Essential reading for all mathematical physicists as a systematic book on this crucial subject.This is the first systematic introduction to electromagnetic duality and its generalisations. The authors are the leading figures in this exciting new area of mathematical physics, and their lectures have been organised not only to link with each other but also to describe the fundamental ideas, the latest developments, and some earlier work whose significance has only recently become apparent. This will be essential reading for all those working in mathematical physics.This is the first systematic introduction to electromagnetic duality and its generalisations. The authors are the leading figures in this exciting new area of mathematical physics, and their lectures have been organised not only to link with each other but also to describe the fundamental ideas, the latest developments, and some earlier work whose significance has only recently become apparent. This will be essential reading for all those working in mathematical physics.This is the first systematic introduction to electromagnetic duality and its generalizations. The authors, leading figures in this exciting new area of mathematical physics, describe the fundamental ideas, latest developments, and some earlier work whose significance has only recently become apparent. This volume will be essential reading for all those working in mathematical physics.List of contributors; Acknowledgements; 1. Particle physics and fundamental theory: introduction and guide to Duality and supersymmetric Theories David Olive, and Peter West; 2. Solitons N. S. Manton; 3. Nonlinear electromagnetic self-duality and Legendre transformations Mary K. Gaillard and Bruno Zumino; 4. Supersymmetric s-models in 2 dimensions Bruno Zumino; 5. Introduction to duality David I. Olive; 6. Supersymmetric monopoles and duality Jerome P. Gauntlett; 7. Seiberg-Witten theory and S-duality Tohru Eguchi; 8. Supergravity, Brane dynamics and string duallC%