The Problem of Catalan

Gebonden

€ 109,15

Afwijkende levertijd: 10-12 werkdagen
The Problem of Catalan

Gebonden

€ 109,15

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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 Mihailescu. In other words, 3<>2 - 2<>3 = 1 is the only solution of the equation x<>p - y<>q = 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 Mihailescu's 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.
ISBN
9783319100937
Vorm
Gebonden
Uitgever
Springer International Publishing
Druk
1e
Verschenen
01-01-2014
Taal
Engels
Genre
Geografie & Landbouw
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