
Geometry
For 2,000 years geometry meant Euclidean geometry. Then it was found not only that other geometries described physical space equally well but also that geometry was properly the study of all possible spaces

Geometry
For 2,000 years geometry meant Euclidean geometry. Then it was found not only that other geometries described physical space equally well but also that geometry was properly the study of all possible spaces

Books
A new series of mathematical monographs grapples with the problem of exposition

Books - May 1958
A biologist decries some scientific applications of statistical theory

The Straight Line
Euclid's definition of it is worthless, but his axioms remain basically sound. His successors in mathematics have extended his ideas to the curved line and a clearer concept of length

Books
The role in mathematics of "plausible" reasoning, e.g., induction and analogy

Projective Geometry
Renaissance painters created it to represent three-dimensional reality in two dimensions. Their invention finally transcended Euclidean geometry and today forms an integral part of physics