Algebraic Equations

"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.

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