Description
Book Synopsis: The book gives a detailed account of the development of the theory of algebraic equations, from its origins in ancient times to its completion by Galois in the nineteenth century. The appropriate parts of works by Cardano, Lagrange, Vandermonde, Gauss, Abel, and Galois are reviewed and placed in their historical perspective, with the aim of conveying to the reader a sense of the way in which the theory of algebraic equations has evolved and has led to such basic mathematical notions as 'group' and 'field'. A brief discussion of the fundamental theorems of modern Galois theory and complete proofs of the quoted results are provided, and the material is organized in such a way that the more technical details can be skipped by readers who are interested primarily in a broad survey of the theory. In this second edition, the exposition has been improved throughout and the chapter on Galois has been entirely rewritten to better reflect Galois' highly innovative contributions. The text now follows more closely Galois' memoir, resorting as sparsely as possible to anachronistic modern notions such as field extensions. The emerging picture is a surprisingly elementary approach to the solvability of equations by radicals, and yet is unexpectedly close to some of the most recent methods of Galois theory.
Details
Discover the captivating journey of the theory of algebraic equations in the Second Edition of Galois' Theory Of Algebraic Equations. From the ancient times to the groundbreaking work of Galois in the nineteenth century, this book delves into the historical evolution of mathematical notions like 'group' and 'field'. With insights from esteemed mathematicians such as Cardano, Lagrange, and Gauss, this edition provides a comprehensive look at the development of algebraic equations theory.
Immerse yourself in the brilliance of Galois as the Second Edition offers improved exposition and a rewritten chapter focusing on his groundbreaking contributions. Gain a deeper understanding of fundamental theorems of modern Galois theory, complete with detailed proofs. Whether you are a math enthusiast or a history buff, this book provides a broad survey of the theory, allowing you to skip technical details while appreciating the historical significance of algebraic equations.
Uncover the surprisingly elementary approach to solving equations by radicals with Galois' innovative perspective. With enhanced explanations and a more closely aligned structure to Galois' memoir, this edition offers readers an updated and comprehensive view of algebraic equations theory. Don't miss out on this opportunity to explore the world of mathematics through the lens of one of history's greatest mathematicians.
Ready to embark on a journey through the evolution of algebraic equations theory? Dive into the Second Edition of Galois' Theory Of Algebraic Equations now! Get your copy here!
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