Mathematical Economics discusses the most influential contributions towards this important area of economic science. Many of these papers started new fields of economics, influencing deeply the way economists think about their world. They illustrate the extensive range of topics to which mathematics has been applied productively, and show the areas of mathematics which have proved valuable, including functional analysis, linear algebra, algebraic and differential topology, stochastic processes and dynamical systems. They also show the extent to which today’s policy analysis rests on yesterday’s mathematical economics. Anyone with an interest in economics as a science will find this review to be an indispensable resource.