The Elements Of The Integral Calculus With Its Applications To Geometry

The Elements of the Integral Calculus; with Its Applications to Geometry, Etc

The Elements of the Integral Calculus

Excerpt from The Elements of the Integral Calculus: With Its Applications to Geometry The work here submitted to the notice of the public form the third volume of a course intended to famish to the mathematical student a pretty comprehensive view of the principles of modern analytical science. To complete this design will require a fourth volume, in some measure plementary to the three now completed, and to contain tlie subject of Finite Differences, a fuller inquiry into the theory of Partial Differential Equations, and a chapter on Definite Integrals. This final volume 1 hope hereafter to be able to prepare, although I do not propose to enter immediately upon the undertaking. With respect to this third volume, I ought to observe that, in Common with all modern elementary writers, I have availed myself pretty freely of the writings of the French mathematicians. In stating this, I am aware that I am not offering any apology for my book; but am, on the contrary, setting forth its principal claim to the notice of the English student; for the superiority of the French in every department of abstract science, is now pretty generally acknowledged in this country. Notwithstanding this admission, however, I have long been persuaded that many of the French processes, now universally adopted in English Books, are very deficient in mathematical rigour, and in not a few cases fail altogether to establish the conclusions aimed at. 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.

The Elements of the Integral Calculus: With Its Applications to Geometry

Reprint of the original, first published in 1839.