National Science Library of Georgia

Introductory algebraic number theory / (Record no. 519188)

MARC details
000 -LEADER
fixed length control field 02536nam a22003498i 4500
001 - CONTROL NUMBER
control field CR9780511791260
003 - CONTROL NUMBER IDENTIFIER
control field UkCbUP
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20200124160248.0
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||||||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 141103s2004||||enk o ||1 0|eng|d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780511791260 (ebook)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9780521832502 (hardback)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9780521540117 (paperback)
040 ## - CATALOGING SOURCE
Original cataloging agency UkCbUP
Language of cataloging eng
Description conventions rda
Transcribing agency UkCbUP
050 00 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA247
Item number .A43 2004
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512/.74
Edition number 21
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Alaca, Şaban,
Dates associated with a name 1964-
Relator term author.
245 10 - TITLE STATEMENT
Title Introductory algebraic number theory /
Statement of responsibility, etc Şaban Alaca, Kenneth S. Williams.
264 #1 - Production, Publication, Distribution, Manufacture, and Copyright Notice (R)
Place of production, publication, distribution, manufacture (R) Cambridge :
Name of producer, publisher, distributor, manufacturer (R) Cambridge University Press,
Date of production, publication, distribution, manufacture, or copyright notice 2004.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (xvii, 428 pages) :
Other physical details digital, PDF file(s).
336 ## - Content Type (R)
Content type term (R) text
Content type code (R) txt
Source (NR) rdacontent
337 ## - Media Type (R)
Media type term (R) computer
Media type code (R) c
Source (NR) rdamedia
338 ## - Carrier Type (R)
Carrier type term (R) online resource
Carrier type code (R) cr
Source (NR) rdacarrier
500 ## - GENERAL NOTE
General note Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Integral domains -- Euclidean domains -- Noetherian domains -- Elements integral over a domain -- Algebraic extensions of a field -- Algebraic number fields -- Integral bases -- Dedekind domains -- Norms of ideals -- Decomposing primes in a number field -- Units in real quadratic fields -- The ideal class group -- Dirichlet's unit theorem -- Applications to diophantine equations.
520 ## - SUMMARY, ETC.
Summary, etc Algebraic number theory is a subject which came into being through the attempts of mathematicians to try to prove Fermat's last theorem and which now has a wealth of applications to diophantine equations, cryptography, factoring, primality testing and public-key cryptosystems. This book provides an introduction to the subject suitable for senior undergraduates and beginning graduate students in mathematics. The material is presented in a straightforward, clear and elementary fashion, and the approach is hands on, with an explicit computational flavour. Prerequisites are kept to a minimum, and numerous examples illustrating the material occur throughout the text. References to suggested reading and to the biographies of mathematicians who have contributed to the development of algebraic number theory are given at the end of each chapter. There are over 320 exercises, an extensive index, and helpful location guides to theorems and lemmas in the text.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Algebraic number theory
Form subdivision Textbooks.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Williams, Kenneth S.,
Relator term author.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Print version:
International Standard Book Number 9780521832502
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://doi.org/10.1017/CBO9780511791260">https://doi.org/10.1017/CBO9780511791260</a>

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