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Finite Fields, Lidl

Finite Fields

Автор: Lidl
Название:  Finite Fields   (Конечные области)
Издательство: Cambridge Academ
Классификация:
Алгебра

ISBN: 0521065674
ISBN-13(EAN): 9780521065672
ISBN: 0-521-06567-4
ISBN-13(EAN): 978-0-521-06567-2
Обложка/Формат: Paperback
Страницы: 772
Вес: 1.1 кг.
Дата издания: 19.06.2008
Серия: Encyclopedia of mathematics and its applications
Язык: ENG
Издание: 2 rev ed
Иллюстрации: Black & white illustrations
Размер: 15.60 x 23.39 x 3.81 cm
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
Рейтинг:
Поставляется из: Англии
Описание: This book is devoted entirely to the theory of finite fields.

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Склад Америка: 147шт.  
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Ориентировочная дата поставки: 4 сен 2017
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Rings, Fields, and Vector Spaces

Автор: Sethuraman
Название: Rings, Fields, and Vector Spaces
ISBN: 0387948481 ISBN-13(EAN): 9780387948485
Издательство: Springer
Цена: 3846 р.
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Описание: Using the proof of the non-trisectability of an arbitrary angle as a final goal, the author develops in an easy conversational style the basics of rings, fields, and vector spaces. Originally developed as a text for an introduction to algebra course for future high-school teachers at California State University, Northridge, the focus of this book is on exposition. It would serve extremely well as a focused, one-semester introduction to abstract algebra.
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Harmonic Analysis on Finite Groups

Автор: Tullio Ceccherini-Silberstein
Название: Harmonic Analysis on Finite Groups
ISBN: 0521883369 ISBN-13(EAN): 9780521883368
Издательство: Cambridge Academ
Цена: 6223 р.
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Описание: Line up a deck of 52 cards on a table. Randomly choose two cards and switch them. How many switches are needed in order to mix up the deck? Starting from a few concrete problems such as random walks on the discrete circle and the finite ultrametric space this book develops the necessary tools for the asymptotic analysis of these processes. This detailed study culminates with the case-by-case analysis of the cut-off phenomenon discovered by Persi Diaconis. This self-contained text is ideal for graduate students and researchers working in the areas of representation theory, group theory, harmonic analysis and Markov chains. Its topics range from the basic theory needed for students new to this area, to advanced topics such as the theory of Green’s algebras, the complete analysis of the random matchings, and the representation theory of the symmetric group.
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Groups, Rings and Fields

Автор: Wallace David A.R.
Название: Groups, Rings and Fields
ISBN: 3540761772 ISBN-13(EAN): 9783540761778
Издательство: Springer
Цена: 2306 р.
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Описание: David Wallace has written a text on modern algebra which is suitable for a first course in the subject given to mathematics undergraduates. It aims to promote a feeling for the evolutionary and historical development of algebra. It assumes some familiarity with complex numbers, matrices and linear algebra which are commonly taught during the first year of an undergraduate course. Each chapter contains examples, exercises and solutions, perfectly suited to aid self-study. All arguments in the text are carefully crafted to promote understanding and enjoyment for the reader.
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Modern Differential Geometry in Gauge Theories / Maxwell Fields, Volume I

Автор: Mallios Anastasios, Anastassiou George A.
Название: Modern Differential Geometry in Gauge Theories / Maxwell Fields, Volume I
ISBN: 0817643788 ISBN-13(EAN): 9780817643782
Издательство: Springer
Цена: 9236 р.
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Описание: Differential geometry, in the classical sense, is developed through the theory of smooth manifolds. Using modern differential geometry from the author`s perspective, this work describes physical theories of a geometric character without using any notion of calculus (smoothness).
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Function Algebras on Finite Sets / Basic Course on Many-Valued Logic and Clone Theory

Автор: Lau Dietlinde
Название: Function Algebras on Finite Sets / Basic Course on Many-Valued Logic and Clone Theory
ISBN: 3540360220 ISBN-13(EAN): 9783540360223
Издательство: Springer
Цена: 10009 р.
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Описание: Functions which are defined on finite sets occur in almost all fields of mathematics. For more than 80 years algebras whose universes are such functions (so-called function algebras), have been intensively studied.This book is an insdispensible source on function algebras for graduate students and researchers in mathematical logic and theoretical computer science.
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Classes of Finite Groups

Автор: Ballester-Bolinches Adolfo, Ezquerro Luis M.
Название: Classes of Finite Groups
ISBN: 1402047185 ISBN-13(EAN): 9781402047183
Издательство: Springer
Цена: 7699 р.
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Описание: Many group theorists all over the world have been trying in the last twenty-five years to extend and adapt the magnificent methods of the Theory of Finite Soluble Groups to the more ambitious universe of all finite groups. This is a natural progression after the classification of finite simple groups but the achievements in this area are scattered in various papers. Our objectives in this book were to gather, order and examine all this material, including the latest advances made, give a new approach to some classic topics, shed light on some fundamental facts that still remain unpublished and present some new subjects of research in the theory of classes of finite, not necessarily solvable, groups.
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Finite Commutative Rings and Their Applications

