000 -LEADER |
fixed length control field |
02243nam a22002897a 4500 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
CITU |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20240430114040.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
240430b ||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781804060032 |
040 ## - CATALOGING SOURCE |
Original cataloging agency |
DLC |
Language of cataloging |
eng |
Transcribing agency |
DLC |
Description conventions |
rda |
Modifying agency |
DLC |
041 ## - LANGUAGE CODE |
Language code of text/sound track or separate title |
eng |
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
512.8 |
100 1# - MAIN ENTRY--PERSONAL NAME |
Preferred name for the person |
Saracino, Dan, |
Dates associated with a name |
1947- |
Relator term |
author. |
245 10 - TITLE STATEMENT |
Title |
Abstract algebra / |
Statement of responsibility, etc |
Dan Saracino. |
250 ## - EDITION STATEMENT |
Edition statement |
Second edition. |
264 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Place of publication, distribution, etc |
London : |
Name of publisher, distributor, etc |
ED-Tech Press, |
Date of publication, distribution, etc |
[2023]. |
264 #4 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Date of publication, distribution, etc |
© 2023. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
313 pages ; |
Dimensions |
22 cm. |
336 ## - CONTENT TYPE |
Content type term |
text |
Content type code |
txt |
Source |
rdacontent |
337 ## - MEDIA TYPE |
Media type term |
unmediated |
Media type code |
n |
Source |
rdamedia |
338 ## - CARRIER TYPE |
Carrier type term |
volume |
Carrier type code |
nc |
Source |
rdacarrier |
501 ## - WITH NOTE |
With note |
Includes index. |
505 0# - CONTENTS |
Formatted contents note |
Sets and induction ; Binary operations ; Groups ; Fundamental theorems about groups ; Powers of an element; cyclic groups ; Subgroups ; Direct products ; Functions ; Symmetric Groups ; Equivalence relations; cosets ; Counting the elements of a finite group ; Normal subgroups ; Homomorphisms ; Homomorphisms and normal subgroups ; Direct products and finite abelian groups ; Sylow theorems ; Rings ; subrings, ideals, and quotient rings ; Ring homomorphisms ; Polynomials ; From polynomials to fields ; Unique factorization domains ; Extension of fields ; Constructions with straightedge and compass ; Normal and separable extensions ; Galois theory ; Solvability |
520 2# - SUMMARY, ETC. |
Summary, etc |
The book preserved the emphasis on providing a large number of examples and on helping students learn how to write proofs. The presentation of the sections is given at a higher level. Unusual features, for a book is still relatively short, are the inclusion of full proofs of both directions of Gauss' theorem on constructible regular polygons and Galois' theorem on solvability by radicals, a Galois-theoretic proof of the Fundamental Theorem of Algebra, and a proof of the Primitive Element Theorem. The changes include the simplification of some points in the addition of some new exercise, and the updating of some historical material. All the topics are given in step by step method with simple language to understand the concept easily. This book is intended for use in a junior-senior level course in abstract algebra. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Algebra, Abstract. |
942 ## - ADDED ENTRY ELEMENTS |
Source of classification or shelving scheme |
|
Item type |
BOOK |