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
|
LSN: |
1-4419-3040-X |
Barcode: |
9781441930408 |
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