Vorlesungen über Differential- und Integralrechnung

THE book is based on a series of lectures on infinitesimal calculus given regularly for more than seventeen years in the University of Basle. This the first volume, contains a course intended for those whose main interest is in the applications of the calculus, and to this end it is freed as far as possible from what such students might reasonably regard as ‘unnecessary subtleties’. Also the proofs of certain theorems, when too lengthy, are deferred to the second volume. Nevertheless, the course is full, clear, and sound in its foundations. Vorlesungen uber Differential- und Integralrechnung Von Prof. A. Ostrowski. Band 1: Funktionen einer Variablen. (Lehrbucher und Monographien aus dem Gebiete der exakten Wissenschaften, 8.) Pp. xii + 373. (Basel: Verlag Birkhauser 1945.) 47.50 Swiss francs.