Galois theory

By: Artin, EmilContributor(s): Edited by Milgram, Arthur NMaterial type: TextTextPublication details: New York: Dover Pub. [c2018]Description: 82 pISBN: 9780486623429LOC classification: QA1
Contents:
Chapter I: Linear Algebra Chapter II: Field Theory Chapter III: Applications
Summary: Courier Corporation, 1 Jan 1998 - Mathematics - 82 pages In the nineteenth century, French mathematician Evariste Galois developed the Galois theory of groups-one of the most penetrating concepts in modem mathematics. The elements of the theory are clearly presented in this second, revised edition of a volume of lectures delivered by noted mathematician Emil Artin. The book has been edited by Dr. Arthur N. Milgram, who has also supplemented the work with a Section on Applications.The first section deals with linear algebra, including fields, vector spaces, homogeneous linear equations, determinants, and other topics. A second section considers extension fields, polynomials, algebraic elements, splitting fields, group characters, normal extensions, roots of unity, Noether equations, Jummer's fields, and more.Dr. Milgram's section on applications discusses solvable groups, permutation groups, solution of equations by radicals, and other concepts.
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Item type Current library Collection Shelving location Call number Status Notes Date due Barcode Item holds
Book Book ICTS
Mathematic Rack No 3 QA1 (Browse shelf (Opens below)) Available Invoice no. IN 248 ; Date 10-05-2019 02020
Total holds: 0

Chapter I: Linear Algebra

Chapter II: Field Theory

Chapter III: Applications

Courier Corporation, 1 Jan 1998 - Mathematics - 82 pages

In the nineteenth century, French mathematician Evariste Galois developed the Galois theory of groups-one of the most penetrating concepts in modem mathematics. The elements of the theory are clearly presented in this second, revised edition of a volume of lectures delivered by noted mathematician Emil Artin. The book has been edited by Dr. Arthur N. Milgram, who has also supplemented the work with a Section on Applications.The first section deals with linear algebra, including fields, vector spaces, homogeneous linear equations, determinants, and other topics. A second section considers extension fields, polynomials, algebraic elements, splitting fields, group characters, normal extensions, roots of unity, Noether equations, Jummer's fields, and more.Dr. Milgram's section on applications discusses solvable groups, permutation groups, solution of equations by radicals, and other concepts.

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