Number Theory: An Elementary Introduction Through Diophantine Problems, Duverney Daniel
Автор: Evertse Название: Discriminant Equations in Diophantine Number Theory ISBN: 1107097614 ISBN-13(EAN): 9781107097612 Издательство: Cambridge Academ Рейтинг: Цена: 23285.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: J?rn Steuding Название: Diophantine Analysis ISBN: 3319488163 ISBN-13(EAN): 9783319488165 Издательство: Springer Рейтинг: Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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 Рейтинг: Цена: 9186.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Vazzana Название: Introduction to Number Theory, 2nd Edition ISBN: 1498717497 ISBN-13(EAN): 9781498717496 Издательство: Taylor&Francis Рейтинг: Цена: 16078.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Introduction to Number Theory is a classroom-tested, student-friendly text that covers a diverse array of number theory topics, from the ancient Euclidean algorithm for finding the greatest common divisor of two integers to recent developments such as cryptography, the theory of elliptic curves, and the negative solution of Hilbert's tenth problem. The authors illustrate the connections between number theory and other areas of mathematics, including algebra, analysis, and combinatorics. They also describe applications of number theory to real-world problems, such as congruences in the ISBN system, modular arithmetic and Euler's theorem in RSA encryption, and quadratic residues in the construction of tournaments.
Ideal for a one- or two-semester undergraduate-level course, this Second Edition:
Features a more flexible structure that offers a greater range of options for course design
Adds new sections on the representations of integers and the Chinese remainder theorem
Expands exercise sets to encompass a wider variety of problems, many of which relate number theory to fields outside of mathematics (e.g., music)
Provides calculations for computational experimentation using SageMath, a free open-source mathematics software system, as well as Mathematica(R) and Maple(TM), online via a robust, author-maintained website
Includes a solutions manual with qualifying course adoption
By tackling both fundamental and advanced subjects--and using worked examples, numerous exercises, and popular software packages to ensure a practical understanding--Introduction to Number Theory, Second Edition instills a solid foundation of number theory knowledge.
Автор: Evertse Название: Unit Equations in Diophantine Number Theory ISBN: 1107097606 ISBN-13(EAN): 9781107097605 Издательство: Cambridge Academ Рейтинг: Цена: 10611.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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