Applications Of Diophantine Approximation To Integral Points And Transcendence
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Applications Of Diophantine Approximation To Integral Points And Transcendence
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Author : Pietro Corvaja
language : en
Publisher: Cambridge University Press
Release Date : 2018-05-03
Applications Of Diophantine Approximation To Integral Points And Transcendence written by Pietro Corvaja and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-03 with Mathematics categories.
Introduction to Diophantine approximation and equations focusing on Schmidt's subspace theorem, with applications to transcendence.
Applications Of Diophantine Approximation To Integral Points And Transcendence
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Author : Pietro Corvaja
language : en
Publisher: Cambridge University Press
Release Date : 2018-05-03
Applications Of Diophantine Approximation To Integral Points And Transcendence written by Pietro Corvaja and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-03 with Mathematics categories.
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.
Transcendence And Linear Relations Of 1 Periods
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Author : Annette Huber
language : en
Publisher: Cambridge University Press
Release Date : 2022-05-26
Transcendence And Linear Relations Of 1 Periods written by Annette Huber and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-26 with Mathematics categories.
Leading experts explore the relation between periods and transcendental numbers, using a modern approach derived from the theory of motives.
Point Counting And The Zilber Pink Conjecture
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Author : Jonathan Pila
language : en
Publisher: Cambridge University Press
Release Date : 2022-06-09
Point Counting And The Zilber Pink Conjecture written by Jonathan Pila and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-09 with Mathematics categories.
Explores the recent spectacular applications of point-counting in o-minimal structures to functional transcendence and diophantine geometry.
Transcendental Number Theory
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Author : Alan Baker
language : en
Publisher: Cambridge University Press
Release Date : 2022-06-09
Transcendental Number Theory written by Alan Baker and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-09 with Computers categories.
Alan Baker's systematic account of transcendental number theory, with a new introduction and afterword explaining recent developments.
Noncommutative Function Theoretic Operator Theory And Applications
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Author : Joseph A. Ball
language : en
Publisher: Cambridge University Press
Release Date : 2021-12-16
Noncommutative Function Theoretic Operator Theory And Applications written by Joseph A. Ball and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-16 with Mathematics categories.
This concise volume shows how ideas from function and systems theory lead to new insights for noncommutative multivariable operator theory.
Large Deviations For Markov Chains
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Author : Alejandro D. de Acosta
language : en
Publisher:
Release Date : 2022-10-12
Large Deviations For Markov Chains written by Alejandro D. de Acosta and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-12 with Mathematics categories.
This book studies the large deviations for empirical measures and vector-valued additive functionals of Markov chains with general state space. Under suitable recurrence conditions, the ergodic theorem for additive functionals of a Markov chain asserts the almost sure convergence of the averages of a real or vector-valued function of the chain to the mean of the function with respect to the invariant distribution. In the case of empirical measures, the ergodic theorem states the almost sure convergence in a suitable sense to the invariant distribution. The large deviation theorems provide precise asymptotic estimates at logarithmic level of the probabilities of deviating from the preponderant behavior asserted by the ergodic theorems.
The Mordell Conjecture
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Author : Hideaki Ikoma
language : en
Publisher: Cambridge University Press
Release Date : 2022-02-03
The Mordell Conjecture written by Hideaki Ikoma and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-03 with Mathematics categories.
This book provides a self-contained proof of the Mordell conjecture (Faltings's theorem) and a concise introduction to Diophantine geometry.
Fractional Sobolev Spaces And Inequalities
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Author : D. E. Edmunds
language : en
Publisher: Cambridge University Press
Release Date : 2022-10-13
Fractional Sobolev Spaces And Inequalities written by D. E. Edmunds and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-13 with Mathematics categories.
Provides an account of fractional Sobolev spaces emphasising applications to famous inequalities. Ideal for graduates and researchers.
Families Of Varieties Of General Type
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Author : János Kollár
language : en
Publisher: Cambridge University Press
Release Date : 2023-04-20
Families Of Varieties Of General Type written by János Kollár and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-20 with Mathematics categories.
The first complete treatment of the moduli theory of varieties of general type, laying foundations for future research.