Description: This book presents the principles of differential calculus without relying on the concept of infinitesimally small quantities, instead using algebraic analysis of finite quantities. The author sought to free the subject of the metaphysical difficulties inherent in considering quantities as both finite and infinitely small. The book begins by establishing the form of the expansion of a function of a single variable when an arbitrary quantity is substituted for the variable. The author then demonstrates the law of formation and derivation for the different functions arising from the expansion, and presents a method for transforming analytical expressions using these derived functions. The author discusses the application of derived functions to differential equations and the principles of mechanics. They demonstrate the identity of this calculus of functions with the differential calculus proper, and prove the principles and rules of the latter in a manner independent of any hypothesis. The author concludes by showing the application of the presented method to the solution of problems in geometry and mechanics. This book provides a rigorous foundation for differential calculus, making it a valuable resource for students and scholars alike. Forgotten Books publishes hundreds of thousands of rare and classic books.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. This text has been digitally restored from a historical edition. Some aesthetic errors may persist, however it has been deemed that any such will not detract from the work's significant historical value. The digital edition of all books may be viewed on our website before purchase.
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Book Title: Théorie des Fonctions Analytiques (Classic Reprint)
Topic: Mathématiques, Calcul
Genre: Classics
Original Language: French
Country/Region of Manufacture: America
Narrative Type: Nonfiction
Intended Audience: Adults
Personalize: No
Inscribed: No
Ex Libris: No
Personalized: No
Signed: No
Number of Pages: 294
Language: French
Publication Name: Theorie des Fonctions Analytiques : Contenant les Principes du Calcul Differentiel, Degages de Toute Consideration, d'Infiniment Petits Ou d'Evanouissans, de Limites Ou de Fluxions, et Reduits a l'Analyse Algebrique des Quantites Finies
Publisher: Forgotten Books
Item Height: 0.6 in
Publication Year: 2017
Subject: Calculus
Item Weight: 14.1 Oz
Type: Textbook
Subject Area: Mathematics
Author: J. L. Lagrange
Item Length: 9 in
Item Width: 6 in
Format: Trade Paperback
