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Beschreibung
Pell's equation is part of a central area of algebraic number theory that treats quadratic forms and the structure of the rings of integers in algebraic number fields. It is an ideal topic to lead college students, as well as some talented and motivated high school students, to a better appreciation of the power of mathematical technique. Even at the specific level of quadratic diophantine… equations, there are unsolved problems, and the higher degree analogues of Pell's equation, particularly beyond the third, do not appear to have been well studied. In this focused exercise book, the topic is motivated and developed through sections of exercises which will allow the readers to recreate known theory and provide a focus for their algebraic practice. There are several explorations that encourage the reader to embark on their own research. 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 (or have forgotten) a background in advanced mathematics may find that it is a suitable vehicle for keeping up an independent interest in the subject. 90,94 €
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Technische Daten
Erscheinungsdatum
14.12.2011
Sprache
Englisch
EAN
9781441930408
Herausgeber
Springer US
Serien- oder Bandtitel
Problem Books in Mathematics
Sonderedition
Nein
Autor
Edward J. Barbeau
Seitenanzahl
212
Einbandart
Broschiert
Schlagwörter
algebra, algebraic number field, algebraic number theory, diophantine equation, number theory, quadratic form
Thema-Inhalt
PBH - Zahlentheorie
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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