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