Undergraduate Algebra:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1987
|
| Schriftenreihe: | Undergraduate Texts in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book, together with Linear Algebra, constitutes a curriculum for an algebra program addressed to undergraduates. The separation of the linear algebra from the other basic algebraic structures fits all existing tendencies affecting undergraduate teaching, and I agree with these tendencies. I have made the present book self contained logically, but it is probably better if students take the linear algebra course before being introduced to the more abstract notions of groups, rings, and fields, and the systematic development of their basic abstract properties. There is of course a little overlap with the book Lin ear Algebra, since I wanted to make the present book self contained. I define vector spaces, matrices, and linear maps and prove their basic properties. The present book could be used for a one-term course, or a year's course, possibly combining it with Linear Algebra. I think it is important to do the field theory and the Galois theory, more important, say, than to do much more group theory than we have done here. There is a chapter on finite fields, which exhibit both features from general field theory, and special features due to characteristic p. Such fields have become important in coding theory |
| Beschreibung: | 1 Online-Ressource (3 illus) |
| ISBN: | 9781468492347 9781468492361 |
| ISSN: | 0172-6056 |
| DOI: | 10.1007/978-1-4684-9234-7 |
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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 | 10.1007/978-1-4684-9234-7 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:08Z |
| institution | BVB |
| isbn | 9781468492347 9781468492361 |
| issn | 0172-6056 |
| language | English |
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| publishDate | 1987 |
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| publisher | Springer New York |
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| series2 | Undergraduate Texts in Mathematics |
| spelling | Lang, Serge Verfasser aut Undergraduate Algebra by Serge Lang New York, NY Springer New York 1987 1 Online-Ressource (3 illus) txt rdacontent c rdamedia cr rdacarrier Undergraduate Texts in Mathematics 0172-6056 This book, together with Linear Algebra, constitutes a curriculum for an algebra program addressed to undergraduates. The separation of the linear algebra from the other basic algebraic structures fits all existing tendencies affecting undergraduate teaching, and I agree with these tendencies. I have made the present book self contained logically, but it is probably better if students take the linear algebra course before being introduced to the more abstract notions of groups, rings, and fields, and the systematic development of their basic abstract properties. There is of course a little overlap with the book Lin ear Algebra, since I wanted to make the present book self contained. I define vector spaces, matrices, and linear maps and prove their basic properties. The present book could be used for a one-term course, or a year's course, possibly combining it with Linear Algebra. I think it is important to do the field theory and the Galois theory, more important, say, than to do much more group theory than we have done here. There is a chapter on finite fields, which exhibit both features from general field theory, and special features due to characteristic p. Such fields have become important in coding theory Mathematics Algebra Mathematik Algebra (DE-588)4001156-2 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Algebra (DE-588)4001156-2 s 2\p DE-604 https://doi.org/10.1007/978-1-4684-9234-7 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lang, Serge Undergraduate Algebra Mathematics Algebra Mathematik Algebra (DE-588)4001156-2 gnd |
| subject_GND | (DE-588)4001156-2 (DE-588)4123623-3 |
| title | Undergraduate Algebra |
| title_auth | Undergraduate Algebra |
| title_exact_search | Undergraduate Algebra |
| title_full | Undergraduate Algebra by Serge Lang |
| title_fullStr | Undergraduate Algebra by Serge Lang |
| title_full_unstemmed | Undergraduate Algebra by Serge Lang |
| title_short | Undergraduate Algebra |
| title_sort | undergraduate algebra |
| topic | Mathematics Algebra Mathematik Algebra (DE-588)4001156-2 gnd |
| topic_facet | Mathematics Algebra Mathematik Lehrbuch |
| url | https://doi.org/10.1007/978-1-4684-9234-7 |
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