Galois theory / (Record no. 21133)

MARC details
000 -LEADER
fixed length control field 06280cam a2200781Ia 4500
001 - CONTROL NUMBER
control field ocn784952441
003 - CONTROL NUMBER IDENTIFIER
control field OCoLC
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20220701010938.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION
fixed length control field m o d
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cnu---unuuu
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 120409s2012 njua ob 001 0 eng d
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER
LC control number 2011039044
040 ## - CATALOGING SOURCE
Original cataloging agency N$T
Language of cataloging eng
Description conventions pn
Transcribing agency N$T
Modifying agency CUS
-- YDXCP
-- DG1
-- CDX
-- COO
-- E7B
-- OCLCQ
-- DEBSZ
-- OCLCQ
-- IUL
-- OCLCF
-- OCLCQ
-- EBLCP
-- CN3GA
-- OCLCQ
-- AZK
-- DG1
-- MOR
-- LIP
-- PIFAG
-- ZCU
-- MERUC
019 ## -
-- 784883586
-- 794619794
-- 961599377
-- 962604337
-- 988505820
-- 988537875
-- 991961848
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9781118218457
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 1118218450
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9781118218426
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 1118218426
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9781118072059
Qualifying information (cloth)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 1118072057
Qualifying information (cloth)
024 8# - OTHER STANDARD IDENTIFIER
Standard number or code 9786613618191
029 1# - (OCLC)
OCLC library identifier AU@
System control number 000049117486
029 1# - (OCLC)
OCLC library identifier DEBBG
System control number BV040883843
029 1# - (OCLC)
OCLC library identifier DEBSZ
System control number 372710913
029 1# - (OCLC)
OCLC library identifier DEBSZ
System control number 397177402
029 1# - (OCLC)
OCLC library identifier DKDLA
System control number 820120-katalog:000599612
029 1# - (OCLC)
OCLC library identifier NZ1
System control number 14690905
029 1# - (OCLC)
OCLC library identifier NZ1
System control number 15350976
029 1# - (OCLC)
OCLC library identifier DEBBG
System control number BV044159675
029 1# - (OCLC)
OCLC library identifier CHVBK
System control number 480199280
029 1# - (OCLC)
OCLC library identifier CHNEW
System control number 000939636
029 1# - (OCLC)
OCLC library identifier DEBSZ
System control number 485018292
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)784952441
Canceled/invalid control number (OCoLC)784883586
-- (OCoLC)794619794
-- (OCoLC)961599377
-- (OCoLC)962604337
-- (OCoLC)988505820
-- (OCoLC)988537875
-- (OCoLC)991961848
037 ## - SOURCE OF ACQUISITION
Stock number 361819
Source of stock number/acquisition MIL
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA214
Item number .C69 2012eb
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT
Subject category code subdivision 002040
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512/.32
Edition number 23
049 ## - LOCAL HOLDINGS (OCLC)
Holding library MAIN
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Cox, David A.
245 10 - TITLE STATEMENT
Title Galois theory /
Statement of responsibility, etc David A. Cox.
250 ## - EDITION STATEMENT
Edition statement 2nd ed.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Hoboken, NJ :
Name of publisher, distributor, etc John Wiley & Sons,
Date of publication, distribution, etc �2012.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (xxviii, 570 pages) :
Other physical details illustrations.
336 ## -
-- text
-- txt
-- rdacontent
337 ## -
-- computer
-- c
-- rdamedia
338 ## -
-- online resource
-- cr
-- rdacarrier
347 ## -
-- data file
-- rda
380 ## -
-- Bibliography
490 1# - SERIES STATEMENT
Series statement Pure and aplied mathematics
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references and index.
588 0# -
-- Print version record.
