"Consecutive powers (Algebra)" . . . . . "The problem of Catalan" . "The problem of Catalan"@en . . . . . . . . . . . . . "Electronic books" . "Electronic books"@en . . . . "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."@en . . . . . . . "The Problem of Catalan" . "The Problem of Catalan"@en . "Problem of Catalan"@en . . . . . . "Catalan-Vermutung." . . "Number theory." . . "Algèbre." . . "Mathematics." . . . . "Problem solving." . . "Algebra." . . "Springer Science+Business Media." . . "Nombres, Théorie des." . . "MATHEMATICS / Algebra / Intermediate" . .