Field and Galois Theory (Record no. 9367)

MARC details
000 -LEADER
fixed length control field 04554nam a22004935i 4500
001 - CONTROL NUMBER
control field 978-1-4612-4040-2
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20210118114613.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 121227s1996 xxu| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781461240402
-- 978-1-4612-4040-2
024 ## - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-1-4612-4040-2
Source of number or code doi
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA150-272
072 ## - SUBJECT CATEGORY CODE
Subject category code PBF
Source bicssc
072 ## - SUBJECT CATEGORY CODE
Subject category code MAT002000
Source bisacsh
072 ## - SUBJECT CATEGORY CODE
Subject category code PBF
Source thema
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512
Edition number 23
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Morandi, Patrick.
Relator term author.
Relator code aut
-- http://id.loc.gov/vocabulary/relators/aut
245 ## - TITLE STATEMENT
Title Field and Galois Theory
Medium [electronic resource] /
Statement of responsibility, etc by Patrick Morandi.
250 ## - EDITION STATEMENT
Edition statement 1st ed. 1996.
264 ## -
-- New York, NY :
-- Springer New York :
-- Imprint: Springer,
-- 1996.
300 ## - PHYSICAL DESCRIPTION
Extent XVI, 284 p.
Other physical details online resource.
336 ## -
-- text
-- txt
-- rdacontent
337 ## -
-- computer
-- c
-- rdamedia
338 ## -
-- online resource
-- cr
-- rdacarrier
347 ## -
-- text file
-- PDF
-- rda
490 ## - SERIES STATEMENT
Series statement Graduate Texts in Mathematics,
International Standard Serial Number 0072-5285 ;
Volume number/sequential designation 167
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note I Galois Theory -- 1 Field Extensions -- 2 Automorphisms -- 3 Normal Extensions -- 4 Separable and Inseparable Extensions -- 5 The Fundamental Theorem of Galois Theory -- II Some Galois Extensions -- 6 Finite Fields -- 7 Cyclotomic Extensions -- 8 Norms and Traces -- 9 Cyclic Extensions -- 10 Hubert Theorem 90 and Group Cohomology -- 11 Kummer Extensions -- III Applications of Galois Theory -- 12 Discriminants -- 13 Polynomials of Degree 3 and 4 -- 14 The Transcendence of ? and e -- 15 Ruler and Compass Constructions -- 16 Solvability by Radicals -- IV Infinite Algebraic Extensions -- 17 Infinite Galois Extensions -- 18 Some Infinite Galois Extensions -- V Transcendental Extensions -- 19 Transcendence Bases -- 20 Linear Disjointness -- 21 Algebraic Varieties -- 22 Algebraic Function Fields -- 23 Derivations and Differentials -- Appendix A Ring Theory -- 1 Prime and Maximal Ideals -- 2 Unique Factorization Domains -- 3 Polynomials over a Field -- 4 Factorization in Polynomial Rings -- 5 Irreducibility Tests -- Appendix B Set Theory -- 1 Zorn’s Lemma -- 2 Cardinality and Cardinal Arithmetic -- Appendix C Group Theory -- 1 Fundamentals of Finite Groups -- 2 The Sylow Theorems -- 3 Solvable Groups -- 4 Profinite Groups -- Appendix D Vector Spaces -- 1 Bases and Dimension -- 2 Linear Transformations -- 3 Systems of Linear Equations and Determinants -- 4 Tensor Products -- Appendix E Topology -- 1 Topological Spaces -- 2 Topological Properties -- References.
520 ## - SUMMARY, ETC.
Summary, etc In the fall of 1990, I taught Math 581 at New Mexico State University for the first time. This course on field theory is the first semester of the year-long graduate algebra course here at NMSU. In the back of my mind, I thought it would be nice someday to write a book on field theory, one of my favorite mathematical subjects, and I wrote a crude form of lecture notes that semester. Those notes sat undisturbed for three years until late in 1993 when I finally made the decision to turn the notes into a book. The notes were greatly expanded and rewritten, and they were in a form sufficient to be used as the text for Math 581 when I taught it again in the fall of 1994. Part of my desire to write a textbook was due to the nonstandard format of our graduate algebra sequence. The first semester of our sequence is field theory. Our graduate students generally pick up group and ring theory in a senior-level course prior to taking field theory. Since we start with field theory, we would have to jump into the middle of most graduate algebra textbooks. This can make reading the text difficult by not knowing what the author did before the field theory chapters. Therefore, a book devoted to field theory is desirable for us as a text. While there are a number of field theory books around, most of these were less complete than I wanted.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Algebra.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Algebra.
-- https://scigraph.springernature.com/ontologies/product-market-codes/M11000
710 ## - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 ## - HOST ITEM ENTRY
Title Springer Nature eBook
776 ## - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9781461284758
776 ## - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9780387947532
776 ## - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9781461240419
830 ## - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Graduate Texts in Mathematics,
-- 0072-5285 ;
Volume number/sequential designation 167
856 ## - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://doi.org/10.1007/978-1-4612-4040-2">https://doi.org/10.1007/978-1-4612-4040-2</a>
912 ## -
-- ZDB-2-SMA
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-- ZDB-2-SXMS
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-- ZDB-2-BAE
Holdings
Withdrawn status Lost status Damaged status Not for loan Home library Current library Date acquired Total Checkouts Date last seen Price effective from Koha item type
        Central Library, IISER Bhopal Central Library, IISER Bhopal 18/01/2021   18/01/2021 18/01/2021 E-Books


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