LOGARITHMIC FORMS AND DIOPHANTINE GEOMETRY

Name: LOGARITHMIC FORMS AND DIOPHANTINE GEOMETRY
Brand: CAMBRIDGE UNIVERSITY PRESS
SKU: 355223
Price: 186.45 EUR
Availability: InStock

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186,45 €

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Status dobavljivosti: 7-10 delovnih dni

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ISBN

9780521882682

Mladinska knjiga ID

355223

Velikost (šxdxv)

150 × 200 × 10

Status dobavljivosti

7-10 delovnih dni

Jezik

ANG

Teža

300 g

Založnik

CAMBRIDGE UNIVERSITY PRESS

Avtor

ALAN BAKER

Opis

There is now much interplay between studies on logarithmic forms and deep aspects of arithmetic algebraic geometry. New light has been shed, for instance, on the famous conjectures of Tate and Shafarevich relating to abelian varieties and the associated celebrated discoveries of Faltings establishing the Mordell conjecture. This book gives an account of the theory of linear forms in the logarithms of algebraic numbers with special emphasis on the important developments of the past twenty-five years. The first part covers basic material in transcendental number theory but with a modern perspective. The remainder assumes some background in Lie algebras and group varieties, and covers, in some instances for the first time in book form, several advanced topics. The final chapter summarises other aspects of Diophantine geometry including hypergeometric theory and the André-Oort conjecture. A comprehensive bibliography rounds off this definitive survey of effective methods in Diophantine geometry.