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Algebraic Equations: An Introduction to the Theories of Lagrange and Galois
Hardcover
ISBN13: 9781025263564
Publisher: Tradd Street Press
Published: Feb 14 2026
Pages: 226
Weight: 1.09
Height: 0.56 Width: 6.14 Depth: 9.21
Language: English
Algebraic Equations: An Introduction to the Theories of Lagrange and Galois provides a comprehensive and rigorous introduction to the classical problems of algebra and the revolutionary theories that sought to solve them. Edgar Dehn guides the reader through the foundational concepts of polynomial equations, emphasizing the monumental contributions of Joseph-Louis Lagrange and Évariste Galois. The work serves as a bridge between elementary algebra and the more abstract concepts of modern group theory and field theory.
The text explores the symmetry of roots, the theory of permutations, and the conditions under which equations can be solved by radicals. By examining the evolution of mathematical thought, Dehn illuminates the logic that led to the development of Galois theory. This book is an essential resource for mathematicians, students, and historians of science who wish to understand the structural foundations of algebra and the elegant interplay between groups and algebraic fields. Its clear exposition and focus on theoretical underpinnings ensure its continued relevance as a masterclass in algebraic logic.
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you may see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.
This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.
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