Rings and factorization:
This textbook is an introduction to the concept of factorization and its application to problems in algebra and number theory. With the minimum of prerequisites, the reader is introduced to the notion of rings, fields, prime elements and unique factorization. The author shows how concepts can be app...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1987
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | This textbook is an introduction to the concept of factorization and its application to problems in algebra and number theory. With the minimum of prerequisites, the reader is introduced to the notion of rings, fields, prime elements and unique factorization. The author shows how concepts can be applied to a variety of examples such as factorizing polynomials, finding determinants of matrices and Fermat's 'two-squares theorem'. Based on an undergraduate course given at the University of Sheffield, Dr Sharpe has included numerous examples which demonstrate how frequently these ideas are useful in concrete, rather than abstract, settings. The book also contains many exercises of varying degrees of difficulty together with hints and solutions. Second and third year undergraduates will find this a readable and enjoyable account of a subject lying at the heart of much of mathematics |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (ix, 111 pages) |
| ISBN: | 9780511565960 |
| DOI: | 10.1017/CBO9780511565960 |
Internformat
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| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 520 | |a This textbook is an introduction to the concept of factorization and its application to problems in algebra and number theory. With the minimum of prerequisites, the reader is introduced to the notion of rings, fields, prime elements and unique factorization. The author shows how concepts can be applied to a variety of examples such as factorizing polynomials, finding determinants of matrices and Fermat's 'two-squares theorem'. Based on an undergraduate course given at the University of Sheffield, Dr Sharpe has included numerous examples which demonstrate how frequently these ideas are useful in concrete, rather than abstract, settings. The book also contains many exercises of varying degrees of difficulty together with hints and solutions. Second and third year undergraduates will find this a readable and enjoyable account of a subject lying at the heart of much of mathematics | ||
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Datensatz im Suchindex
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| author | Sharpe, D. W. |
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| dewey-full | 512/.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
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| dewey-search | 512/.4 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511565960 |
| format | Electronic eBook |
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| spelling | Sharpe, D. W. Verfasser aut Rings and factorization David Sharpe Rings & Factorization Cambridge Cambridge University Press 1987 1 online resource (ix, 111 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) This textbook is an introduction to the concept of factorization and its application to problems in algebra and number theory. With the minimum of prerequisites, the reader is introduced to the notion of rings, fields, prime elements and unique factorization. The author shows how concepts can be applied to a variety of examples such as factorizing polynomials, finding determinants of matrices and Fermat's 'two-squares theorem'. Based on an undergraduate course given at the University of Sheffield, Dr Sharpe has included numerous examples which demonstrate how frequently these ideas are useful in concrete, rather than abstract, settings. The book also contains many exercises of varying degrees of difficulty together with hints and solutions. Second and third year undergraduates will find this a readable and enjoyable account of a subject lying at the heart of much of mathematics Rings (Algebra) Factorization (Mathematics) Ring Mathematik (DE-588)4128084-2 gnd rswk-swf Faktorisierung (DE-588)4128927-4 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Faktorisierung (DE-588)4128927-4 s Ring Mathematik (DE-588)4128084-2 s 2\p DE-604 Erscheint auch als Druckausgabe 978-0-521-33072-5 Erscheint auch als Druckausgabe 978-0-521-33718-2 https://doi.org/10.1017/CBO9780511565960 Verlag URL des Erstveröffentlichers 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 | Sharpe, D. W. Rings and factorization Rings (Algebra) Factorization (Mathematics) Ring Mathematik (DE-588)4128084-2 gnd Faktorisierung (DE-588)4128927-4 gnd |
| subject_GND | (DE-588)4128084-2 (DE-588)4128927-4 (DE-588)4151278-9 |
| title | Rings and factorization |
| title_alt | Rings & Factorization |
| title_auth | Rings and factorization |
| title_exact_search | Rings and factorization |
| title_full | Rings and factorization David Sharpe |
| title_fullStr | Rings and factorization David Sharpe |
| title_full_unstemmed | Rings and factorization David Sharpe |
| title_short | Rings and factorization |
| title_sort | rings and factorization |
| topic | Rings (Algebra) Factorization (Mathematics) Ring Mathematik (DE-588)4128084-2 gnd Faktorisierung (DE-588)4128927-4 gnd |
| topic_facet | Rings (Algebra) Factorization (Mathematics) Ring Mathematik Faktorisierung Einführung |
| url | https://doi.org/10.1017/CBO9780511565960 |
| work_keys_str_mv | AT sharpedw ringsandfactorization AT sharpedw ringsfactorization |