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  3. Applications of Diophantine Approximation to Integral Points and Transcendence
  • Cited by 11
Publisher:
Cambridge University Press
Online publication date:
June 2018
Print publication year:
2018
Online ISBN:
9781108348096
DOI:
https://doi.org/10.1017/9781108348096
Subjects:
Mathematics (general), Mathematics, Number Theory, Geometry and Topology
Series:
Cambridge Tracts in Mathematics (212)
Information

Book description

This introduction to the theory of Diophantine approximation pays special regard to Schmidt's subspace theorem and to its applications to Diophantine equations and related topics. The geometric viewpoint on Diophantine equations has been adopted throughout the book. It includes a number of results, some published here for the first time in book form, and some new, as well as classical material presented in an accessible way. Graduate students and experts alike will find the book's broad approach useful for their work, and will discover new techniques and open questions to guide their research. It contains concrete examples and many exercises (ranging from the relatively simple to the much more complex), making it ideal for self-study and enabling readers to quickly grasp the essential concepts.

Reviews

'Researchers new to Diophantine approximation and experts alike will find this volume to be an essential account of this time-honored subject.'

Matthew A. Papanikolas Source: MathsSciNet

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