Professor Cassel's Treatise

Cassels Bases

This paper describes several classical constructions of thin bases of finite order in additive number theory, and, in particular, gives a complete presentation of a beautiful construction of J. W. S. Cassels of a class of polynomially asymptotic bases. Some open problems are also discussed. 1. Additive bases of finite order The fundamental object in additive number theory is the sumset. If h ≥ ...

A Treatise

Treatise No. I Treatise No. II Treatise No. III Treatise No. IV Treatise No. V Treatise No. VI Treatise No. VII Treatise No. VIII Treatise No. IX Treatise No. X Treatise No. XI embraces Thuja Occidentalis. embraces Cactus Grandiflorus. embraces Pilocarpus (Jaborandi). embraces Veratrum Viride. embraces Chionanthus Virginica. l embraces Asepsin and Asepsin Soap. embraces Collinsonia Canadensis. ...

The Yoga of the Cassels-tate Pairing

Cassels has described a pairing on the 2-Selmer group of an elliptic curve which shares some properties with the Cassels-Tate pairing. In this article, we prove that the two pairings are the same.

Andy Haines and Andrew Cassels attained ?

A Treatise on Plague

son, m it.c.s.i. London : Swan Sonnenschein & Co., Ld., 1901. Price 7s. Gd. It is somewhat remarkable that, though five years have now passed since the present pandemic of plague first made its appearance at Bombay, no book on the subject lias hitherto appeared based upon Indian experience. Reports written by medical officers, civilians, and even military officers we have had in abundance, but ...