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Galois Theory: Lectures Delivered at the University of Notre Dame by Emil Artin is a nonfiction available to read on EtoBox.

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Cover Page Contents I Linear Algebra A. Fields B. Vector Spaces C. Homogeneous Linear Equations D. Dependence and Independence of Vectors E. Non-homogeneous Linear Equations F. Determinants II Field Theory A. Extension Fields B. Polynomials C. Algebraic Elements D. Splitting Fields E. Unique Decomposition of Polynomials into Irreducible Factors F. Group Characters G. Applications and Examples to Theorem 13 H. Normal Extensions I. Finite Fields J. Roots of Unity K. Noether Equations L. Kummer's Fields M. Simple Extensions N. Existence of a Normal Basis O. Theorem on Natural Irrationalities III Applications A. Solvable Groups B. Permutation Groups C. Solution of Equations by Radicals D. The General Equation of Degree n E. Solvable Equations of Prime Degree F. Ruler and Compass Constructions

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Author

Emil Artin

Publisher

Dover Publications

Published

1997

Language

EN

Category

nonfiction