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Number Theory and Geometry: An Introduction to Arithmetic Geometry, Alvaro Lozano-Robledo


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Автор: Alvaro Lozano-Robledo
Название:  Number Theory and Geometry: An Introduction to Arithmetic Geometry
ISBN: 9781470450168
Издательство: Mare Nostrum (Eurospan)
Классификация:
ISBN-10: 147045016X
Обложка/Формат: Hardback
Страницы: 488
Вес: 1.05 кг.
Дата издания: 30.06.2019
Серия: Pure and applied undergraduate texts
Язык: English
Размер: 187 x 264 x 27
Ключевые слова: Number theory
Подзаголовок: An introduction to arithmetic geometry
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Поставляется из: Англии
Описание: Geometry and the theory of numbers are as old as some of the oldest historical records of humanity. Ever since antiquity, mathematicians have discovered many beautiful interactions between the two subjects and recorded them in such classical texts as Euclids Elements and Diophantuss Arithmetica. Nowadays, the field of mathematics that studies the interactions between number theory and algebraic geometry is known as arithmetic geometry. This book is an introduction to number theory and arithmetic geometry, and the goal of the text is to use geometry as the motivation to prove the main theorems in the book. For example, the fundamental theorem of arithmetic is a consequence of the tools we develop in order to find all the integral points on a line in the plane. Similarly, Gausss law of quadratic reciprocity and the theory of continued fractions naturally arise when we attempt to determine the integral points on a curve in the plane given by a quadratic polynomial equation. After an introduction to the theory of diophantine equations, the rest of the book is structured in three acts that correspond to the study of the integral and rational solutions of linear, quadratic, and cubic curves, respectively.This book describes many applications including modern applications in cryptography; it also presents some recent results in arithmetic geometry. With many exercises, this book can be used as a text for a first course in number theory or for a subsequent course on arithmetic (or diophantine) geometry at the junior-senior level.
Дополнительное описание: Number theory



An Introduction to Polynomial and Semi-Algebraic Optimization

Автор: Lasserre
Название: An Introduction to Polynomial and Semi-Algebraic Optimization
ISBN: 1107060575 ISBN-13(EAN): 9781107060579
Издательство: Cambridge Academ
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Цена: 21226.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This is the first comprehensive introduction to the powerful moment approach for solving global optimization problems. Graduate students, engineers and researchers entering the field can use this book to understand, experiment with and master this new approach through the simple worked examples provided.

An Introduction to Polynomial and Semi-Algebraic Optimization

Автор: Lasserre
Название: An Introduction to Polynomial and Semi-Algebraic Optimization
ISBN: 110763069X ISBN-13(EAN): 9781107630697
Издательство: Cambridge Academ
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Цена: 7286.00 р.
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Описание: This is the first comprehensive introduction to the powerful moment approach for solving global optimization problems. Graduate students, engineers and researchers entering the field can use this book to understand, experiment with and master this new approach through the simple worked examples provided.

Arithmetic and Geometry

Автор: Dieulefait
Название: Arithmetic and Geometry
ISBN: 1107462541 ISBN-13(EAN): 9781107462540
Издательство: Cambridge Academ
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Цена: 12197.00 р.
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Описание: In this proceedings volume leading authorities describe the state of the art in number theory, particularly Diophantine and arithmetic geometry. The book gives an excellent overview of the subject for graduate students and it is essential reading for researchers wishing to keep abreast of recent developments.

Algebraic Geometry and Arithmetic Curves

Автор: Liu, Qing
Название: Algebraic Geometry and Arithmetic Curves
ISBN: 0199202494 ISBN-13(EAN): 9780199202492
Издательство: Oxford Academ
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Цена: 12038.00 р.
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Описание: This new-in-paperback edition provides an introduction to algebraic and arithmetic geometry, starting with the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. Clear explanations of both theory and applications, and almost 600 exercises are included in the text.

Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds

Автор: Radu Laza; Matthias Sch?tt; Noriko Yui
Название: Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds
ISBN: 1489999183 ISBN-13(EAN): 9781489999184
Издательство: Springer
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Цена: 18167.00 р.
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Описание: Arising from a 2011 workshop at the Fields Institute, this book reviews Arithmetic and Geometry of K3 surfaces and Calabi-Yau threefolds. Offers lectures and papers on arithmetic and algebraic geometry, differential geometry, mathematical physics and more.

Analytic Methods in Arithmetic Geometry

Автор: Alina Bucur, David Zureick-Brown
Название: Analytic Methods in Arithmetic Geometry
ISBN: 1470437848 ISBN-13(EAN): 9781470437848
Издательство: Mare Nostrum (Eurospan)
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Цена: 16302.00 р.
Наличие на складе: Нет в наличии.

Описание: This volume contains the proceedings of the Arizona Winter School 2016, which was held from March 12-16, 2016, at The University of Arizona, Tucson, AZ. In the last decade or so, analytic methods have had great success in answering questions in arithmetic geometry and number theory. The School provided a unique opportunity to introduce graduate students to analytic methods in arithmetic geometry. The book contains four articles. Alina C. Cojocaru's article introduces sieving techniques to study the group structure of points of the reduction of an elliptic curve modulo a rational prime via its division fields. Harald A. Helfgott's article provides an introduction to the study of growth in groups of Lie type, with $\mathrm{SL}_2(\mathbb{F}_q)$ and some of its subgroups as the key examples. The article by Etienne Fouvry, Emmanuel Kowalski, Philippe Michel, and Will Sawin describes how a systematic use of the deep methods from $\ell$-adic cohomology pioneered by Grothendieck and Deligne and further developed by Katz and Laumon help make progress on various classical questions from analytic number theory. The last article, by Andrew V. Sutherland, introduces Sato-Tate groups and explores their relationship with Galois representations, motivic $L$-functions, and Mumford-Tate groups.

Introduction To Non-Abelian Class Field Theory, An: Automorphic Forms Of Weight 1 And 2-Dimensional Galois Representations

Автор: Hiramatsu Toyokazu Et Al
Название: Introduction To Non-Abelian Class Field Theory, An: Automorphic Forms Of Weight 1 And 2-Dimensional Galois Representations
ISBN: 981314226X ISBN-13(EAN): 9789813142268
Издательство: World Scientific Publishing
Цена: 12830.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This monograph provides a brief exposition of automorphic forms of weight 1 and their applications to arithmetic, especially to Galois representations.

Arithmetic Geometry over Global Function Fields

Автор: Gebhard B?ckle; David Burns; David Goss; Dinesh Th
Название: Arithmetic Geometry over Global Function Fields
ISBN: 3034808526 ISBN-13(EAN): 9783034808521
Издательство: Springer
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Цена: 5589.00 р.
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Описание: Arithmetic Geometry over Global Function Fields


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