The Problem of Catalan (Paperback, Softcover reprint of the original 1st ed. 2014)

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 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 Mihăilescu’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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Release date:	September 2016
First published:	2014
Authors:	Yuri F. Bilu • Yann Bugeaud • Maurice Mignotte
Dimensions:	235 x 155 x 14mm (L x W x T)
Format:	Paperback
Pages:	245
Edition:	Softcover reprint of the original 1st ed. 2014
ISBN-13:	978-3-319-36255-7
Categories:	Books > Science & Mathematics > Mathematics > Algebra > General Promotions
LSN:	3-319-36255-0
Barcode:	9783319362557

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