| 书目名称 | Pell’s Equation | | 编辑 | Edward J. Barbeau | | 视频video | | | 概述 | Includes supplementary material: | | 丛书名称 | Problem Books in Mathematics | | 图书封面 |  | | 描述 | 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. | | 出版日期 | Book 2003 | | 关键词 | algebra; algebraic number field; algebraic number theory; diophantine equation; number theory; quadratic | | 版次 | 1 | | doi | https://doi.org/10.1007/b97610 | | isbn_softcover | 978-1-4419-3040-8 | | isbn_ebook | 978-0-387-22602-6Series ISSN 0941-3502 Series E-ISSN 2197-8506 | | issn_series | 0941-3502 | | copyright | Springer Science+Business Media New York 2003 |
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发表于 2025-3-21 19:48:32
