An Introduction To Diophantine Approximation
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An Introduction To Diophantine Approximation
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Author :
language : en
Publisher: CUP Archive
Release Date :
An Introduction To Diophantine Approximation written by and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
An Introduction To Diophantine Approximation
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Author : J. W. S. Cassels
language : en
Publisher:
Release Date : 2003-01-01
An Introduction To Diophantine Approximation written by J. W. S. Cassels and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-01 with categories.
Introduction To Diophantine Approximations
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Author : Serge Lang
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Introduction To Diophantine Approximations written by Serge Lang and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The aim of this book is to illustrate by significant special examples three aspects of the theory of Diophantine approximations: the formal relationships that exist between counting processes and the functions entering the theory; the determination of these functions for numbers given as classical numbers; and certain asymptotic estimates holding almost everywhere. Each chapter works out a special case of a much broader general theory, as yet unknown. Indications for this are given throughout the book, together with reference to current publications. The book may be used in a course in number theory, whose students will thus be put in contact with interesting but accessible problems on the ground floor of mathematics.
Diophantine Approximations
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Author : Ivan Niven
language : en
Publisher: Courier Corporation
Release Date : 2013-01-23
Diophantine Approximations written by Ivan Niven and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-23 with Mathematics categories.
This self-contained treatment covers approximation of irrationals by rationals, product of linear forms, multiples of an irrational number, approximation of complex numbers, and product of complex linear forms. 1963 edition.
Diophantine Approximations And Diophantine Equations
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Author : Wolfgang M. Schmidt
language : en
Publisher: Springer
Release Date : 2006-12-08
Diophantine Approximations And Diophantine Equations written by Wolfgang M. Schmidt and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-08 with Mathematics categories.
"This book by a leading researcher and masterly expositor of the subject studies diophantine approximations to algebraic numbers and their applications to diophantine equations. The methods are classical, and the results stressed can be obtained without much background in algebraic geometry. In particular, Thue equations, norm form equations and S-unit equations, with emphasis on recent explicit bounds on the number of solutions, are included. The book will be useful for graduate students and researchers." (L'Enseignement Mathematique) "The rich Bibliography includes more than hundred references. The book is easy to read, it may be a useful piece of reading not only for experts but for students as well." Acta Scientiarum Mathematicarum
Introduction To Diophantine Approximations
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Author : Serge Lang
language : en
Publisher:
Release Date : 1995
Introduction To Diophantine Approximations written by Serge Lang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
Diophantine Approximation
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Author : Wolfgang M. Schmidt
language : en
Publisher:
Release Date : 1970
Diophantine Approximation written by Wolfgang M. Schmidt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Diophantine analysis categories.
Probabilistic Diophantine Approximation
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Author : József Beck
language : en
Publisher: Springer
Release Date : 2014-10-06
Probabilistic Diophantine Approximation written by József Beck and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-06 with Mathematics categories.
This book gives a comprehensive treatment of random phenomena and distribution results in diophantine approximation, with a particular emphasis on quadratic irrationals. It covers classical material on the subject as well as many new results developed by the author over the past decade. A range of ideas from other areas of mathematics are brought to bear with surprising connections to topics such as formulae for class numbers, special values of L-functions, and Dedekind sums. Care is taken to elaborate difficult proofs by motivating major steps and accompanying them with background explanations, enabling the reader to learn the theory and relevant techniques. Written by one of the acknowledged experts in the field, Probabilistic Diophantine Approximation is presented in a clear and informal style with sufficient detail to appeal to both advanced students and researchers in number theory.
Metric Diophantine Approximation On Manifolds
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Author : V. I. Bernik
language : en
Publisher: Cambridge University Press
Release Date : 1999-10-14
Metric Diophantine Approximation On Manifolds written by V. I. Bernik 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 1999-10-14 with Mathematics categories.
This book is concerned with Diophantine approximation on smooth manifolds embedded in Euclidean space, and its aim is to develop a coherent body of theory comparable with that which already exists for classical Diophantine approximation. In particular, this book deals with Khintchine-type theorems and with the Hausdorff dimension of the associated null sets. All researchers with an interest in Diophantine approximation will welcome this book.
Diophantine Approximation And Dirichlet Series
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Author : Herve Queffelec
language : en
Publisher: Springer
Release Date : 2013-08-30
Diophantine Approximation And Dirichlet Series written by Herve Queffelec and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-30 with Mathematics categories.
This self-contained book will benefit beginners as well as researchers. It is devoted to Diophantine approximation, the analytic theory of Dirichlet series, and some connections between these two domains, which often occur through the Kronecker approximation theorem. Accordingly, the book is divided into seven chapters, the first three of which present tools from commutative harmonic analysis, including a sharp form of the uncertainty principle, ergodic theory and Diophantine approximation to be used in the sequel. A presentation of continued fraction expansions, including the mixing property of the Gauss map, is given. Chapters four and five present the general theory of Dirichlet series, with classes of examples connected to continued fractions, the famous Bohr point of view, and then the use of random Dirichlet series to produce non-trivial extremal examples, including sharp forms of the Bohnenblust-Hille theorem. Chapter six deals with Hardy-Dirichlet spaces, which are new and useful Banach spaces of analytic functions in a half-plane. Finally, chapter seven presents the Bagchi-Voronin universality theorems, for the zeta function, and r-tuples of L functions. The proofs, which mix hilbertian geometry, complex and harmonic analysis, and ergodic theory, are a very good illustration of the material studied earlier.