Abstract
IN this new edition of a well-known and popular treatise the principal change is the addition of a chapter on the theory of substitutions and groups. Following the methods of Serret, Jordan and Netto, the authors give just so much of the elementary theory of substitution-groups as to enable them to prove the fundamental property of the Galoisian resolvent of an equation, and to demonstrate that the general equation of any degree higher than the fourth cannot be solved by an algebraic formula. It is strange that no reference is given to the work of Kronecker and others on equations which do admit of algebraic solution.
The Theory of Equations: with an Introduction to the Theory of Binary Algebraic Forms.
By W. S. Burnside A. W. Panton Fourth edition. 2 vols. Pp. xiv + 286 and xii + 292. (Dublin: Hodges, Figgis and Co., Ltd.; London: Longmans, Green and Co., 1899, 1901.)
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The Theory of Equations: with an Introduction to the Theory of Binary Algebraic Forms . Nature 65, 390 (1902). https://doi.org/10.1038/065390a0
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DOI: https://doi.org/10.1038/065390a0