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Catalan¿s Conjecture presents this spectacular result in a way that is accessible to the advanced undergraduate. The author dissects both Mihailescüs 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.
Catalan¿s Conjecture presents this spectacular result in a way that is accessible to the advanced undergraduate. The author dissects both Mihailescüs 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.
Provides complete proofs of a spectacular recent result in number theory
Accessible to the non-specialist: requires little more than a basic mathematical background and some knowledge of elementary number theory
| Erscheinungsjahr: | 2008 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Reihe: | Universitext |
| Inhalt: |
ix
124 S. 10 s/w Illustr. 124 p. 10 illus. |
| ISBN-13: | 9781848001848 |
| ISBN-10: | 1848001843 |
| Sprache: | Englisch |
| Herstellernummer: | 12223275 |
| Einband: | Kartoniert / Broschiert |
| Autor: | Schoof, René |
| Hersteller: |
Springer
Springer London Springer-Verlag London Ltd. Universitext |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 8 mm |
| Von/Mit: | René Schoof |
| Erscheinungsdatum: | 02.12.2008 |
| Gewicht: | 0,219 kg |
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