First course in algebra and number theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Acad. Press
1971
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 547 S. graph. Darst. |
Internformat
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| 245 | 1 | 0 | |a First course in algebra and number theory |c Edwin Weiss |
| 264 | 1 | |a New York [u.a.] |b Acad. Press |c 1971 | |
| 300 | |a XI, 547 S. |b graph. Darst. | ||
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Datensatz im Suchindex
| _version_ | 1804119878523682816 |
|---|---|
| adam_text | CONTENTS
Preface ix
I. Elementary Number Theory
1 1. Divisibility 2
1 2. The Division Algorithm 6
1 3. The Greatest Common Divisor 13
1 4. Unique Factorization 21
1 5. A Convenient Notation 28
1 6. Linear Diophantine Equations 42
1 7. Congruence 50
1 8. Radix Representation 64
Miscellaneous Problems 83
II. Rings and Domains
2 1. Rings: Elementary Properties 91
2 2. Examples 104
2 3. Ordered and Well Ordered Domains 138
2 4. Computation Rules 160
2 5. Characterization of the Integers 174
Miscellaneous Problems 199
vii
VUi CONTENTS
III. Congruences and Polynomials
3 1. Linear Congruences 211
3 2. Units and Fields 230
3 3. Polynomials and Polynomial Functions 253
3 4. Factorization in F[x] 274
3 5. Roots of Polynomials 294
3 6. Solving Polynomials in Z.m[x] 322
3 7. Quadratic Reciprocity 340
Miscellaneous Problems 365
IV. Groups
4 1. Basic Facts and Examples 381
4 2. Subgroups and Cosets 401
4 3. Cyclic Groups 421
4 4. Normal Subgroups; Factor Groups; Homomorphisms 439
4 5. Permutation Groups 460
4 6. The Group Z* 490
Miscellaneous Problems 508
Selected Answers and Comments 521
Subject Index 543
|
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| indexdate | 2024-07-09T16:33:11Z |
| institution | BVB |
| language | English |
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| physical | XI, 547 S. graph. Darst. |
| publishDate | 1971 |
| publishDateSearch | 1971 |
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| publisher | Acad. Press |
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| spelling | Weiss, Edwin Verfasser (DE-588)117726842 aut First course in algebra and number theory Edwin Weiss New York [u.a.] Acad. Press 1971 XI, 547 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Algèbre ram Nombres, Théorie des ram algèbre inriac théorie nombre inriac Algebra (DE-588)4001156-2 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Zahlentheorie (DE-588)4067277-3 s DE-604 Algebra (DE-588)4001156-2 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003554390&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Weiss, Edwin First course in algebra and number theory Algèbre ram Nombres, Théorie des ram algèbre inriac théorie nombre inriac Algebra (DE-588)4001156-2 gnd Zahlentheorie (DE-588)4067277-3 gnd |
| subject_GND | (DE-588)4001156-2 (DE-588)4067277-3 (DE-588)4151278-9 |
| title | First course in algebra and number theory |
| title_auth | First course in algebra and number theory |
| title_exact_search | First course in algebra and number theory |
| title_full | First course in algebra and number theory Edwin Weiss |
| title_fullStr | First course in algebra and number theory Edwin Weiss |
| title_full_unstemmed | First course in algebra and number theory Edwin Weiss |
| title_short | First course in algebra and number theory |
| title_sort | first course in algebra and number theory |
| topic | Algèbre ram Nombres, Théorie des ram algèbre inriac théorie nombre inriac Algebra (DE-588)4001156-2 gnd Zahlentheorie (DE-588)4067277-3 gnd |
| topic_facet | Algèbre Nombres, Théorie des algèbre théorie nombre Algebra Zahlentheorie Einführung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003554390&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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