Abstract
WE are glad to note that the successive parts now appear with praiseworthy regularity, and the arrival of our number can be predicted to a very close order of approximation. The volume opens with a continuation of Prof. Sylvester's lectures at Oxford on “The Theory of Reciprocants.” The story is resumed with the eleventh and proceeds to the close of the sixteenth lecture. For the cumbrous terminology “projective reciprocants” or “differential invariants” the lecturer now suggests “principiants.” From Lecture xiv. the abstract is devoted to the theory of pure and projective reciprocants,—or rather principiants, and here we are introduced to the existence and properties of the protomorphs of invariants and reciprocants with which Mr. L. J. Rogers, one of the lecturer's audience, has made us elsewhere familiar. For an account of Dr. Story's new method in analytic geometry, we refer our readers to the author's own description. Dr. F. N. Cole gives a full review in Klein's Ikosaeder of what that eminent mathematician has done in his “Vorlesungen über das Ikosaeder und die Auflösung der Gleichungen vom fünften Grade” (1884), and in his “VergleichendeBetrachtungen über neuere geometrische Forschungen” (1872). In Prof. Greenhill's paper on wave-motion in hydrodynamics the writer states that “one of the most important applications of the theory of hydrodynamics is to the question of the motion of waves under gravity and other causes,” and his object is “to collect together the chief results hitherto obtained, and to give also a general connected account of the mathematical theory, at the same time attempting to develop it in some directions.”
American Journal of Mathematics.
Vol. IX. No. 1. (Baltimore, October 1886.)
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American Journal of Mathematics . Nature 35, 99 (1886). https://doi.org/10.1038/035099a0
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DOI: https://doi.org/10.1038/035099a0