The Problem of Catalan Paperback / softback
by Yuri F. Bilu, Yann Bugeaud, Maurice Mignotte
Paperback / softback
Description
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, 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 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.
Information
-
Out of stock
- Format:Paperback / softback
- Pages:245 pages, 3 Illustrations, black and white; XIV, 245 p. 3 illus.
- Publisher:Springer International Publishing AG
- Publication Date:10/09/2016
- Category:
- ISBN:9783319362557
Other Formats
- PDF from £38.24
Information
-
Out of stock
- Format:Paperback / softback
- Pages:245 pages, 3 Illustrations, black and white; XIV, 245 p. 3 illus.
- Publisher:Springer International Publishing AG
- Publication Date:10/09/2016
- Category:
- ISBN:9783319362557
