Description
This paperback edition of Galois Theory by S.S. Weintraub offers a thorough exploration of one of abstract algebra’s most important topics. The book systematically develops the theory of field extensions and introduces readers to Galois groups, which describe the symmetries of algebraic equations.
Starting with foundational concepts, Weintraub guides students through splitting fields, separable extensions, and the fundamental theorem of Galois theory. The text emphasizes both theoretical understanding and practical problem-solving skills. Applications to classical problems such as solvability by radicals and geometric constructions are thoroughly examined.
Ideal for graduate students and advanced undergraduates in mathematics, this Springer publication combines rigorous mathematical exposition with accessible explanations. Numerous examples and exercises reinforce key concepts throughout the chapters.
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