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Group theory --- 512.62 --- Fields. Polynomials --- 512.62 Fields. Polynomials

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Champs topologiques --- Topological fields --- Topologische velden --- Topological fields. --- 512.62 --- Algebraic fields --- Fields. Polynomials --- 512.62 Fields. Polynomials

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Galois Theory is one of the most beautiful topics in algebra, as both a mathematical theory and as a wonderful history. This is the first book to detail this history. The book covers the basic material of Galois theory and discusses many related topics (Abelian equations, solvable equations of prime degree, and the casus irreducibilis) not mentioned in most standard treatments of Galois theory. It also describes the rich history of Galois theory, including the work of Lagrange, Gauss, Abel, Galois, Jordan, and Kronecker._ Many books on Galois theory are "thin and elegant", aiming for a_sparse but beautiful presentation of the theory._ This book is a "fat" book on Galois theory in an effort to help_readers to understand not only the elegance of the ideas, but also where they came from_and how they relate to other areas of mathematics._

Galois theory --- 512.62 --- Equations, Theory of --- Group theory --- Number theory --- Fields. Polynomials --- Galois theory. --- 512.62 Fields. Polynomials

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Galois theory --- Equations, Theory of --- Group theory --- Number theory --- 512.62 --- 512.62 Fields. Polynomials --- Fields. Polynomials --- Galois theory.

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512.62 --- Polynomials --- Factorization (Mathematics) --- Forms, Quadratic --- #KOPO:Prof. R. Holvoet --- Quadratic forms --- Diophantine analysis --- Forms, Binary --- Number theory --- Mathematics --- Algebra --- Fields. Polynomials --- 512.62 Fields. Polynomials