A Primer Of Calculus PDF Download

Excerpt from A Primer of Calculus This Primer has been written to meet the needs of the author, first, for a primary course in the calculus, and secondly, for an outline of topics in a more advanced course that is suitable for combined lecture and text book instruction. The author's method of development is essentially Newton's method of fluxions, as presented by Hamilton in his Elements of Quaternions, Bk. III, ch. II. This method is clear, logical, and scientific, and it deserves more recognition than it has received in general analysis, if for no other reason than that it is the method of the original discoverer of the calculus. Its failure to be adopted is due to want of early publication and defective notation, since it is remarkably perfect and general in principle. The subsequent discoverer, Leibintz, gained the field by publications in a desirable notation, although founded upon inferior infinitessimal principles. Lagrange attempted a modification of the infinitessimal into the idea of a principal part as determined by first terms of expansions, and made the "differential co-efficient" the primary quantity. Modern text books have returned to Newton's method of limits as applied to Lagrange's differential co-efficient; there is here offered a complete return to Newton, with the fluxion or differential as the primary quantity. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.