Lejeune Dirichlet's Werke, Vol. 1 (Classic Reprint)

Peter Gustav Lejeune-Dirichlet

ISBN 10: 0282022902 / ISBN 13: 9780282022907

Published by Forgotten Books, 2019

About this Item

Print on Demand. This book presents an exploration of indeterminate equations of the fifth degree. The author was the first to demonstrate the impossibility of solving certain types of these equations by positing that if an equation is unsolvable, then no matter what values are given to its variables, the two sides of the equation will never produce the same remainder when divided by a certain number or modulus. The author's key insight was to subject the indeterminate number that appears in the equation to certain conditions, allowing for the elimination of all but one of the solutions to the quadratic formula that normally arise when solving such equations. This approach led to the establishment of several new theorems, including one that provides a general method for expressing the sum or difference of two fifth powers as the product of a fifth power and a specific type of number. The author's work significantly advanced the understanding of indeterminate equations and continues to be a valuable resource for mathematicians today. 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.

Seller Inventory # 9780282022907_0

Bibliographic Details

• Title: Lejeune Dirichlet's Werke, Vol. 1 (Classic Reprint)
• Publisher: Forgotten Books
• Publication Date: 2019
• Language: French
• ISBN 10: 0282022902
• ISBN 13: 9780282022907
• Binding: Paperback
• Condition: New
• Book Type: print-on-demand item
• Seller catalogs:
  • Books in French

About this title

Synopsis

Excerpt from Lejeune Dirichlet's Werke, Vol. 1

Recherches sur les diviseurs premiers d'une classe de formules du quatrième degré. Grelle, Journal fur die reine und angewandte Mathematik, Bd. 3, 8. 35 - 69. (1828)

About the Publisher

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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.