O-Minimality and Diophantine Geometry, Jones

Автор: J?rn Steuding
Название: Diophantine Analysis
ISBN: 3319488163 ISBN-13(EAN): 9783319488165
Издательство: Springer
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Цена: 9781.00 р.
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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: Smart Nigel P.
Название: The Algorithmic Resolution of Diophantine Equations
ISBN: 0521646332 ISBN-13(EAN): 9780521646338
Издательство: Cambridge Academ
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Цена: 9187.00 р.
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Описание: A coherent account of the computational methods used to solve diophantine equations. Topics include local methods, sieving, descent arguments, the LLL algorithm, Baker`s theory of linear forms in logarithms, and problems associated with curves. Useful exercises and bibliography are included. Suitable for graduate students and research workers.

Автор: Evertse
Название: Discriminant Equations in Diophantine Number Theory
ISBN: 1107097614 ISBN-13(EAN): 9781107097612
Издательство: Cambridge Academ
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Цена: 23285.00 р.
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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: Duverney Daniel
Название: Number Theory: An Elementary Introduction Through Diophantine Problems
ISBN: 9814307459 ISBN-13(EAN): 9789814307451
Издательство: World Scientific Publishing
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Цена: 10296.00 р.
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Описание: Presents an elementary introduction to number theory and its different aspects: approximation of real numbers, irrationality and transcendence problems, continued fractions, diophantine equations, quadratic forms, arithmetical functions and algebraic number theory.

Автор: Evertse
Название: Unit Equations in Diophantine Number Theory
ISBN: 1107097606 ISBN-13(EAN): 9781107097605
Издательство: Cambridge Academ
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Цена: 10611.00 р.
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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.