Algebraic number fields (Record no. 1617)

000 -LEADER
fixed length control field 01914nam a2200217Ia 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240828155525.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 180205s9999 xx 000 0 und d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780821852194
040 ## - CATALOGING SOURCE
Original cataloging agency ICTS-TIFR
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA3
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Januz, Gerald J.
245 ## - TITLE STATEMENT
Title Algebraic number fields
250 ## - EDITION STATEMENT
Edition statement 2nd ed.
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Name of publisher, distributor, etc. AMS,
Date of publication, distribution, etc. [c1996]
Place of publication, distribution, etc. Rhode Island:
300 ## - Physical Description
Pages: 273 p.
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note Chapter I. Subrings of fields<br/>Chapter II. Complete fields<br/>Chapter III. Decomposition groups and the Artin map<br/>Chapter IV. Analytic methods and Ray classes<br/>Chapter V. Class field theory<br/>Chapter VI. Quadratic fields<br/>
520 ## - SUMMARY, ETC.
Summary, etc. The book is directed toward students with a minimal background who want to learn class field theory for number fields. The only prerequisite for reading it is some elementary Galois theory. The first three chapters lay out the necessary background in number fields, such as the arithmetic of fields, Dedekind domains, and valuations. The next two chapters discuss class field theory for number fields. The concluding chapter serves as an illustration of the concepts introduced in previous chapters. In particular, some interesting calculations with quadratic fields show the use of the norm residue symbol.<br/><br/>For the second edition the author added some new material, expanded many proofs, and corrected errors found in the first edition. The main objective, however, remains the same as it was for the first edition: to give an exposition of the introductory material and the main theorems about class fields of algebraic number fields that would require as little background preparation as possible. Janusz's book can be an excellent textbook for a year-long course in algebraic number theory; the first three chapters would be suitable for a one-semester course. It is also very suitable for independent study.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematics
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Book
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Home library Shelving location Date acquired Full call number Accession No. Koha item type
          ICTS Rack No 3 01/18/2018 QA3 00876 Book