Table of Content

Preface

Summary Article

• Mathematics--The Science of Patterns and Algorithms

Individual Contributions

• Beyond flatland: the future of space and time，Ronald J. Stern
• Complex stochastic models for perception and inference，David Mumford
• Computations and numerical simulations，Clifford Taubes
• Discrete mathematics for information technology，Fan Chung Graham
• Future challenges in analysis，Ronald Coifman
• Getting inspiration from electrical engineering and computer graphics to develop interesting new mathematics，Ingrid Daubechies
• Mathematical biology: analysis at multiple scales，Nancy Kopell, George Oster and Si Levin  
• Mathematics in materials science，Robert Kohn
• Mathematics in molecular biology and medicine，DeWitt L. Sumners
• Number Theory and its Connections to Geometry and Analysis，Barry Mazur
• Numbers, insights and pictures: using mathematics and computing to understand mathematical models，Margaret H. Wright
• Random matrix theory, quantum physics, and analytic number theory，Andrew Granville
• Research opportunities in nonlinear partial differential equations，Lawrence C. Evans
• Revealing hidden values: inverse problems in science and industry，Joyce R. McLaughlin ans William S. Symes
• Risk assessment for the solutions of partial differential equations，James Glimm
• Statistical issues for databases, the internet, and experimental data，Mary Ellen Bock
• Statistics as the information science，Peter Bickel
• The year 2000 in geometry and topology，Clifford Taubes