Numbers, groups and codes:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2008
|
| Ausgabe: | 2. ed., 5. printing |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVI, 338 S. graph. Darst. |
| ISBN: | 9780521540506 |
Internformat
MARC
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| 100 | 1 | |a Humphreys, J. F. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Numbers, groups and codes |c J. F. Humphreys ; M. Y. Prest |
| 250 | |a 2. ed., 5. printing | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2008 | |
| 300 | |a XVI, 338 S. |b graph. Darst. | ||
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Datensatz im Suchindex
| _version_ | 1804141080244912128 |
|---|---|
| adam_text | Contents
Preface
to first edition
page
ix
Preface to second edition
X
Introduction
xi
Advice to the reader
xiv
1
Number theory
1
1.1
The division algorithm and greatest common divisors
1
1.2
Mathematical induction
15
1.3
Primes and the Unique Factorisation Theorem
25
1.4
Congruence classes
36
1.5
Solving linear congruences
49
1.6
Euler s Theorem and public key codes
59
Summary of Chapter
1
77
2
Sets, functions and relations
78
2.1
Elementary set theory
78
2.2
Functions
86
2.3
Relations
103
2.4
Finite state machines
117
Summary of Chapter
2
126
3
Logic and mathematical argument
127
3.1
Propositional logic
128
3.2
Quantifiers
137
3.3
Some proof strategies
141
Summary of Chapter
3
146
4
Examples of groups
147
4.1
Permutations
148
4.2
The order and sign of a permutation
159
4.3
Definition and examples of groups
170
VII
viii Contents
4.4
Algebraic structures
184
Summary of Chapter
4 199
5
Group theory and error-correcting codes
200
5.1
Preliminaries
200
5.2
Cosets and Lagrange s Theorem
212
5.3
Groups of small order
219
5.4
Error-detecting and error-correcting codes
230
Summary of Chapter
5 253
6
Polynomials
255
6.1
Introduction
255
6.2
The division algorithm for polynomials
262
6.3
Factorisation
273
6.4
Polynomial congruence classes
279
6.5
Cyclic codes
284
Summary of Chapter
6 291
Appendix on complex numbers
292
Answers
296
References and further reading
323
Biography
326
Name index
331
Subject index
333
|
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| building | Verbundindex |
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| ctrlnum | (OCoLC)633738517 (DE-599)BVBBV036045744 |
| discipline | Informatik Mathematik |
| edition | 2. ed., 5. printing |
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| id | DE-604.BV036045744 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:10:11Z |
| institution | BVB |
| isbn | 9780521540506 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018937512 |
| oclc_num | 633738517 |
| open_access_boolean | |
| owner | DE-703 |
| owner_facet | DE-703 |
| physical | XVI, 338 S. graph. Darst. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| spelling | Humphreys, J. F. Verfasser aut Numbers, groups and codes J. F. Humphreys ; M. Y. Prest 2. ed., 5. printing Cambridge [u.a.] Cambridge Univ. Press 2008 XVI, 338 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Codierungstheorie (DE-588)4139405-7 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 s Codierungstheorie (DE-588)4139405-7 s DE-604 Gruppentheorie (DE-588)4072157-7 s Prest, M. Y. Verfasser aut Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018937512&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Humphreys, J. F. Prest, M. Y. Numbers, groups and codes Zahlentheorie (DE-588)4067277-3 gnd Codierungstheorie (DE-588)4139405-7 gnd Gruppentheorie (DE-588)4072157-7 gnd |
| subject_GND | (DE-588)4067277-3 (DE-588)4139405-7 (DE-588)4072157-7 |
| title | Numbers, groups and codes |
| title_auth | Numbers, groups and codes |
| title_exact_search | Numbers, groups and codes |
| title_full | Numbers, groups and codes J. F. Humphreys ; M. Y. Prest |
| title_fullStr | Numbers, groups and codes J. F. Humphreys ; M. Y. Prest |
| title_full_unstemmed | Numbers, groups and codes J. F. Humphreys ; M. Y. Prest |
| title_short | Numbers, groups and codes |
| title_sort | numbers groups and codes |
| topic | Zahlentheorie (DE-588)4067277-3 gnd Codierungstheorie (DE-588)4139405-7 gnd Gruppentheorie (DE-588)4072157-7 gnd |
| topic_facet | Zahlentheorie Codierungstheorie Gruppentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018937512&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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