Pell’s Equation:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
2003
|
| Schriftenreihe: | Problem Books in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Pell's equation is an important topic of algebraic number theory that involves quadratic forms and the structure of rings of integers in algebraic number fields. The history of this equation is long and circuitous, and involved a number of different approaches before a definitive theory was found. There were partial patterns and quite effective methods of finding solutions, but a complete theory did not emerge until the end of the eighteenth century. The topic is motivated and developed through sections of exercises which allow the student to recreate known theory and provide a focus for their algebraic practice. There are also several explorations that encourage the reader to embark on their own research. Some of these are numerical and often require the use of a calculator or computer. Others introduce relevant theory that can be followed up on elsewhere, or suggest problems that the reader may wish to pursue. A high school background in mathematics is all that is needed to get into this book, and teachers and others interested in mathematics who do not have a background in advanced mathematics may find that it is a suitable vehicle for keeping up an independent interest in the subject. Edward Barbeau is Professor of Mathematics at the University of Toronto. He has published a number of books directed to students of mathematics and their teachers, including Polynomials (Springer 1989), Power Play (MAA 1997), Fallacies, Flaws and Flimflam (MAA 1999) and After Math (Wall & Emerson, Toronto 1995) |
| Beschreibung: | 1 Online-Ressource (IX, 212 p.) 9 illus |
| ISBN: | 9780387226026 9781441930408 |
| ISSN: | 0941-3502 |
| DOI: | 10.1007/b97610 |
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| 500 | |a Pell's equation is an important topic of algebraic number theory that involves quadratic forms and the structure of rings of integers in algebraic number fields. The history of this equation is long and circuitous, and involved a number of different approaches before a definitive theory was found. There were partial patterns and quite effective methods of finding solutions, but a complete theory did not emerge until the end of the eighteenth century. The topic is motivated and developed through sections of exercises which allow the student to recreate known theory and provide a focus for their algebraic practice. There are also several explorations that encourage the reader to embark on their own research. Some of these are numerical and often require the use of a calculator or computer. Others introduce relevant theory that can be followed up on elsewhere, or suggest problems that the reader may wish to pursue. A high school background in mathematics is all that is needed to get into this book, and teachers and others interested in mathematics who do not have a background in advanced mathematics may find that it is a suitable vehicle for keeping up an independent interest in the subject. Edward Barbeau is Professor of Mathematics at the University of Toronto. He has published a number of books directed to students of mathematics and their teachers, including Polynomials (Springer 1989), Power Play (MAA 1997), Fallacies, Flaws and Flimflam (MAA 1999) and After Math (Wall & Emerson, Toronto 1995) | ||
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Datensatz im Suchindex
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| author | Barbeau, Edward J. |
| author_facet | Barbeau, Edward J. |
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| author_sort | Barbeau, Edward J. |
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| building | Verbundindex |
| bvnumber | BV042419041 |
| classification_tum | MAT 000 |
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| ctrlnum | (OCoLC)704496473 (DE-599)BVBBV042419041 |
| dewey-full | 512.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.7 |
| dewey-search | 512.7 |
| dewey-sort | 3512.7 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/b97610 |
| format | Electronic eBook |
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| id | DE-604.BV042419041 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:04Z |
| institution | BVB |
| isbn | 9780387226026 9781441930408 |
| issn | 0941-3502 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027854458 |
| oclc_num | 704496473 |
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| physical | 1 Online-Ressource (IX, 212 p.) 9 illus |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Springer New York |
| record_format | marc |
| series2 | Problem Books in Mathematics |
| spelling | Barbeau, Edward J. Verfasser aut Pell’s Equation by Edward J. Barbeau New York, NY Springer New York 2003 1 Online-Ressource (IX, 212 p.) 9 illus txt rdacontent c rdamedia cr rdacarrier Problem Books in Mathematics 0941-3502 Pell's equation is an important topic of algebraic number theory that involves quadratic forms and the structure of rings of integers in algebraic number fields. The history of this equation is long and circuitous, and involved a number of different approaches before a definitive theory was found. There were partial patterns and quite effective methods of finding solutions, but a complete theory did not emerge until the end of the eighteenth century. The topic is motivated and developed through sections of exercises which allow the student to recreate known theory and provide a focus for their algebraic practice. There are also several explorations that encourage the reader to embark on their own research. Some of these are numerical and often require the use of a calculator or computer. Others introduce relevant theory that can be followed up on elsewhere, or suggest problems that the reader may wish to pursue. A high school background in mathematics is all that is needed to get into this book, and teachers and others interested in mathematics who do not have a background in advanced mathematics may find that it is a suitable vehicle for keeping up an independent interest in the subject. Edward Barbeau is Professor of Mathematics at the University of Toronto. He has published a number of books directed to students of mathematics and their teachers, including Polynomials (Springer 1989), Power Play (MAA 1997), Fallacies, Flaws and Flimflam (MAA 1999) and After Math (Wall & Emerson, Toronto 1995) Mathematics Number theory Number Theory Mathematik Algebraische Zahlentheorie (DE-588)4001170-7 gnd rswk-swf Pell-Gleichung (DE-588)4720859-4 gnd rswk-swf Algebraische Zahlentheorie (DE-588)4001170-7 s Pell-Gleichung (DE-588)4720859-4 s 1\p DE-604 https://doi.org/10.1007/b97610 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Barbeau, Edward J. Pell’s Equation Mathematics Number theory Number Theory Mathematik Algebraische Zahlentheorie (DE-588)4001170-7 gnd Pell-Gleichung (DE-588)4720859-4 gnd |
| subject_GND | (DE-588)4001170-7 (DE-588)4720859-4 |
| title | Pell’s Equation |
| title_auth | Pell’s Equation |
| title_exact_search | Pell’s Equation |
| title_full | Pell’s Equation by Edward J. Barbeau |
| title_fullStr | Pell’s Equation by Edward J. Barbeau |
| title_full_unstemmed | Pell’s Equation by Edward J. Barbeau |
| title_short | Pell’s Equation |
| title_sort | pell s equation |
| topic | Mathematics Number theory Number Theory Mathematik Algebraische Zahlentheorie (DE-588)4001170-7 gnd Pell-Gleichung (DE-588)4720859-4 gnd |
| topic_facet | Mathematics Number theory Number Theory Mathematik Algebraische Zahlentheorie Pell-Gleichung |
| url | https://doi.org/10.1007/b97610 |
| work_keys_str_mv | AT barbeauedwardj pellsequation |