Excerpt from Oeuvres Complètes de N. H. Abel, Mathématicien, Vol. 2: Avec des Notes Et Développements, Rédigées par Ordre du Roi
Le procédé le plus direct serait d'éliminer de ces équations de condition autant de variations qu'il y a d'équations, et les substituer ensuite dans l'équa tion précédente; mais cette élimination étant souvent très pénible ou même im pratiquable, je me servirai de la méthode employée par Lagrange dans le calcul des fonctions. La voici: on multiplie la variation de toute équation de condi tion par une quantité indéterminée, qui est en général une fonction de x, y et z et on ajoute le produit à l'expression sous le signe d'intégration. Soit donc 622: O, ôv'=0, dv 0, etc. Les variations de ces équations de condition et J., etc. Des quantités indéterminées, et l'on aura.
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.
"synopsis" may belong to another edition of this title.
Seller: Forgotten Books, London, United Kingdom
Paperback. Condition: New. Print on Demand. This book delves into the study of integral calculus and differential equations, equipping readers with a comprehensive understanding of these foundational mathematical concepts. The author presents a systematic approach to solving complex problems involving integrals and differential equations, providing clear explanations and detailed solutions. By exploring various techniques, including the use of special functions, the book illuminates the intricate connections between these mathematical tools and their applications in diverse fields. Through its insightful exploration, this book not only strengthens readers' mathematical abilities but also deepens their appreciation for the power and elegance of these essential mathematical concepts. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9780259456681_0
Quantity: Over 20 available
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LX-9780259456681
Quantity: 15 available
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LX-9780259456681
Quantity: 15 available