Includes bibliographical references.

The problem of classifying automorphic representations of classical groups / James Arthur -- A survey of results relating to Giuga's conjecture on primality / J.M. Borwein and E. Wong -- Solving equations by the decrease principle / F.H. Clarke -- Differential equations for linear shells : comparison between intrinsic and classical models / Michel C. Delfour and Jean-Paul Zolésio -- From K-theory to E-theory / Peter A. Fillmore -- Partial differential equations with differential constraints / Alfred M. Grundland, Luigi Martina and Guy Rideau -- Bispectral operators of rank 1 and dual isomonodromic deformations / J. Harnad -- Metaphor and models in science and art / Philip Holmes -- Some algebraic geometry of integrable systems / J.C. Hurtubise -- My encounters-as a physicist-with mathematics / R. Jackiw -- Quelques points d'histoire des séries de Fourier / Jean-Pierre Kahane -- Exterior differential systems and normal forms of parabolic systems / R.B. Gardner and N. Kamran -- Aspects combinatoires des équations de Bethe / Robert Langlands et Yvan Saint-Aubin -- Metric dimension and statistical estimation / L. Le Cam -- Mordell-Weil problem for cubic surfaces / Yu. I. Manin -- Non-vanishing of L-functions / M. Ram Murty -- Decomposition of tensor products of the fundamental representation of E8 / S. Grimm and J. Patera -- The one-loop graviton scattering amplitude in string theory / D.H. Phong -- Consequences of an Abelian family symmetry / Pierre Ramond -- Natural dualities and clones / B.A. Davey and I. G. Rosenberg -- The early introduction of dynamic programming into computational biology / David Sankoff -- On character generators / N. Hambli and R.T. Sharp -- Quantum transport in solids / Carolyne M. Van Vliet -- Families of transitive primitive maximal simple lie subalgebras of diff[subscript n] / L. Michel and P. Winternitz -- Shape boundary derivative for an elastic membrane / Fabrice Desaint and Jean-Paul Zolésio .

In English, with one contribution in French.