Автор: Bini Gilberto, Flamini Flaminio
Название: Finite Commutative Rings and Their Applications
ISBN: 140207039X ISBN-13(EAN): 9781402070396
Издательство: Springer
Цена: 12701 р.
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Описание: Foreword by Dieter Jungnickel Finite Commutative Rings and their Applications answers a need for an introductory reference in finite commutative ring theory as applied to information and communication theory. This book will be of interest to both professional and academic researchers in the fields of communication and coding theory. The book is a concrete and self-contained introduction to finite commutative local rings, focusing in particular on Galois and Quasi-Galois rings. The reader is provided with an active and concrete approach to the study of the purely algebraic structure and properties of finite commutative rings (in particular, Galois rings) as well as to their applications to coding theory. Finite Commutative Rings and their Applications is the first to address both theoretical and practical aspects of finite ring theory. The authors provide a practical approach to finite rings through explanatory examples, thereby avoiding an abstract presentation of the subject. The section on Quasi-Galois rings presents new and unpublished results as well. The authors then introduce some applications of finite rings, in particular Galois rings, to coding theory, using a solid algebraic and geometric theoretical background. This text is suitable for courses in commutative algebra, finite commutative algebra, and coding theory. It is also suitable as a supplementary text for courses in discrete mathematics, finite fields, finite rings, etc.
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Multi-Valued Fields

Автор: Ershov Yuri L.
Название: Multi-Valued Fields
ISBN: 0306110687 ISBN-13(EAN): 9780306110689
Издательство: Springer
Цена: 21483 р.
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Описание: For more than 30 years, the author has studied the model-theoretic aspects of the theory of valued fields and multi-valued fields. Many of the key results included in this book were obtained by the author whilst preparing the manuscript. Thus the unique overview of the theory, as developed in the book, has been previously unavailable. The book deals with the theory of valued fields and mutli-valued fields. The theory of PrГјfer rings is discussed from the `geometric' point of view. The author shows that by introducing the Zariski topology on families of valuation rings, it is possible to distinguish two important subfamilies of PrГјfer rings that correspond to Boolean and near Boolean families of valuation rings. Also, algebraic and model-theoretic properties of multi-valued fields with near Boolean families of valuation rings satisfying the local-global principle are studied. It is important that this principle is elementary, i.e., it can be expressed in the language of predicate calculus. The most important results obtained in the book include a criterion for the elementarity of an embedding of a multi-valued field and a criterion for the elementary equivalence for multi-valued fields from the class defined by the additional natural elementary conditions (absolute unramification, maximality and almost continuity of local elementary properties). The book concludes with a brief chapter discussing the bibliographic references available on the material presented, and a short history of the major developments within the field.
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Valued Fields

Автор: Engler Antonio J., Prestel Alexander
Название: Valued Fields
ISBN: 354024221X ISBN-13(EAN): 9783540242215
Издательство: Springer
Цена: 6156 р.
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Описание: Absolute values and their completions -like the p-adic number fields- play an important role in number theory. Krull's generalization of absolute values to valuations made applications in other branches of mathematics, such as algebraic geometry, possible. In valuation theory, the notion of a completion has to be replaced by that of the so-called Henselization.In this book, the theory of valuations as well as of Henselizations is developed. The presentation is based on the knowledge acquired in a standard graduate course in algebra. The last chapter presents three applications of the general theory -for instance to Artin's Conjecture on the p-adic number fields- that could not be obtained by the use of absolute values alone.
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Algebra / Volume I: Fields and Galois Theory

Автор: Lorenz Falko, Levy Silvio
Название: Algebra / Volume I: Fields and Galois Theory
ISBN: 0387289305 ISBN-13(EAN): 9780387289304
Издательство: Springer
Цена: 3076 р.
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Описание: From Math Reviews: "This is a charming textbook, introducing the reader to the classical parts of algebra. The exposition is admirably clear and lucidly written with only minimal prerequisites from linear algebra. The new concepts are, at least in the first part of the book, defined in the framework of the development of carefully selected problems. Thus, for instance, the transformation of the classical geometrical problems on constructions with ruler and compass in their algebraic setting in the first chapter introduces the reader spontaneously to such fundamental algebraic notions as field extension, the degree of an extension, etc... The book ends with an appendix containing exercises and notes on the previous parts of the book. However, brief historical comments and suggestions for further reading are also scattered through the text."
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Finite-Dimensional Division Algebras over Fields

Автор: Jacobson
Название: Finite-Dimensional Division Algebras over Fields
ISBN: 3540570292 ISBN-13(EAN): 9783540570295
Издательство: Springer
Цена: 6541 р.
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Описание: Finite-dimensional division algebras over fields determine, by the Wedderburn Theorem, the semi-simple finite-dimensional algebras over a field. This text concentrates on those algebras that have an involution. It includes coverage of involutorial simple algebras of finite dimension over a field.
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Finite Free Resolutions

Автор: D. G. Northcott
Название: Finite Free Resolutions
ISBN: 0521604877 ISBN-13(EAN): 9780521604871
Издательство: Cambridge Academ
Цена: 4382 р.
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Описание: An important part of homological algebra deals with modules possessing projective resolutions of finite length. This goes back to Hilbert’s famous theorem on syzygies through, in the earlier theory, free modules with finite bases were used rather than projective modules. The introduction of a wider class of resolutions led to a theory rich in results, but in the process certain special properties of finite free resolutions were overlooked. D. A. Buchsbaum and D. Eisenbud have shown that finite free resolutions have a fascinating structure theory. This has revived interest in the simpler kind of resolution and caused the subject to develop rapidly. This Cambridge Tract attempts to give a genuinely self-contained and elementary presentation of the basic theory, and to provide a sound foundation for further study. The text contains a substantial number of exercises. These enable the reader to test his understanding and they allow the subject to be developed more rapidly. Each chapter ends with the solutions to the exercises contained in it.
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