A History of Abstract Algebra (Record no. 206074)

MARC details
000 -LEADER
fixed length control field 04767nam a22004935i 4500
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783319947730
-- 978-3-319-94773-0
040 ## - CATALOGING SOURCE
Transcribing agency CUS
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Gray, Jeremy.
245 12 - TITLE STATEMENT
Title A History of Abstract Algebra
Sub title From Algebraic Equations to Modern Algebra /
Statement of responsibility, etc. by Jeremy Gray.
250 ## - EDITION STATEMENT
Edition statement 1st ed. 2018.
300 ## - DESCRIPTION
Extent XXIV, 415 p. 18 illus.
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Introduction -- 1 Simple quadratic forms -- 2 Fermat’s Last Theorem -- 3 Lagrange’s theory of quadratic forms -- 4 Gauss’s Disquisitiones Arithmeticae -- 5 Cyclotomy -- 6 Two of Gauss’s proofs of quadratic reciprocity -- 7 Dirichlet’s Lectures -- 8 Is the quintic unsolvable? -- 9 The unsolvability of the quintic -- 10 Galois’s theory -- 11 After Galois – Introduction -- 12 Revision and first assignment -- 13 Jordan’s Traité -- 14 Jordan and Klein -- 15 What is ‘Galois theory’? -- 16 Algebraic number theory: cyclotomy -- 17 Dedekind’s first theory of ideals -- 18 Dedekind’s later theory of ideals -- 19 Quadratic forms and ideals -- 20 Kronecker’s algebraic number theory -- 21 Revision and second assignment -- 22 Algebra at the end of the 19th century -- 23 The concept of an abstract field -- 24 Ideal theory -- 25 Invariant theory -- 26 Hilbert’s Zahlbericht -- 27 The rise of modern algebra – group theory -- 28 Emmy Noether -- 29 From Weber to van der Waerden -- 30 Revision and final assignment -- A Polynomial equations in the 18th Century -- B Gauss and composition of forms -- C Gauss on quadratic reciprocity -- D From Jordan’s Traité -- E Klein’s Erlanger Programm -- F From Dedekind’s 11th supplement -- G Subgroups of S4 and S5 -- H Curves -- I Resultants -- Bibliography -- Index.
650 #0 - SUBJECT
Keyword Mathematics.
650 #0 - SUBJECT
Keyword History.
650 #0 - SUBJECT
Keyword Algebra.
650 #0 - SUBJECT
Keyword Number theory.
650 14 - SUBJECT
Keyword History of Mathematical Sciences.
650 24 - SUBJECT
Keyword Algebra.
650 24 - SUBJECT
Keyword Number Theory.
856 40 - ONLINE RESOURCES
url https://doi.org/10.1007/978-3-319-94773-0
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type e-Books
912 ## -
-- ZDB-2-SMA
912 ## -
-- ZDB-2-SXMS
Holdings
Home library Current library Full call number Accession number Koha item type
Central Library, Sikkim University Central Library, Sikkim University 510.9 E-3039 e-Books
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