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The Problem of Catalan

- Bugeaud, Y: Problem of Catalan (Softcover Repri)

Bog
  • Format
  • Bog, paperback
  • Engelsk

Beskrivelse

In 1842 the Belgian mathematician Eugene 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.

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  • Vægt3985 g
  • Dybde1,4 cm
  • coffee cup img
    10 cm
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    15,5 cm
    23,5 cm

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