The problem of catalan [Documento electrónico] / Yuri F. Bilu, Yann Bugeaud, Maurice Mignotte
Language: eng - inglesa.Country: Germany.Publication: Cham : Springer International Publishing, 2014Description: XIV, 245 p. : il.ISBN: 978-3-319-10094-4.Subject - Topical Name: Resolução de problemas Online Resources:Click here to access online| Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA63.SPR FCT 82107 (Browse shelf) | 1 | Available |
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| QA43.SPR FCT 97414 Mathematical tapas | QA56.SPR FCT 96144 The arithmetic of fundamental groups | QA63.SPR FCT 80835 Mathematics as problem solving | QA63.SPR FCT 82107 The problem of catalan | QA69.SPR FCT 96537 Birational geometry of foliations | QA71.SPR FCT Numerical geometry, grid generation and scientific computing | QA71.SPR FCT Learning and intelligent optimization |
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In 1842 the Belgian mathematician Eugène Charles Catalan asked whether 8 and 9 are the only consecutive pure powers of non-zero integers. 160 years after, the question was answered affirmatively by the Swiss mathematician of Romanian origin Preda Mihăilescu. In this book we give a complete and (almost) self-contained exposition of Mihăilescu’s work, which must be understandable by a curious university student, not necessarily specializing in Number Theory. We assume very modest background: a standard university course of algebra, including basic Galois theory, and working knowledge of basic algebraic number theory.
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