Excerpt from Oeuvres de Lagrange, Vol. 7
Enfin le dernier paragraphe renferme des recherches sur les fonctions qui ont la propriété que le produit de deux ou de plusieurs fonctions semblables est aussi une fonction semblable; j'y donne une méthode générale pour trouver ces sortes de fonctions, et j'en fais voir l'usage pour la résolution de différents Problèmes indéterminés, sur lesquels les méthodes connues n'auraient aucune prise.
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Paperback. Zustand: New. Print on Demand. This book is a presentation of advanced indeterminate analysis, a branch of algebra that was largely abandoned in the 19th century but has recently seen renewed interest. The indeterminate methods described in this book were invented by Leonhard Euler and are used to find integer solutions to indeterminate equations. The author provides many applications of indeterminate analysis to number theory, including several theorems that were first proven by Euler. The author also shows how to convert the roots of quadratic equations into continued fractions, and demonstrates that these fractions are necessarily periodic. This book is suitable for advanced undergraduate and graduate students interested in number theory and the history of mathematics. It is also a valuable reference for mathematicians working in these areas. 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. Bestandsnummer des Verkäufers 9780282321789_0
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