A classical introduction to Galois theory / (Record no. 205579)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 05192cam a2200709 a 4500 |
| 001 - CONTROL NUMBER | |
| control field | ocn775780317 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20171115113716.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| 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 | 120208s2012 nju ob 001 0 eng |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER | |
| LC control number | 2012005885 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781118336670 |
| Qualifying information | (epdf) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1118336674 |
| Qualifying information | (epdf) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781118336847 |
| Qualifying information | (epub) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1118336844 |
| Qualifying information | (epub) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781118336830 |
| Qualifying information | (mobi) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1118336836 |
| Qualifying information | (mobi) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781118336816 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 111833681X |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9781118091395 |
| Qualifying information | (hardback) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 1118091396 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9781280678981 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 1280678984 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | DEBBG |
| System control number | BV040884232 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | DEBBG |
| System control number | BV041912195 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | DEBSZ |
| System control number | 37274043X |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | DEBSZ |
| System control number | 397258976 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | DEBSZ |
| System control number | 43110817X |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | DEBSZ |
| System control number | 449291219 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | NZ1 |
| System control number | 14690895 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | NZ1 |
| System control number | 15340796 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)775780317 |
| Canceled/invalid control number | (OCoLC)794663366 |
| -- | (OCoLC)795894775 |
| -- | (OCoLC)795913964 |
| -- | (OCoLC)813932535 |
| -- | (OCoLC)817086270 |
| -- | (OCoLC)872574879 |
| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | 10.1002/9781118336816 |
| Source of stock number/acquisition | Wiley InterScience |
| Note | http://www3.interscience.wiley.com |
| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | A350873F-43FE-469B-BF3D-1BC1A3E2E2F7 |
| Source of stock number/acquisition | OverDrive, Inc. |
| Note | http://www.overdrive.com |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | DLC |
| Language of cataloging | eng |
| Description conventions | pn |
| Transcribing agency | DLC |
| Modifying agency | N$T |
| -- | MERUC |
| -- | EBLCP |
| -- | IDEBK |
| -- | UIU |
| -- | DG1 |
| -- | E7B |
| -- | YDXCP |
| -- | COO |
| -- | DEBSZ |
| -- | CDX |
| -- | TEFOD |
| -- | NLGGC |
| -- | UKDOC |
| -- | OCLCF |
| -- | DEBBG |
| -- | TEFOD |
| -- | OCLCQ |
| 042 ## - AUTHENTICATION CODE | |
| Authentication code | pcc |
| 049 ## - LOCAL HOLDINGS (OCLC) | |
| Holding library | MAIN |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA214 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 002040 |
| Source | bisacsh |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512/.32 |
| Edition number | 23 |
| 084 ## - OTHER CLASSIFICATION NUMBER | |
| Classification number | MAT003000 |
| Number source | bisacsh |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Newman, Stephen C., |
| Dates associated with a name | 1952- |
| 245 12 - TITLE STATEMENT | |
| Title | A classical introduction to Galois theory / |
| Statement of responsibility, etc. | Stephen C. Newman. |
| Medium | [electronic resource] |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | Hoboken, N.J. : |
| Name of publisher, distributor, etc. | Wiley, |
| Date of publication, distribution, etc. | 2012. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource. |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references and index. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | A CLASSICAL INTRODUCTION TO GALOIS THEORY; CONTENTS; PREFACE; 1 CLASSICAL FORMULAS; 1.1 Quadratic Polynomials; 1.2 Cubic Polynomials; 1.3 Quartic Polynomials; 2 POLYNOMIALS AND FIELD THEORY; 2.1 Divisibility; 2.2 Algebraic Extensions; 2.3 Degree of Extensions; 2.4 Derivatives; 2.5 Primitive Element Theorem; 2.6 Isomorphism Extension Theorem and Splitting Fields; 3 FUNDAMENTAL THEOREM ON SYMMETRIC POLYNOMIALS AND DISCRIMINANTS; 3.1 Fundamental Theorem on Symmetric Polynomials; 3.2 Fundamental Theorem on Symmetric Rational Functions; 3.3 Some Identities Based on Elementary Symmetric Polynomials. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | "This book provides an introduction to Galois theory and focuses on one central theme - the solvability of polynomials by radicals. Both classical and modern approaches to the subject are described in turn in order to have the former (which is relatively concrete and computational) provide motivation for the latter (which can be quite abstract). The theme of the book is historically the reason that Galois theory was created, and it continues to provide a platform for exploring both classical and modern concepts. This book examines a number of problems arising in the area of classical mathematics, and a fundamental question to be considered is: For a given polynomial equation (over a given field), does a solution in terms of radicals exist? That the need to investigate the very existence of a solution is perhaps surprising and invites an overview of the history of mathematics. The classical material within the book includes theorems on polynomials, fields, and groups due to such luminaries as Gauss, Kronecker, Lagrange, Ruffini and, of course, Galois. These results figured prominently in earlier expositions of Galois theory, but seem to have gone out of fashion. This is unfortunate since, aside from being of intrinsic mathematical interest, such material provides powerful motivation for the more modern treatment of Galois theory presented later in the book. Over the course of the book, three versions of the Impossibility Theorem are presented: the first relies entirely on polynomials and fields, the second incorporates a limited amount of group theory, and the third takes full advantage of modern Galois theory. This progression through methods that involve more and more group theory characterizes the first part of the book. The latter part of the book is devoted to topics that illustrate the power of Galois theory as a computational tool, but once again in the context of solvability of polynomial equations by radicals"-- |
| Assigning source | Provided by publisher. |
| 588 0# - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Print version record and CIP data provided by publisher. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Galois theory. |
| 650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MATHEMATICS |
| General subdivision | Applied. |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Galois theory. |
| Source of heading or term | fast |
| Authority record control number | (OCoLC)fst00937326 |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Newman, Stephen C., 1952- |
| Title | Classical introduction to Galois theory. |
| Place, publisher, and date of publication | Hoboken, N.J. : Wiley, 2012 |
| International Standard Book Number | 9781118091395 |
| Record control number | (DLC) 2011053469 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://onlinelibrary.wiley.com/book/10.1002/9781118336816 |
| Public note | Wiley Online Library |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | |
| Koha item type | Books |
No items available.