Abstract
(i)MESSRS. LANE'S “Algebra” looks as if it would prove a useful school-book. In dealing with the binomial and exponential series the authors state certain properties, with the explicit warning that they are not proving them. This is as it should be; but the chapter on exponentials and logarithms is not so clear as it might be; in particular, Arts. 135–7 would be better if arranged in the reverse order. In the earlier pages we have the old fallacious and meaningless statement: “to multiply a number a by a second number b, we do to a what is done to the unit to obtain b.” It would be much better to give the rule of signs as a rule pure and simple, and then to show by cases of (a – b)(c – d) that it does actually work out in practice. There are hundreds of examples—some, alas, of a highly artificial character; for instance, “If the hypotenuse of a right-angled triangle is x, and the other sides are y and z units of length, show that
(1) A School Algebra.
By F. O. Lane J. A. C. Lane. Pp. viii + 333. (London: Edward Arnold, n.d.) Price 3s. 6d.
(2) A Treatise on Hydromechanics.
Part ii. Hydrodynamics. By A. S. Ramsey. Pp. xiii + 360. (London: G. Bell and Sons., Ltd., 1913.)
(3) Les Appareils d'Intégration.
By H. de Morin. Pp. 208. (Paris: Gauthier-Villars, 1913.) Price 5 francs.
(4) Einführung in die höhere Mathematik für Naturforscher und Aerzte.
By Dr. J. Salpeter. Pp. xii + 336. (Jena: Gustav Fischer, 1913.) Price 12 marks.
(5) Elements of the Precision of Measurements and Graphical Methods.
By Prof. H. M. Goodwin. Pp. 104. (London: Hill Publishing Co., Ltd.; New York: McGraw-Hill Book Co., 1913.)
(6) Matrices and Determinoids.
By Prof. C. E. Cullis. Vol. i. Pp. xii + 430. (Cambridge University Press, 1913.) Price 215. 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
M., G. (1) A School Algebra (2) A Treatise on Hydromechanics (3) Les Appareils d'Intégration (4) Einführung in die höhere Mathematik für Naturforscher und Aerzte (5) Elements of the Precision of Measurements and Graphical Methods (6) Matrices and Determinoids. Nature 91, 579–580 (1913). https://doi.org/10.1038/091579a0
Issue Date:
DOI: https://doi.org/10.1038/091579a0