Rings and fields / (Αριθ. εγγραφής 138582)
[ απλή προβολή ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 04124cam a2200649Ma 4500 |
| 001 - CONTROL NUMBER | |
| control field | ocm45733864 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20190114101350.0 |
| 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 cn||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 001023s1992 enka ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | N$T |
| Language of cataloging | eng |
| Description conventions | pn |
| Transcribing agency | N$T |
| Modifying agency | OCL |
| -- | OCLCQ |
| -- | MUQ |
| -- | OCLCQ |
| -- | YDXCP |
| -- | OCLCQ |
| -- | TUU |
| -- | OCLCQ |
| -- | TNF |
| -- | NEG |
| -- | OCLCO |
| -- | OCLCQ |
| -- | IDEBK |
| -- | OPU |
| -- | OCLCQ |
| -- | OCLCF |
| -- | P4I |
| -- | N$T |
| -- | OCLCQ |
| -- | MWM |
| -- | OCLCQ |
| -- | LUE |
| -- | UUM |
| 019 ## - | |
| -- | 667046917 |
| -- | 758976167 |
| -- | 970796158 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 058529447X |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780585294476 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 0198534558 |
| Qualifying information | (hardback) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 019853454X |
| Qualifying information | (pbk.) |
| 035 ## - | |
| -- | (OCoLC)45733864 |
| -- | (OCoLC)667046917 |
| -- | (OCoLC)758976167 |
| -- | (OCoLC)970796158 |
| 050 #4 - | |
| -- | QA247 |
| -- | .E39 1992eb |
| 072 #7 - | |
| -- | MAT |
| -- | 002040 |
| -- | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512/.4 |
| Edition number | 20 |
| 084 ## - | |
| -- | 31.23 |
| -- | bcl |
| 049 ## - | |
| -- | MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Ellis, Graham. |
| 245 10 - TITLE STATEMENT | |
| Title | Rings and fields / |
| Statement of responsibility, etc. | Graham Ellis. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | Oxford [England] : |
| Name of publisher, distributor, etc. | Clarendon Press ; |
| Place of publication, distribution, etc. | New York : |
| Name of publisher, distributor, etc. | Oxford University Press, |
| Date of publication, distribution, etc. | 1992. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (viii, 169 pages) : |
| Other physical details | illustrations. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Oxford science publications |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references (page 166) and index. |
| 588 0# - | |
| -- | Print version record. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 0. Preliminaries. Definition of rings and fields. Vector spaces. Bases. Equivalence relations. Axiom of choice -- 1. Diophantine equations: Euclidean domains. Euclidean domain of Gaussian integers. Euclidean domains as unique factorization domains -- 2. Construction of projective planes: splitting fields and finite fields. Existence and uniqueness of splitting fields and of finite fields of prime power order -- 3. Error codes: primitive elements and subfields. Existence of primitive elements in finite fields. Subfields of finite fields. Computation of minimum polynomials -- 4. Construction of primitive polynomials: cyclotomic polynomials and factorization. Basic properties of cyclotomic polynomials. Berlekamp's factorization algorithm -- 5. Ruler and compass constructions: irreducibility and constructibility. Product formula for the degree of composite extensions. Irreducibility criteria for polynomials over the rationals. The field of constructible real numbers -- 6. Pappus' theorem and Desargues' theorem in projective planes: Wedderburn's theorem. Proof of Wedderburn's theorem -- 7. Solution of polynomials by radicals: Galois groups. Basic definitions and results in Galois groups. Discriminants -- 8. Introduction to groups. Group axioms. Subgroup lattice. Class equation. Cauchy's theorem. Transitive permutation groups. Soluble groups -- 9. Cryptography: elliptic curves and factorization. Euler's function. Discrete logarithms. Elliptic curves. Pollard's method of factorizing integers. Elliptic curve factorization of integers. |
| 590 ## - | |
| -- | OCLC |
| -- | WorldCat Holdings |
| 590 ## - | |
| -- | eBooks on EBSCOhost |
| -- | All EBSCO eBooks |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Rings (Algebra) |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Algebraic fields. |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Anneaux (Alg�ebre) |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Corps alg�ebriques. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MATHEMATICS |
| General subdivision | Algebra |
| -- | Intermediate. |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Algebraic fields. |
| Source of heading or term | fast |
| -- | (OCoLC)fst00804931 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Rings (Algebra) |
| Source of heading or term | fast |
| -- | (OCoLC)fst01098024 |
| 650 17 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Ringen (wiskunde) |
| Source of heading or term | gtt |
| 650 17 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Veldentheorie. |
| Source of heading or term | gtt |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Corps alg�ebriques. |
| Source of heading or term | ram |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Anneaux (Alg�ebre) |
| Source of heading or term | ram |
| 653 0# - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Rings (Algebra) |
| 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 | Ellis, Graham. |
| Title | Rings and fields. |
| Place, publisher, and date of publication | Oxford [England] : Clarendon Press ; New York : Oxford University Press, 1992 |
| International Standard Book Number | 0198534558 |
| Record control number | <a href="(DLC) 92015556">(DLC) 92015556</a> |
| -- | <a href="(OCoLC)25832772">(OCoLC)25832772</a> |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Oxford science publications. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=22933 |
| 938 ## - | |
| -- | EBSCOhost |
| -- | EBSC |
| -- | 22933 |
| 938 ## - | |
| -- | ProQuest MyiLibrary Digital eBook Collection |
| -- | IDEB |
| -- | 90318 |
| 938 ## - | |
| -- | YBP Library Services |
| -- | YANK |
| -- | 2319663 |
| 994 ## - | |
| -- | 92 |
| -- | GRPAT |
Δεν υπάρχουν διαθέσιμα τεκμήρια.
