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Heights in Diophantine Geometry (New Mathematical Monographs)
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ISBN
:
9780521712293
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Publisher
:
Cambridge University Press
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Subject
:
Mathematics
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Binding
:
PAPERBACK
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Pages
:
655
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Year
:
2007
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6170.0
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Description
Diophantine geometry has been studied by number theorists for thousands of years, since the time of Pythagoras, and has continued to be a rich area of ideas such as Fermat's Last Theorem, and most recently the ABC conjecture. This monograph is a bridge between the classical theory and modern approach via arithmetic geometry. The authors provide a clear path through the subject for graduate students and researchers. They have re-examined many results and much of the literature, and provide a thorough account of several topics at a level not seen before in book form. The treatment is largely self-contained, with proofs given in full detail.
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