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Applications of Diophantine Approximation to Integral Points and Transcendence
Pietro Corvaja
Umberto Zannier
出版
Cambridge University Press
, 2018-05-03
主題
Mathematics / Geometry / Algebraic
Mathematics / Geometry / Analytic
Mathematics / Number Theory
Mathematics / Functional Analysis
ISBN
1108424945
9781108424943
URL
http://books.google.com.hk/books?id=lSVTDwAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
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.