Concrete abstract algebra: from numbers to Gröbner bases
Concrete Abstract Algebra develops the theory of abstract algebra from numbers to Gröbner bases, whilst taking in all the usual material of a traditional introductory course. In addition there is a rich supply of topics like cryptography, factoring algorithms for integers, quadratic residues, finite...
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| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2003
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | Concrete Abstract Algebra develops the theory of abstract algebra from numbers to Gröbner bases, whilst taking in all the usual material of a traditional introductory course. In addition there is a rich supply of topics like cryptography, factoring algorithms for integers, quadratic residues, finite fields, factoring algorithms for polynomials and systems of non-linear equations. A special feature is that Gröbner bases do not appear as an isolated example. They are fully integrated as a subject that can be successfully taught in an undergraduate context. Lauritzen's approach to teaching abstract algebra is based on an extensive use of examples, applications and exercises. The basic philosophy is that inspiring, non-trivial applications and examples give motivation and ease the learning of abstract concepts. This book is built on several years of experience teaching introductory abstract algebra at Aarhus, where the emphasis on concrete and inspiring examples has improved student performance significantly. Solutions to the exercises are available to lecturers from solutions@cambridge.org |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xiv, 240 pages) |
| ISBN: | 9780511804229 |
| DOI: | 10.1017/CBO9780511804229 |
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Datensatz im Suchindex
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
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| dewey-sort | 3512 12 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511804229 |
| format | Electronic eBook |
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| id | DE-604.BV043943390 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:19Z |
| institution | BVB |
| isbn | 9780511804229 |
| language | English |
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| physical | 1 online resource (xiv, 240 pages) |
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| publishDate | 2003 |
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| publisher | Cambridge University Press |
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| spelling | Lauritzen, Niels 1964- Verfasser aut Concrete abstract algebra from numbers to Gröbner bases Niels Lauritzen Cambridge Cambridge University Press 2003 1 online resource (xiv, 240 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) Concrete Abstract Algebra develops the theory of abstract algebra from numbers to Gröbner bases, whilst taking in all the usual material of a traditional introductory course. In addition there is a rich supply of topics like cryptography, factoring algorithms for integers, quadratic residues, finite fields, factoring algorithms for polynomials and systems of non-linear equations. A special feature is that Gröbner bases do not appear as an isolated example. They are fully integrated as a subject that can be successfully taught in an undergraduate context. Lauritzen's approach to teaching abstract algebra is based on an extensive use of examples, applications and exercises. The basic philosophy is that inspiring, non-trivial applications and examples give motivation and ease the learning of abstract concepts. This book is built on several years of experience teaching introductory abstract algebra at Aarhus, where the emphasis on concrete and inspiring examples has improved student performance significantly. Solutions to the exercises are available to lecturers from solutions@cambridge.org Algebra, Abstract Universelle Algebra (DE-588)4061777-4 gnd rswk-swf Universelle Algebra (DE-588)4061777-4 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-53410-9 Erscheint auch als Druckausgabe 978-0-521-82679-2 https://doi.org/10.1017/CBO9780511804229 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lauritzen, Niels 1964- Concrete abstract algebra from numbers to Gröbner bases Algebra, Abstract Universelle Algebra (DE-588)4061777-4 gnd |
| subject_GND | (DE-588)4061777-4 |
| title | Concrete abstract algebra from numbers to Gröbner bases |
| title_auth | Concrete abstract algebra from numbers to Gröbner bases |
| title_exact_search | Concrete abstract algebra from numbers to Gröbner bases |
| title_full | Concrete abstract algebra from numbers to Gröbner bases Niels Lauritzen |
| title_fullStr | Concrete abstract algebra from numbers to Gröbner bases Niels Lauritzen |
| title_full_unstemmed | Concrete abstract algebra from numbers to Gröbner bases Niels Lauritzen |
| title_short | Concrete abstract algebra |
| title_sort | concrete abstract algebra from numbers to grobner bases |
| title_sub | from numbers to Gröbner bases |
| topic | Algebra, Abstract Universelle Algebra (DE-588)4061777-4 gnd |
| topic_facet | Algebra, Abstract Universelle Algebra |
| url | https://doi.org/10.1017/CBO9780511804229 |
| work_keys_str_mv | AT lauritzenniels concreteabstractalgebrafromnumberstogrobnerbases |