Galois Theory: Lectures Delivered at the University of Notre Dame by Emil Artin (Notre Dame Mathematical Lectures, Number 2)

Galois Theory: Lectures Delivered at the University of Notre Dame by Emil Artin (Notre Dame Mathematical Lectures, Number 2)

Paperback Notre Dame Mathematical Lectures

By (author) Emil Artin

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  • Publisher: Dover Publications Inc.
  • Format: Paperback | 86 pages
  • Dimensions: 136mm x 210mm x 6mm | 118g
  • Publication date: 1 July 1998
  • Publication City/Country: New York
  • ISBN 10: 0486623424
  • ISBN 13: 9780486623429
  • Edition: 2, New edition
  • Edition statement: New edition
  • Illustrations note: black & white illustrations
  • Sales rank: 163,055

Product description

Clearly presented elements of one of the most penetrating concepts in modern mathematics include discussions of fields, vector spaces, homogeneous linear equations, extension fields, polynomials, algebraic elements, as well as sections on solvable groups, permutation groups, solution of equations by radicals, and other concepts. 1966 edition.

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Table of 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. Kimmer's Fields   M. Simple Extensions   N. Existence of a Normal Basis   O. Theorem on natural Irrationalities III. Applications. By A. N. Milgram   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 Construction