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Algebraic Number Theory, Aneta Hajek


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Цена: 203050.00T
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в Мои желания

Автор: Aneta Hajek
Название:  Algebraic Number Theory
ISBN: 9781681171838
Издательство: Gazelle Book Services
Классификация:
ISBN-10: 168117183X
Обложка/Формат: Hardback
Страницы: 274
Вес: 0.64 кг.
Дата издания: 01.01.2016
Серия: Mathematics
Язык: English
Размер: 165 x 237 x 18
Читательская аудитория: General (us: trade)
Ключевые слова: Algebra
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Поставляется из: Англии
Описание: Algebraic number theory is the branch of number theory that deals with algebraic numbers. Historically, algebraic number theory developed as a set of tools for solving problems in elementary number theory, namely Diophantine equations (i.e., equations whose solutions are integers or rational numbers). More recently, algebraic number theory has developed into the abstract study of algebraic numbers and number fields themselves, as well as their properties. Algebraic number theory is a major branch of number theory that studies algebraic structures related to algebraic integers. This is generally accomplished by considering a ring of algebraic integers O in an algebraic number field K/Q, and studying their algebraic properties such as factorization, the behaviour of ideals, and field extensions. In this setting, the familiar features of the integerssuch as unique factorizationneed not hold. The virtue of the primary machinery employedGalois theory, group cohomology, group representations, and L-functionsis that it allows one to deal with new phenomena and yet partially recover the behaviour of the usual integers. The higher reaches of algebraic number theory are now one of the crown jewels of mathematics. But algebraic number theory is not merely interesting in itself. It has become an important tool over a wide range of pure mathematics, and many of ideas involved generalize, for example to algebraic geometry. This book is intended both for number theorist and more generally for working algebraists.

The theory of quantum information

Автор: Watrous, John (university Of Waterloo, Ontario)
Название: The theory of quantum information
ISBN: 1107180562 ISBN-13(EAN): 9781107180567
Издательство: Cambridge Academ
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Цена: 77090.00 T
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Описание: Intended for graduate students and researchers, this book presents a formal development of the mathematical theory of quantum information. Largely self-contained, with clear proofs and a wide range of exercises, it will help the reader grasp the fundamental facts and techniques that form the mathematical foundations of the subject.

A Brief Guide to Algebraic Number Theory

Автор: H. P. F. Swinnerton-Dyer
Название: A Brief Guide to Algebraic Number Theory
ISBN: 0521004233 ISBN-13(EAN): 9780521004237
Издательство: Cambridge Academ
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Цена: 51750.00 T
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Описание: A 2001 account of Algebraic Number Theory, a field which has grown to touch many other areas of pure mathematics. Encompasses everything that graduate students and pure mathematicians interested in the subject are likely to need. Many exercises and an annotated reading list are included.

Lecture Notes on Algebraic Structure of Lattice-Ordered Ring

Автор: Ma Jingjing
Название: Lecture Notes on Algebraic Structure of Lattice-Ordered Ring
ISBN: 9814571423 ISBN-13(EAN): 9789814571425
Издательство: World Scientific Publishing
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Цена: 72870.00 T
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Описание: Algebraic Structure of Lattice-Ordered Rings presents an introduction to the theory of lattice-ordered rings and some new developments in this area in the last 10-15 years. It aims to provide the reader with a good foundation in the subject, as well as some new research ideas and topic in the field.This book may be used as a textbook for graduate and advanced undergraduate students who have completed an abstract algebra course including general topics on group, ring, module, and field. It is also suitable for readers with some background in abstract algebra and are interested in lattice-ordered rings to use as a self-study book.The book is largely self-contained, except in a few places, and contains about 200 exercises to assist the reader to better understand the text and practice some ideas.

Lecture Notes on Local Rings

Название: Lecture Notes on Local Rings
ISBN: 9814603651 ISBN-13(EAN): 9789814603652
Издательство: World Scientific Publishing
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Цена: 42240.00 T
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Описание:

The content in Chapter 1-3 is a fairly standard one-semester course on local rings with the goal to reach the fact that a regular local ring is a unique factorization domain. The homological machinery is also supported by Cohen-Macaulay rings and depth. In Chapters 4-6 the methods of injective modules, Matlis duality and local cohomology are discussed. Chapters 7-9 are not so standard and introduce the reader to the generalizations of modules to complexes of modules. Some of Professor Iversen's results are given in Chapter 9. Chapter 10 is about Serre's intersection conjecture. The graded case is fully exposed. The last chapter introduces the reader to Fitting ideals and McRae invariants.


Algebraic Number Theory

Название: Algebraic Number Theory
ISBN: 3319075446 ISBN-13(EAN): 9783319075440
Издательство: Springer
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Цена: 32600.00 T
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Описание: This undergraduate textbook provides an approachable and thorough introduction to the topic of algebraic number theory, taking the reader from unique factorisation in the integers through to the modern-day number field sieve.

3264 and All That

Автор: Eisenbud
Название: 3264 and All That
ISBN: 1107017084 ISBN-13(EAN): 9781107017085
Издательство: Cambridge Academ
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Цена: 101370.00 T
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Описание: This book can form the basis of a second course in algebraic geometry. As motivation, it takes concrete questions from enumerative geometry and intersection theory, and provides intuition and technique so that the student develops the ability to solve geometric problems. It also contains abundant examples, exercises and solutions.

3264 and All That

Автор: Eisenbud
Название: 3264 and All That
ISBN: 1107602726 ISBN-13(EAN): 9781107602724
Издательство: Cambridge Academ
Рейтинг:
Цена: 49630.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book can form the basis of a second course in algebraic geometry. As motivation, it takes concrete questions from enumerative geometry and intersection theory, and provides intuition and technique so that the student develops the ability to solve geometric problems. It also contains abundant examples, exercises and solutions.

Geometry Of The Octonions, The

Автор: Dray Tevian & Manogue Corinne A
Название: Geometry Of The Octonions, The
ISBN: 9814401811 ISBN-13(EAN): 9789814401814
Издательство: World Scientific Publishing
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Цена: 100320.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Describes rotations in three dimensions and in various symmetry groups. This title offers an introduction to the properties of the octonions, with emphasis on their geometric structure. It includes applications such as: the exceptional Lie groups, octonionic projective spaces, and applications to particle physics.


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