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Více informací o knize Problem of Catalan

• Parametry knihy
• Anotace
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Anotace knihy

In 1842 the Belgian mathematician Eugčne 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 x^p - y^q = 1 in integers x, y, p, q with xy ż 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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Algebra

• Plný název: Problem of Catalan
• Autor: Yuri F. Bilu, Yann Bugeaud, Maurice Mignotte
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 245
• EAN: 9783319362557
• ISBN: 3319362550
• ID: 14208481
• Nakladatelství: Springer International Publishing AG
• Hmotnost: 3985 g
• Rozměry: 235 × 155 × 15 mm
• Datum vydání: 10. September 2016

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