In many different fields of mathematics and physics Poincaré found many uses for the idea of a group, but not for group theory. He used the idea in his work on automorphic functions, in number… (More)

Themodern view of geometry was inspired by the novel geometrical theories of hilbert [VI.63] and Einstein in the early years of the twentieth century, which built in their turn on other radical… (More)

Among snakes four main types of terrestrial progression have been described: (i) serpentine movement which is observable in all, or nearly all, genera; (ii) concertina movement as briefly described… (More)

theory for them, and they now turned to recap their earlier study of differential equations, upon which they went on to base their theory of elliptic functions. Not only did this free the theory of… (More)

For some years now, the history of modern mathematics and the history of modern science have developed independently. A step toward a reunification that would benefit both disciplines could come… (More)

The demonstration of the existence of a least-area surface spanning a given contour has a long history. Through the soap-film experiments of Plateau, this existence problem became known as the… (More)