Over 10 mio. titler Fri fragt ved køb over 499,- Hurtig levering Forlænget returret til 31/01/25

The Problem of Catalan

Bog
  • Format
  • Bog, paperback
  • Engelsk

Beskrivelse

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.

Læs hele beskrivelsen
Detaljer
Størrelse og vægt
coffee cup img
10 cm
book img
15,5 cm
23,5 cm

Findes i disse kategorier...

Se andre, der handler om...

Machine Name: SAXO081