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D. J. H.Garling

Galois Theory and Its Algebraic Background

Galois Theory and Its Algebraic Background

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  • More about Galois Theory and Its Algebraic Background

Galois Theory is a branch of mathematics that studies polynomial equations and their solutions. It uses group theory and field theory to determine the solubility of polynomial equations by radicals, which is the process of repeatedly extracting roots using elementary algebraic operations. This textbook provides a detailed account of Galois Theory and the algebra it needs, suitable for both lectures and independent readers. The second edition has been revised and re-ordered, with applications to ruler-and-compass constructions and the solution of classical mathematical problems.

Format: Paperback / softback
Length: 204 pages
Publication date: 22 July 2021
Publisher: Cambridge University Press


Galois Theory, a captivating and intricate branch of pure mathematics, delves into the study of polynomial equations and their solutions. By employing group theory and field theory, it offers a comprehensive framework for understanding the solubility of polynomial equations by radicals. This involves determining when and how a polynomial equation can be resolved through the repeated extraction of roots using fundamental algebraic operations. This textbook serves as an invaluable resource for both students enrolled in lectures and independent readers, assuming no prior knowledge of Galois Theory. The second edition of this text has undergone significant revisions and reorganization, with the first part focusing on developing the essential algebra required, while the second part provides a comprehensive account of Galois Theory. Throughout, the book incorporates new exercises to enhance the learning experience, and carefully selected examples aid in developing a clear understanding of the mathematical concepts.

Galois Theory, a profound and intricate branch of pure mathematics, explores the study of polynomial equations and their solutions. Through the application of group theory and field theory, it provides a comprehensive framework for understanding the solubility of polynomial equations by radicals. This involves determining when and how a polynomial equation can be resolved through the repeated extraction of roots using fundamental algebraic operations. This textbook serves as an invaluable resource for both students enrolled in lectures and independent readers, assuming no prior knowledge of Galois Theory. The second edition of this text has undergone significant revisions and reorganization, with the first part focusing on developing the essential algebra required, while the second part provides a comprehensive account of Galois Theory. Throughout, the book incorporates new exercises to enhance the learning experience, and carefully selected examples aid in developing a clear understanding of the mathematical concepts.

Galois Theory, a captivating and intricate branch of pure mathematics, delves into the study of polynomial equations and their solutions. By employing group theory and field theory, it offers a comprehensive framework for understanding the solubility of polynomial equations by radicals. This involves determining when and how a polynomial equation can be resolved through the repeated extraction of roots using fundamental algebraic operations. This textbook serves as an invaluable resource for both students enrolled in lectures and independent readers, assuming no prior knowledge of Galois Theory. The second edition of this text has undergone significant revisions and reorganization, with the first part focusing on developing the essential algebra required, while the second part provides a comprehensive account of Galois Theory. Throughout, the book incorporates new exercises to enhance the learning experience, and carefully selected examples aid in developing a clear understanding of the mathematical concepts.

Weight: 360g
Dimension: 152 x 229 x 21 (mm)
ISBN-13: 9781108969086
Edition number: 2 Revised edition

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