JSTOR Daily

A Geometric Proof of Hermite’s Theorem in Function Fields

Abstract. An important theorem of C. Hermite asserts that any set of algebraic number fields, whose discriminants are bounded in absolute value, must be finite. Properly formulated, a similar theorem ...
Quanta Magazine

Monumental Proof Settles Geometric Langlands Conjecture

In work that has been 30 years in the making, mathematicians have proved a major part of a profound mathematical vision called the Langlands program. A group of nine mathematicians has proved the ...
JSTOR Daily

A Geometric Proof of the Berger Holonomy Theorem

This is a preview. Log in through your library . Abstract We give a geometric proof of the Berger Holonomy Theorem. The proof uses Euclidean submanifold geometry of orbits and gives a link between ...
Nature

A Sequel to the First Six Books of the Elements of Euclid, containing an Easy Introduction to Modern Geometry, with numerous Examples

THERE are many geometrical results which are not directly formulated or stated in Euclid's Elements, which are yet constantly turning up in the solution of geometrical problems, and it is very ...
Nature

An Elementary Treatise on Pure Geometry, with numerous examples

THE opening sentence of the Preface—“The author has attempted to bring together all the well-known theorems and examples connected with Harmonics, Anharmonics, Involution, Projection (including ...