Abstract
THE general outlines and the methods employed by the author will be familiar to readers who have seen the first volume. He has made a study of standard works and papers by Bachmann, Hensel, Hubert, Hurwitz, Minkowski, Weber and others, and presented an encyclopdic account of their subject matter, the production of which must have entailed considerable effort. The present volume deals with the general theory of algebraic numbers and includes many topics, for example, the Dedekind theory of ideals, the Kronecker theory of forms, the theory of units, of the number of ideal classes, Minkowski's geometry of numbers, relative fields, the Galois theory and Hensel's padic numbers. It will make a useful compendium and will prove convenient for readers who wish to consult it upon different topics.
Foundations of the Theory of Algebraic Numbers.
By Prof. Harris Hancock. Vol. 2: The General Theory. (Published with the Aid of the Charles Phelps Taft Memorial Fund, University of Cincinnati.) Pp. xxvi + 654. (New York: The Macmillan Co., 1932.) 8 dollars.
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MORDELL, L. Foundations of the Theory of Algebraic Numbers. Nature 132, 427–428 (1933). https://doi.org/10.1038/132427b0
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DOI: https://doi.org/10.1038/132427b0
