The Problem of Catalan

Name: The Problem of Catalan
Brand: Springer International Publishing
SKU: 03812091

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3876008The Problem of Catalanhttps://www.gandhi.com.mx/the-problem-of-catalan-9783319100944/phttps://gandhi.vtexassets.com/arquivos/ids/3407002/bbef0ff5-fd61-4613-ac44-41064b86e6d0.jpg?v=6383853302598700009761084MXNSpringer International PublishingInStock/Ebooks/In 1842 the Belgian mathematician Eugne 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 Mihailescu. In other words, 32 23 1 is the only solution of the equation xp yq 1 in integers x, y, p, q with xy ? 0 and p, q 2.In this book we give a complete and (almost) self-contained exposition of Mihailescus work, which must be understandable by a curious university student, not necessarily specializing in Number Theory. We assume a very modest background:a standard university course of algebra, including basic Galois theory, and working knowledge of basic algebraic number theory....3812091The Problem of Catalan9761084https://www.gandhi.com.mx/the-problem-of-catalan-9783319100944/phttps://gandhi.vtexassets.com/arquivos/ids/3407002/bbef0ff5-fd61-4613-ac44-41064b86e6d0.jpg?v=638385330259870000InStockMXN99999DIEbook20149783319100944_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9783319100944_In 1842 the Belgian mathematician Eugne 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 Mihailescu. In other words, 32 23 1 is the only solution of the equation xp yq 1 in integers x, y, p, q with xy ? 0 and p, q 2.In this book we give a complete and (almost) self-contained exposition of Mihailescus work, which must be understandable by a curious university student, not necessarily specializing in Number Theory. We assume a very modest background:a standard university course of algebra, including basic Galois theory, and working knowledge of basic algebraic number theory.(*_*)9783319100944_In 1842 the Belgian mathematician Eugne 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 Mihailescu. In other words, 32 23 1 is the only solution of the equation xp yq 1 in integers x, y, p, q with xy ? 0 and p, q 2.In this book we give a complete and (almost) self-contained exposition of Mihailescus work, which must be understandable by a curious university student, not necessarily specializing in Number Theory. We assume a very modest background:a standard university course of algebra, including basic Galois theory, and working knowledge of basic algebraic number theory....9783319100944_Springer International Publishinglibro_electonico_09904adc-1b99-3c60-8f60-49adc645b229_9783319100944;9783319100944_9783319100944Yuri F.InglésMéxico2014-10-09T00:00:00+00:00Springer International Publishing