Introduction to Diophantine Approximations, Serge Lang

Автор: W.M. Schmidt
Название: Diophantine Approximation
ISBN: 3540097627 ISBN-13(EAN): 9783540097624
Издательство: Springer
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Цена: 46540.00 T
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Описание: In 1970, at the University of Colorado, the author delivered a course of lectures on his famous generalization, relating to Roth`s theorem on rational approxi- mations to algebraic numbers. This volume is a version of the original mimeographed notes on the course.

Автор: J?zsef Beck
Название: Probabilistic Diophantine Approximation
ISBN: 3319354655 ISBN-13(EAN): 9783319354651
Издательство: Springer
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Цена: 88500.00 T
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Описание: This book gives a comprehensive treatment of random phenomena and distribution results in diophantine approximation, with a particular emphasis on quadratic irrationals.

Автор: J?zsef Beck
Название: Probabilistic Diophantine Approximation
ISBN: 3319107402 ISBN-13(EAN): 9783319107400
Издательство: Springer
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Цена: 111790.00 T
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Описание: This book gives a comprehensive treatment of random phenomena and distribution results in diophantine approximation, with a particular emphasis on quadratic irrationals.

Автор: Christian Elsholtz; Peter Grabner
Название: Number Theory – Diophantine Problems, Uniform Distribution and Applications
ISBN: 3319553569 ISBN-13(EAN): 9783319553566
Издательство: Springer
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Цена: 102480.00 T
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Автор: Andreescu Titu
Название: Quadratic Diophantine Equations
ISBN: 1493938800 ISBN-13(EAN): 9781493938803
Издательство: Springer
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Цена: 46570.00 T
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Описание: This book reveiws the last two decades of computational techniques and progress in the classical theory of quadratic diophantine equations. Presents important quadratic diophantine equations and applications, and includes excellent examples and open problems.

Автор: J?rn Steuding
Название: Diophantine Analysis
ISBN: 3319488163 ISBN-13(EAN): 9783319488165
Издательство: Springer
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Цена: 65210.00 T
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Описание: This collection of course notes from a number theory summer school focus on aspects of Diophantine Analysis, addressed to Master and doctoral students as well as everyone who wants to learn the subject. The topics range from Baker’s method of bounding linear forms in logarithms (authored by Sanda Buja?i? and Alan Filipin), metric diophantine approximation discussing in particular the yet unsolved Littlewood conjecture (by Simon Kristensen), Minkowski’s geometry of numbers and modern variations by Bombieri and Schmidt (Tapani Matala-aho), and a historical account of related number theory(ists) at the turn of the 19th Century (Nicola M.R. Oswald). Each of these notes serves as an essentially self-contained introduction to the topic. The reader gets a thorough impression of Diophantine Analysis by its central results, relevant applications and open problems. The notes are complemented with many references and an extensive register which makes it easy to navigate through the book.

Автор: Jones
Название: O-Minimality and Diophantine Geometry
ISBN: 1107462495 ISBN-13(EAN): 9781107462496
Издательство: Cambridge Academ
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Цена: 61240.00 T
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Описание: This collection of articles brings the researcher up to date with recent applications of logic, specifically model theory, to conjectures associated with those of Manin-Mumford and Andre-Oort. Originating from a short course, it combines original papers with background articles on related topics.

Автор: Evertse
Название: Discriminant Equations in Diophantine Number Theory
ISBN: 1107097614 ISBN-13(EAN): 9781107097612
Издательство: Cambridge Academ
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Цена: 155230.00 T
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Описание: Discriminant equations are an important class of Diophantine equations. This book provides the first comprehensive account of discriminant equations and their applications, building on the authors` earlier volume, Unit Equations in Diophantine Number Theory. Background material makes the book accessible to experts and young researchers alike.

Автор: Evertse
Название: Unit Equations in Diophantine Number Theory
ISBN: 1107097606 ISBN-13(EAN): 9781107097605
Издательство: Cambridge Academ
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Цена: 70740.00 T
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Описание: Unit equations play a central role in Diophantine number theory. This book provides a comprehensive and up-to-date treatment of unit equations and their various applications. It brings together the most important results and gives an overview of the basic techniques, making it accessible to young researchers.

Автор: Junjiro Noguchi; J?rg Winkelmann
Название: Nevanlinna Theory in Several Complex Variables and Diophantine Approximation
ISBN: 4431562133 ISBN-13(EAN): 9784431562139
Издательство: Springer
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Цена: 88500.00 T
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Описание: This book reviews higher dimensional Nevanlinna theory and its relationship with Diophantine approximation theory. Coverage builds up from the classical theory of meromorphic functions on the complex plane with full proofs, to the current state of research.

Автор: Umberto Zannier
Название: On Some Applications of Diophantine Approximations
ISBN: 8876425195 ISBN-13(EAN): 9788876425196
Издательство: Springer
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Цена: 24230.00 T
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Описание: The paper contains proofs of most important results in transcendence theory and diophantine analysis, notably Siegel`s celebrated theorem on integral points on algebraic curves. Many modern versions of Siegel`s proof have appeared, but none seem to faithfully reproduce all features of the original one.

Автор: Paul Alan Vojta
Название: Diophantine Approximations and Value Distribution Theory
ISBN: 3540175512 ISBN-13(EAN): 9783540175513
Издательство: Springer
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Цена: 23250.00 T
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