A concrete introduction to higher algebra:
Gespeichert in:
Beteilige Person: | |
---|---|
Format: | Buch |
Sprache: | Deutsch |
Veröffentlicht: |
New York, NY
Springer
2009
|
Ausgabe: | Third edition |
Schriftenreihe: | Undergraduate texts in mathematics
|
Schlagwörter: | |
Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016453864&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
Umfang: | xiv, 603 Seiten Illustrationen |
ISBN: | 9780387745275 |
Internformat
MARC
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245 | 1 | 0 | |a A concrete introduction to higher algebra |c Lindsay N. Childs |
250 | |a Third edition | ||
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943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-016453864 |
Datensatz im Suchindex
_version_ | 1819358085526847488 |
---|---|
adam_text | Contents
Parti Numbers
1
Numbers
...................................................... 3
2
Induction
..................................................... 9
3
Euclid s Algorithm
............................................. 27
4
Unique Factorization
........................................... 53
5
Congruence
................................................... 71
Part II Congruence classes and rings
6
Congruence Classes
............................................ 93
7
Rings and Fields
...............................................123
8
Matrices and Codes
............................................147
Part III Congruences and Groups
9
Fermat s and Euler s Theorems
..................................171
10
Applications of Euler s Theorem
.................................201
11
Groups
.......................................................223
12
The Chinese Remainder Theorem
................................253
PartrV Polynomials
13
Polynomials
...................................................285
14
Unique Factorization
...........................................295
xiii
xiv Contents
15 The Fundamental Theorem
of
Algebra...........................307
16
Polynomials
in Q[x].............................................339
17
Congruences and the
Chinese
Remainder
Theorem................355
18 Fast
Polynomial Multiplication..................................
373
Part V
Primitive
Roots
19
Cyclic Groups and Cryptography
................................387
20
Carmichael Numbers
...........................................413
21
Quadratic Reciprocity
..........................................433
22
Quadratic Applications
.........................................459
Part VI Finite Fields
23
Congruence Classes Modulo a Polynomial
........................479
24
Homomorphisms and Finite Fields
...............................495
25
BCH Codes
....................................................511
Part
VII
Factoring Polynomials
26 Factoringin
Ћ[х]...............................................
531
27
Irreducible Polynomials
.........................................557
Answers and Hints to the Exercises
...................................569
References
.........................................................595
Index
.............................................................599
|
any_adam_object | 1 |
author | Childs, Lindsay 1940- |
author_GND | (DE-588)1055770054 |
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bvnumber | BV023268810 |
callnumber-first | Q - Science |
callnumber-label | QA155 |
callnumber-raw | QA155 |
callnumber-search | QA155 |
callnumber-sort | QA 3155 |
callnumber-subject | QA - Mathematics |
classification_rvk | SK 200 SK 230 |
classification_tum | MAT 110f |
ctrlnum | (OCoLC)173498962 (DE-599)BVBBV023268810 |
dewey-full | 512 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 512 - Algebra |
dewey-raw | 512 |
dewey-search | 512 |
dewey-sort | 3512 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
edition | Third edition |
format | Book |
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genre | (DE-588)4123623-3 Lehrbuch gnd-content |
genre_facet | Lehrbuch |
id | DE-604.BV023268810 |
illustrated | Illustrated |
indexdate | 2024-12-20T13:12:10Z |
institution | BVB |
isbn | 9780387745275 |
language | German |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016453864 |
oclc_num | 173498962 |
open_access_boolean | |
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owner_facet | DE-20 DE-355 DE-BY-UBR DE-11 DE-29T DE-188 DE-83 |
physical | xiv, 603 Seiten Illustrationen |
publishDate | 2009 |
publishDateSearch | 2009 |
publishDateSort | 2009 |
publisher | Springer |
record_format | marc |
series2 | Undergraduate texts in mathematics |
spellingShingle | Childs, Lindsay 1940- A concrete introduction to higher algebra Algebra Algebra (DE-588)4001156-2 gnd |
subject_GND | (DE-588)4001156-2 (DE-588)4123623-3 |
title | A concrete introduction to higher algebra |
title_auth | A concrete introduction to higher algebra |
title_exact_search | A concrete introduction to higher algebra |
title_full | A concrete introduction to higher algebra Lindsay N. Childs |
title_fullStr | A concrete introduction to higher algebra Lindsay N. Childs |
title_full_unstemmed | A concrete introduction to higher algebra Lindsay N. Childs |
title_short | A concrete introduction to higher algebra |
title_sort | a concrete introduction to higher algebra |
topic | Algebra Algebra (DE-588)4001156-2 gnd |
topic_facet | Algebra Lehrbuch |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016453864&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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