(1) Lehrbuch der Mathematik fr Studierende der Naturwissenschaften und der Technik: Einführung in die Differential- und Integralrechnung und in die analytische Geometrie (2) Die Integralgleichungen und ihre Anwendurigen in der mathematischen Physik (3) Untersuchungen ber Oszillationstheoreme (4) Die partiellen Differentialgleichungen der mathematischen Physik, nach Riemann's Vorlesungen in fnfter Auflage bearbeitet (5) The Dynamical Theory of Sound (6) A Logical Notation for Mathematics (7) Vorlesungen ber Variationsrechnung (8) Die Prinzipien der Mechanik fr eine oder mehrere von den r umlichen Koordinaten und der Zeit abh ngige Variabeln, II (9) Theoretische Mechanik (10) Sur la notion de Courbure, et sur quelques points de Geométrie infinitsimale non euclidienne (11) Proceedings of the London Mathematical Society (12) Bulletin of the Calcutta Mathematical Society (13) Revista de la Sociedad matem tica espaola, 1–5 (Mayo-Diciembre, 1911)

Abstract

ONE of the most important facts which modern mathematicians now realise is that the principles of the differential and integral calculus can be taught to beginners by simple methods involving only a knowledge of the rudiments of algebra, and later on of trigonometry. There are not many teachers still in the dark on these points, though a remarkable exception occurred recently when an anonymous author wrote a book intended to show that certain fools called mathematicians had made the calculus unnecessarily hard, and proved his point, not in the way he probably contemplated, but by establishing the fundamental formulae with a wasteful luxuriance of infinite series and disregard of small quantities which would have formed a more fitting subject for a book entitled “Calculus Made Difficult.” The change has bees marked in England by the appearance of a flood of school calculuses, reminding one of the former flood of school geometries.

(1) Lehrbuch der Mathematik fr Studierende der Naturwissenschaften und der Technik: Einfhrung in die Differential- und Integralrechnung und in die analytische Geometrie.

By Prof. G. Scheffers. Zweite Auflage. Pp. viii + 732. (Leipzig: Veit and Co., 1911.) Price 18 marks.

(2) Die Integralgleichungen und ihre Anwendurigen in der mathematischen Physik.

By Adolf Kneser. Pp. viii + 243. (Braunschweig: Fr. Vieweg und Sohn, 1911.) Price 6 marks.

(3) Untersuchungen ber Oszillationstheoreme.

By Dr. phil. Otto Haupt. Pp. 50. (Leipzig and Berlin: B. G. Teubner, 1911.) Price 2 marks.

(4) Die partiellen Differentialgleichungen der mathematischen Physik, nach Riemann's Vorlesungen in fnfter Auflage bearbeitet.

By Prof. Heinrich Weber. Erster Band. Pp. xviii + 528. Zweiter Band. Pp. xiv + 575. (Braunschweig: F. Vieweg und Sohn, 1910, 1912.) Price 12 and 15 marks.

(5) The Dynamical Theory of Sound.

By Prof. Horace Lamb. Pp. viii + 303. (London: Edward Arnold, 1910.) Price 12s. 6d. net.

(6) A Logical Notation for Mathematics.

By Robert T. A. Innes. Pp. 3. (Cape Town: S.A. Association for the Advancement of Science, 1911.)

(7) Vorlesungen ber Variationsrechnung.

By Prof. Oskar Bolza. In drei Lieferungen. Pp. iv + iv + x + 706 + 10. (Leipzig and Berlin: B. G. Teubner 1908“9.) Price 19 marks.

(8) Die Prinzipien der Mechanik fr eine oder mehrere von den r umlichen Koordinaten und der Zeit abh ngige Variabeln, II.

By Leo Konigsberger. Pp. 24. (Heidelberg: Carl Winter, 1911.)

(9) Theoretische Mechanik.

By Prof. R. Marcolongo. Autorisierte deutsche Bearbeitung. By Prof. H. E. Timerding. Erster Band, Kinematik und Statik. Pp. viii + 346. (Leipzig and Berlin: B. G. Teubner, 1911.) Price 10 marks.

(10) Sur la notion de Courbure, et sur quelques points de Geomtrie infinitsimale non euclidienne.

By C. Cailler (Mmoires de la Socit physique et d'Histoire naturelle de Genve xxxvii, 2.) Pp. 62. (Genve: Georg et Cie., 1911.) Price 5 francs.

(11) Proceedings of the London Mathematical Society.

Second series. Vol. ix. Pp. xvi + 489. (London: Francis Hodgson, 1911.)

(12) Bulletin of the Calcutta Mathematical Society.

Vol. i., No. 3 (October, 1909). Pp. 70. (Calcutta: Mathematical Society, Senate House, Calcutta, 1911.) Price 10 rupees per year.

(13) Revista de la Sociedad matem tica espaola, 1“5 (Mayo-Diciembre, 1911).

Pp. 40“76. (Madrid: Dr. Jos Nungot, Universidad Central, 1911.)