Abstract
(1)THIS is a systematic text-book on the elements of the theory of numbers, intended for beginners. The greater part of it deals with the usual elementary topics: divisibility, the H.C.F. process, congruences, and binary quadratic forms (but without the classical theory of reduction and equivalence). The proofs of the theorems are given in full and ample detail, and there are frequent numerical illustrations, and sets of examples for solution by the student. Most of these are quite straightforward, but there are several which strike one as distinctly difficult in relation to the text.
(1) Elementary Number Theory
By Prof. J. V. Uspensky Prof. M. A. Heaslet. Pp. x + 484. (New York and London: McGraw-Hill Book Co., Inc., 1939.) 26s.
(2) Modern Elementary Theory of Numbers
By Prof. Leonard Eugene Dickson. Pp. vii + 309. (Chicago: University of Chicago Press; London: Cambridge University Press, 1939.) 18s. net.
This is a preview of subscription content, access via your institution
Access options
Subscribe to this journal
Receive 51 print issues and online access
$199.00 per year
only $3.90 per issue
Buy this article
- Purchase on Springer Link
- Instant access to full article PDF
Prices may be subject to local taxes which are calculated during checkout
Rights and permissions
About this article
Cite this article
DAVENPORT, H. Theory of Numbers. Nature 146, 418–419 (1940). https://doi.org/10.1038/146418a0
Issue Date:
DOI: https://doi.org/10.1038/146418a0