Galois theory (Record no. 49423)

MARC details
000 -LEADER
fixed length control field 04281nam a22002297a 4500
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20181112160306.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 180529b xxu||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781118072059
028 ## - DISTRIBUTOR NAME
Distributor Name Brijwasi Book Distributors
Distributor address ;H-87,Lalita Park,Laxmi Nagar,Delhi-110092
Bill Number ;BW/004805
Bill Date ;15/05/2018
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.32 COX
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name David A Cox
245 ## - TITLE STATEMENT
Title Galois theory
Statement of responsibility, etc /David A Cox
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 xxviii, 570 pages
Other physical details : illustrations.
Dimensions ;24 cm
490 ## - SERIES STATEMENT
Series statement Pure and applied mathematics (John Wiley & Sons : Unnumbered)
505 ## - FORMATTED CONTENTS NOTE
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. B The Elementary Symmetric Polynomials Mathematical 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. 4.1 Elements of Extension Fields A Minimal Polynomials; B Adjoining Elements; Mathematical Notes; Historical Notes; 4.2 Irreducible Polynomials; A Using Maple and Mathematica; B Algorithms for Factoring; C The Schönemann-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. 5.3 Separable Extensions A 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. 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 <br/>Praise for the First Edition " ... will certainly fascinate anyone interested in abstract algebra: a remarkable book!"--Monatshefte fur Mathematik Galois 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's theory of Abelian equations, casus irreducibili, and the Galois.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics
655 ## - INDEX TERM--GENRE/FORM
Genre/form data or focus term Galois theory
Non-focus term ;Equations Theory
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name David A Cox
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Mathematics Departmental Library
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Date acquired Cost, normal purchase price Total Checkouts Full call number Barcode Date last seen Price effective from Koha item type
    Dewey Decimal Classification     SNU LIBRARY SNU LIBRARY 29/05/2018 5586.00   512.32 COX 25014 29/05/2018 29/05/2018 Mathematics Departmental Library
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