A History of Abstract Algebra (Record no. 206074)
[ view plain ]
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 |
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 |