A concrete introduction to higher algebra:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
New York, NY
Springer
2009
|
| Ausgabe: | Third edition |
| Schriftenreihe: | Undergraduate texts in mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 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 | ||
| 264 | 1 | |a New York, NY |b Springer |c 2009 | |
| 300 | |a xiv, 603 Seiten |b Illustrationen | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Undergraduate texts in mathematics | |
| 650 | 4 | |a Algebra | |
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Datensatz im Suchindex
| _version_ | 1804137581595590656 |
|---|---|
| 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
|
| adam_txt |
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 |
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| dewey-ones | 512 - Algebra |
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| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| edition | Third edition |
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| illustrated | Illustrated |
| index_date | 2024-07-02T20:35:04Z |
| indexdate | 2024-07-09T21:14:34Z |
| institution | BVB |
| isbn | 9780387745275 |
| language | German |
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| physical | xiv, 603 Seiten Illustrationen |
| publishDate | 2009 |
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| series2 | Undergraduate texts in mathematics |
| spelling | Childs, Lindsay 1940- (DE-588)1055770054 aut A concrete introduction to higher algebra Lindsay N. Childs Third edition New York, NY Springer 2009 xiv, 603 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Undergraduate texts in mathematics Algebra Algebra (DE-588)4001156-2 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Algebra (DE-588)4001156-2 s DE-604 Digitalisierung UB Regensburg application/pdf 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 Inhaltsverzeichnis |
| spellingShingle | Childs, Lindsay 1940- A concrete introduction to higher algebra Algebra Algebra (DE-588)4001156-2 gnd |
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| 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_exact_search_txtP | 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 |
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