Field Theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1995
|
| Series: | Graduate Texts in Mathematics
158 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | Intended for graduate courses or for independent study, this book presents the basic theory of fields. The first part begins with a discussion of polynomials over a ring, the division algorithm, irreducibility, field extensions, and embeddings. The second part is devoted to Galois theory. The third part of the book treats the theory of binomials. The book concludes with a chapter on families of binomials - the Kummer theory |
| Physical Description: | 1 Online-Ressource (292p) |
| ISBN: | 9781461225164 9780387944081 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4612-2516-4 |
Staff View
MARC
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Record in the Search Index
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| author | Roman, Steven |
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| dewey-full | 512 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-2516-4 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:06Z |
| institution | BVB |
| isbn | 9781461225164 9780387944081 |
| issn | 0072-5285 |
| language | English |
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| physical | 1 Online-Ressource (292p) |
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| publishDate | 1995 |
| publishDateSearch | 1995 |
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| publisher | Springer New York |
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| series2 | Graduate Texts in Mathematics |
| spelling | Roman, Steven Verfasser aut Field Theory by Steven Roman New York, NY Springer New York 1995 1 Online-Ressource (292p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 158 0072-5285 Intended for graduate courses or for independent study, this book presents the basic theory of fields. The first part begins with a discussion of polynomials over a ring, the division algorithm, irreducibility, field extensions, and embeddings. The second part is devoted to Galois theory. The third part of the book treats the theory of binomials. The book concludes with a chapter on families of binomials - the Kummer theory Mathematics Algebra Number theory Number Theory Mathematik Feldtheorie (DE-588)4016698-3 gnd rswk-swf Galois-Theorie (DE-588)4155901-0 gnd rswk-swf Polynom (DE-588)4046711-9 gnd rswk-swf Körper Algebra (DE-588)4308063-7 gnd rswk-swf Körpertheorie (DE-588)4164455-4 gnd rswk-swf Körper Algebra (DE-588)4308063-7 s Feldtheorie (DE-588)4016698-3 s Galois-Theorie (DE-588)4155901-0 s 1\p DE-604 Polynom (DE-588)4046711-9 s 2\p DE-604 Körpertheorie (DE-588)4164455-4 s 3\p DE-604 https://doi.org/10.1007/978-1-4612-2516-4 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Roman, Steven Field Theory Mathematics Algebra Number theory Number Theory Mathematik Feldtheorie (DE-588)4016698-3 gnd Galois-Theorie (DE-588)4155901-0 gnd Polynom (DE-588)4046711-9 gnd Körper Algebra (DE-588)4308063-7 gnd Körpertheorie (DE-588)4164455-4 gnd |
| subject_GND | (DE-588)4016698-3 (DE-588)4155901-0 (DE-588)4046711-9 (DE-588)4308063-7 (DE-588)4164455-4 |
| title | Field Theory |
| title_auth | Field Theory |
| title_exact_search | Field Theory |
| title_full | Field Theory by Steven Roman |
| title_fullStr | Field Theory by Steven Roman |
| title_full_unstemmed | Field Theory by Steven Roman |
| title_short | Field Theory |
| title_sort | field theory |
| topic | Mathematics Algebra Number theory Number Theory Mathematik Feldtheorie (DE-588)4016698-3 gnd Galois-Theorie (DE-588)4155901-0 gnd Polynom (DE-588)4046711-9 gnd Körper Algebra (DE-588)4308063-7 gnd Körpertheorie (DE-588)4164455-4 gnd |
| topic_facet | Mathematics Algebra Number theory Number Theory Mathematik Feldtheorie Galois-Theorie Polynom Körper Algebra Körpertheorie |
| url | https://doi.org/10.1007/978-1-4612-2516-4 |
| work_keys_str_mv | AT romansteven fieldtheory |