Horatio Scott Carslaw

An Introduction to the Infinitesimal Calculus: Notes for the Use of Science and Engineering Students Horatio Scott Carslaw

These introductory chapters in the Infinitesimal Calculus were lithographed and issued to the students of the First Year inS cience andE ngineering of the University of Sydney at the beginning of last session. They form an outline of, and were meant to be used in conjunction with, the course on The ElemerU sof Analytical Geometry and the Infinitesimal Calculus, which leads up to a terms work onE lementary Dynamics. The standard text-books amply suffice for the detailed study of this subject in the second year, but the absence of any discussion of the elements and first principles suitable for the first year work, was found to be a serious hindrance to the work of the class. For such students a separate course on Analytical Geometry, without the aid of the Calculus, is not necessary, and the exclusion of the methods of the Calculus from the analjrtical study of the Conic Sections is quite opposed to the present unanimous opinion on the education of the engineer. It has been our object to present the fundamental ideas of the Calculus in a simple manner and to illustrate them by practical examples, and thus to enable these students to use its methods intelligently and readily in their Geometrical, Dynamical, and Physical work early in their University course. This little book is not meant to take the place of the standard treatises on the subject, and, for that reason, no attempt is made to do more than give the lines of the proof of some of the later theorems.
(Typographical errors above are due to OCR software and don't occur in the book.)

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