Preface 1. Baker-Akhiezer Functions and Integrable Systems I.M. Krichever 2. Algebraic Geometry, Integrable Systems, and Seiberg-Witten Theory E. Markman 3. Seiberg-Witten Theory and Integrable Systems E.D'Hoker and D.H. Phong 4. Seiberg-Witten Curves and Integrable Systems A. Marshakov 5. Integrability in Seiberg-Witten Theory A. Morozov 6. WDVV Equations and Seiberg-Witten Theory A. Mironov 7. On Geometry of a Special Class of Solutions to Generalised WDVV Equations A.P. Veselov 8. Picard-Fuchs Equations, Hauptmoduls and Integrable Systems J. Harnad 9. Painleve Type Equations and Hitchin Systems M.A. Olshanetsky 10. World-Sheet Instantons and Virasoro Algebra T. Eguchi 11. Dispersionless Integrable Systems and their Solutions Y. Kodama 12. N-Component Integrable Systems and Geometric Asymptotics M.S. Alber 13. Systems of Hydrodynamic Type from Poisson Commuting Hamiltonians A.P. Fordy 14. Integrability of Equations of Hydrodnamic Type from the End of the 19th to the End of the 20th Century S.P. Tsarev Appendix Index