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Galois Theory; CONTENTS; Preface to the First Edition; Preface to the Second Edition; Notation; 1 Basic Notation; 2 Chapter-by-Chapter Notation; PART I POLYNOMIALS; 1 Cubic Equations; 1.1 Cardan's Formulas; Historical Notes; 1.2 Permutations of the Roots; A Permutations; B The Discriminant; C Symmetric Polynomials; Mathematical Notes; Historical Notes; 1.3 Cubic Equations over the Real Numbers; A The Number of Real Roots; B Trigonometric Solution of the Cubic; Historical Notes; References; 2 Symmetric Polynomials; 2.1 Polynomials of Several Variables; A The Polynomial Ring in n Variables.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note B The Elementary Symmetric PolynomialsMathematical Notes; 2.2 Symmetric Polynomials; A The Fundamental Theorem; B The Roots of a Polynomial; C Uniqueness; Mathematical Notes; Historical Notes; 2.3 Computing with Symmetric Polynomials (Optional); A Using Mathematica; B Using Maple; 2.4 The Discriminant; Mathematical Notes; Historical Notes; References; 3 Roots of Polynomials; 3.1 The Existence of Roots; Mathematical Notes; Historical Notes; 3.2 The Fundamental Theorem of Algebra; Mathematical Notes; Historical Notes; References; PART II FIELDS; 4 Extension Fields.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 4.1 Elements of Extension FieldsA Minimal Polynomials; B Adjoining Elements; Mathematical Notes; Historical Notes; 4.2 Irreducible Polynomials; A Using Maple and Mathematica; B Algorithms for Factoring; C The Sch�onemann-Eisenstein Criterion; D Prime Radicals; Historical Notes; 4.3 The Degree of an Extension; A Finite Extensions; B The Tower Theorem; Mathematical Notes; Historical Notes; 4.4 Algebraic Extensions; Mathematical Notes; References; 5 Normal and Separable Extensions; 5.1 Splitting Fields; A Definition and Examples; B Uniqueness; 5.2 Normal Extensions; Historical Notes.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 5.3 Separable ExtensionsA Fields of Characteristic 0; B Fields of Characteristic p; C Computations; Mathematical Notes; 5.4 Theorem of the Primitive Element; Mathematical Notes; Historical Notes; References; 6 The Galois Group; 6.1 Definition of the Galois Group; Historical Notes; 6.2 Galois Groups of Splitting Fields; 6.3 Permutations of the Roots; Mathematical Notes; Historical Notes; 6.4 Examples of Galois Groups; A The pth Roots of 2; B The Universal Extension; C A Polynomial of Degree 5; Mathematical Notes; Historical Notes; 6.5 Abelian Equations (Optional); Historical Notes; References.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 7 The Galois Correspondence7.1 Galois Extensions; A Splitting Fields of Separable Polynomials; B Finite Separable Extensions; C Galois Closures; Historical Notes; 7.2 Normal Subgroups and Normal Extensions; A Conjugate Fields; B Normal Subgroups; Mathematical Notes; Historical Notes; 7.3 The Fundamental Theorem of Galois Theory; 7.4 First Applications; A The Discriminant; B The Universal Extension; C The Inverse Galois Problem; Historical Notes; 7.5 Automorphisms and Geometry (Optional); A Groups of Automorphisms; B Function Fields in One Variable; C Linear Fractional Transformations.
520 ## - SUMMARY, ETC.
Summary, etc Praise for the First Edition". . .will certainly fascinate anyone interested in abstract algebra: a remarkable book!" & mdash;Monatshefte fur MathematikGalois theory is one of the most established topics in mathematics, with historical roots that led to the development of many central concepts in modern algebra, including groups and fields. Covering classic applications of the theory, such as solvability by radicals, geometric constructions, and finite fields, Galois Theory, Second Edition delves into novel topics like Abel & rsquo;s theory of Abelian equations, casus irreducibili, and the Galois.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Galois theory.
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Galois theory.
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element MATHEMATICS
General subdivision Algebra
-- Intermediate.
Source of heading or term bisacsh
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Galois theory.
Source of heading or term fast
-- (OCoLC)fst00937326
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Print version:
Main entry heading Cox, David A.
Title Galois theory.
Edition 2nd ed.
Place, publisher, and date of publication Hoboken, N.J. : John Wiley & Sons, �2012
International Standard Book Number 9781118072059
Record control number (DLC) 2011039044
-- (OCoLC)755640849
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Pure and applied mathematics (John Wiley & Sons : Unnumbered)
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="http://dx.doi.org/10.1002/9781118218457">http://dx.doi.org/10.1002/9781118218457</a>
994 ## -
-- C0
-- DG1

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