Abstract
THE practice of holding summer Colloquia, at which courses of lectures on specialised branches of science are given, is worthy of consideration by some learned societies in Great Britain. Seven such summer gatherings have been held by the American Mathematical Society, and the lectures given by Prof. E. T. Bell at a recent one form the basis of the volume before us. The subject matter is intermediate between the modern analytical theory of numbers and the classical arithmetic developed by Gauss and his school. It is mainly concerned with the somewhat abstract arithmetical theories in which a few American mathematicians have found a rich field for investigation during recent years. What is given in the book is but a narrow cross-section of an extensive tract of only partially explored territory. Prof. Bell outlines a few promising directions in which progress may be made towards extending the known results of algebraic arithmetic. Many readers would be illuminated by seeing a few concrete illustrations of the theories to which these investigations lead.
Algebraic Arithmetic.
Prof.
Eric T.
Bell
By. (American Mathematical Society Colloquium Publications, Vol. 7.) Pp. iv + 180. (New York: American Mathematical Society, 1927.) n.p.
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B., W. Algebraic Arithmetic . Nature 122, 93 (1928). https://doi.org/10.1038/122093b0
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DOI: https://doi.org/10.1038/122093b0