physics, allowing for strong interactions to be tackled from a solid and well-understood foundation. The covered topics range from exactly solvable models, which are known to require only two-particle input, and Bose-Fermi mappings, which are fully non-perturbative, to the physics of few-body systems embedded in many-body media. The book is intended as a detailed advanced tutorial for young and experienced researchers that want to delve deeper into this exciting field.

Key Features:

• Many worked examples of representative quantum systems, together with their physical interpretations and the main consequences of their solutions.
• Set of problems at the end of each chapter, not meant to complement the theory, but to give the reader dexterity in using the chapter's methodologies.
• Timely discussion of a recently developed, and very active field summarised as "From Few- to Many-Body Quantum Physics of Strongly Interacting Particles", and the physics of interacting quantum systems in inhomogeneous media.
• First, coherent, detailed monograph on the theory and methods of the field.
• Presents a rigorous account of the modern approaches to low-energy collisions and their use in few- and many-body physics, which have not appeared in book format.
• The book is relevant to a wide range of researchers and advanced students, from atomic and condensed matter physics, to photonics and nuclear physics.
• Written by pioneers and true experts in the field