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

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    DescriptionClearly 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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  • Full bibliographic data for Galois Theory

    Title
    Galois Theory
    Subtitle
    Lectures Delivered at the University of Notre Dame by Emil Artin (Notre Dame Mathematical Lectures, Number 2)
    Authors and contributors
    By (author) Emil Artin
    Physical properties
    Format: Paperback
    Number of pages: 86
    Width: 136 mm
    Height: 214 mm
    Thickness: 6 mm
    Weight: 91 g
    Language
    English
    ISBN
    ISBN 13: 9780486623429
    ISBN 10: 0486623424
    Classifications

    B&T Book Type: NF
    BIC E4L: ART
    Nielsen BookScan Product Class 3: T1.0
    BIC subject category V2: ABA
    B&T Merchandise Category: SCI
    B&T General Subject: 710
    Warengruppen-Systematik des deutschen Buchhandels: 25820
    Ingram Subject Code: MA
    Libri: I-MA
    BIC subject category V2: PBF
    BISAC V2.8: MAT002000, MAT014000
    DC21: 512.3
    LC subject heading:
    DC22: 512/.3
    LC subject heading:
    DC22: 512.3
    LC classification: QA214 .A77 1998
    Thema V1.0: ABA, PBF
    Edition
    2, New edition
    Edition statement
    New edition
    Illustrations note
    black & white illustrations
    Publisher
    Dover Publications Inc.
    Imprint name
    Dover Publications Inc.
    Publication date
    01 July 1998
    Publication City/Country
    New York
    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