This text offers an exposition of Galois theory with exercises and complete proofs. Topics include Cardano's formulas, the fundamental theorem, Galois' great theorem (solvability for radicals of a polynomial is equivalent to solvability of its Galois group), and computation of Galois groups of cubics and quartics. There are appendices on group theory and ruler-compass constructions. Developed on the basis of a graduate algebra course, following a course on group theory, this book will provide a concise introduction to ...
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This text offers an exposition of Galois theory with exercises and complete proofs. Topics include Cardano's formulas, the fundamental theorem, Galois' great theorem (solvability for radicals of a polynomial is equivalent to solvability of its Galois group), and computation of Galois groups of cubics and quartics. There are appendices on group theory and ruler-compass constructions. Developed on the basis of a graduate algebra course, following a course on group theory, this book will provide a concise introduction to Galois theory suitable for graduate students, either as a text for a course or for study outside the classroom.
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