Pell's Equation (Paperback, Softcover reprint of the original 1st ed. 2003)

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.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Problem Books in Mathematics
Release date:	December 2011
First published:	2003
Authors:	Edward J. Barbeau
Dimensions:	235 x 155 x 12mm (L x W x T)
Format:	Paperback
Pages:	212
Edition:	Softcover reprint of the original 1st ed. 2003
ISBN-13:	978-1-4419-3040-8
Categories:	Books > Science & Mathematics > Mathematics > Number theory > General Promotions
LSN:	1-4419-3040-X
Barcode:	9781441930408

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