Algebraic Structures:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Wiesbaden
Vieweg+Teubner Verlag
1995
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The laws of composition include addition and multiplication of numbers or functions. These are the basic operations of algebra. One can generalize these operations to groups where there is just one law. The theory of this book was started in 1800 by Gauss, when he solved the 2000 year-old Greek problem about constructing regular n-gons by ruler and compass. The theory was further developed by Abel and Galois. After years of development the theory was put in the present form by E. Noether and E. Artin in 1930. At that time it was called modern algebra and concentrated on the abstract exposition of the theory. Nowadays there are too many examples to go into their details. I think the student should study the proofs of the theorems and not spend time looking for solutions to tricky exercises. The exercises are designed to clarify the theory. In algebra there are four basic structures; groups, rings, fields and modules. We present the theory of these basic structures. Hopefully this will give a good introduction to modern algebra. I have assumed as background that the reader has learned linear algebra over the real numbers but this is not necessary |
| Beschreibung: | 1 Online-Ressource (IX, 166 p) |
| ISBN: | 9783322802781 9783528065836 |
| DOI: | 10.1007/978-3-322-80278-1 |
Internformat
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Datensatz im Suchindex
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| any_adam_object | |
| author | Kempf, George Rushing 1944-2002 |
| author_GND | (DE-588)1041261039 |
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| building | Verbundindex |
| bvnumber | BV042422361 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
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| 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 |
| doi_str_mv | 10.1007/978-3-322-80278-1 |
| format | Electronic eBook |
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| id | DE-604.BV042422361 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:11Z |
| institution | BVB |
| isbn | 9783322802781 9783528065836 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027857778 |
| oclc_num | 863816686 |
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| physical | 1 Online-Ressource (IX, 166 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Vieweg+Teubner Verlag |
| record_format | marc |
| spelling | Kempf, George Rushing 1944-2002 Verfasser (DE-588)1041261039 aut Algebraic Structures by George R. Kempf Wiesbaden Vieweg+Teubner Verlag 1995 1 Online-Ressource (IX, 166 p) txt rdacontent c rdamedia cr rdacarrier The laws of composition include addition and multiplication of numbers or functions. These are the basic operations of algebra. One can generalize these operations to groups where there is just one law. The theory of this book was started in 1800 by Gauss, when he solved the 2000 year-old Greek problem about constructing regular n-gons by ruler and compass. The theory was further developed by Abel and Galois. After years of development the theory was put in the present form by E. Noether and E. Artin in 1930. At that time it was called modern algebra and concentrated on the abstract exposition of the theory. Nowadays there are too many examples to go into their details. I think the student should study the proofs of the theorems and not spend time looking for solutions to tricky exercises. The exercises are designed to clarify the theory. In algebra there are four basic structures; groups, rings, fields and modules. We present the theory of these basic structures. Hopefully this will give a good introduction to modern algebra. I have assumed as background that the reader has learned linear algebra over the real numbers but this is not necessary Mathematics Algebra Mathematik Algebraische Struktur (DE-588)4001166-5 gnd rswk-swf Algebraische Struktur (DE-588)4001166-5 s 1\p DE-604 https://doi.org/10.1007/978-3-322-80278-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kempf, George Rushing 1944-2002 Algebraic Structures Mathematics Algebra Mathematik Algebraische Struktur (DE-588)4001166-5 gnd |
| subject_GND | (DE-588)4001166-5 |
| title | Algebraic Structures |
| title_auth | Algebraic Structures |
| title_exact_search | Algebraic Structures |
| title_full | Algebraic Structures by George R. Kempf |
| title_fullStr | Algebraic Structures by George R. Kempf |
| title_full_unstemmed | Algebraic Structures by George R. Kempf |
| title_short | Algebraic Structures |
| title_sort | algebraic structures |
| topic | Mathematics Algebra Mathematik Algebraische Struktur (DE-588)4001166-5 gnd |
| topic_facet | Mathematics Algebra Mathematik Algebraische Struktur |
| url | https://doi.org/10.1007/978-3-322-80278-1 |
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