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Diophantine Analysis, Steuding, Jorn


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Цена: 9798.00р.
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Автор: Steuding, Jorn
Название:  Diophantine Analysis
ISBN: 9780367392857
Издательство: Taylor&Francis
Классификация:



ISBN-10: 0367392852
Обложка/Формат: Paperback
Страницы: 276
Вес: 0.51 кг.
Дата издания: 27.09.2019
Язык: English
Размер: 229 x 155 x 18
Читательская аудитория: Tertiary education (us: college)
Основная тема: Number Theory
Ссылка на Издательство: Link
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Поставляется из: Европейский союз
Описание:

While its roots reach back to the third century, diophantine analysis continues to be an extremely active and powerful area of number theory. Many diophantine problems have simple formulations, they can be extremely difficult to attack, and many open problems and conjectures remain.

Diophantine Analysis examines the theory of diophantine approximations and the theory of diophantine equations, with emphasis on interactions between these subjects. Beginning with the basic principles, the author develops his treatment around the theory of continued fractions and examines the classic theory, including some of its applications. He also explores modern topics rarely addressed in other texts, including the abc conjecture, the polynomial Pell equation, and the irrationality of the zeta function and touches on topics and applications related to discrete mathematics, such as factoring methods for large integers.

Setting the stage for tackling the fields many open problems and conjectures, Diophantine Analysis is an ideal introduction to the fundamentals of this venerable but still dynamic field. A detailed appendix supplies the necessary background material, more than 200 exercises reinforce the concepts, and engaging historical notes bring the subject to life.




The Algorithmic Resolution of Diophantine Equations

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.
Наличие на складе: Есть у поставщика Поставка под заказ.

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.

Diophantine Analysis

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.

Number Theory – Diophantine Problems, Uniform Distribution and Applications

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: 15372.00 р.
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Quadratic Diophantine Equations

Автор: Andreescu Titu
Название: Quadratic Diophantine Equations
ISBN: 1493938800 ISBN-13(EAN): 9781493938803
Издательство: Springer
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Цена: 6986.00 р.
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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.

Number Theory: An Elementary Introduction Through Diophantine Problems

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.

Unit Equations in Diophantine 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.

O-Minimality and Diophantine Geometry

Автор: Jones
Название: O-Minimality and Diophantine Geometry
ISBN: 1107462495 ISBN-13(EAN): 9781107462496
Издательство: Cambridge Academ
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Цена: 9186.00 р.
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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.

Discriminant Equations in Diophantine Number Theory

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.


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