Eugene Charles Catalan made his famous conjecture - that 8 and 9
are the only two consecutive perfect powers of natural numbers - in
1844 in a letter to the editor of Crelle's mathematical journal.
One hundred and fifty-eight years later, Preda Mihailescu proved
it.
Catalan's Conjecture presents this spectacular result in a way
that is accessible to the advanced undergraduate. The author
dissects both Mihailescu's proof and the earlier work it made use
of, taking great care to select streamlined and transparent
versions of the arguments and to keep the text self-contained. Only
in the proof of Thaine's theorem is a little class field theory
used; it is hoped that this application will motivate the
interested reader to study the theory further.
Beautifully clear and concise, this book will appeal not only to
specialists in number theory but to anyone interested in seeing the
application of the ideas of algebraic number theory to a famous
mathematical problem."
General
Imprint: |
Springer London
|
Country of origin: |
United Kingdom |
Series: |
Universitext |
Release date: |
December 2008 |
First published: |
2009 |
Authors: |
Rene Schoof
|
Dimensions: |
235 x 155 x 8mm (L x W x T) |
Format: |
Paperback
|
Pages: |
124 |
Edition: |
2009 ed. |
ISBN-13: |
978-1-84800-184-8 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Number theory >
General
|
LSN: |
1-84800-184-3 |
Barcode: |
9781848001848 |
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