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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: 1.074 кг.
Дата издания: 19.06.2008
Серия: Algebra
Язык: ENG
Издание: 2 rev ed
Размер: 15.60 x 23.39 x 3.81 cm
Читательская аудитория: Professional & vocational
Поставляется из: Англии
Описание: This book is devoted entirely to the theory of finite fields.

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Finite Fields and Applications / Proceedings of The Fifth International Conference on Finite Fields and Applications Fq5, held at the University of Augsburg, Germany, August 2-6, 1999

Автор: Jungnickel Dieter, Niederreiter H.
Название: Finite Fields and Applications / Proceedings of The Fifth International Conference on Finite Fields and Applications Fq5, held at the University of Augsburg, Germany, August 2-6, 1999
ISBN: 3540411097 ISBN-13(EAN): 9783540411093
Издательство: Springer
Цена: 10392 р.
Наличие на складе: Нет в наличии.
Описание: The Fifth International Conference on Finite Fields and Applications Fq5 held at the University of Augsburg, Germany, from August 2-6, 1999 continued a series of biennial international conferences on finite fields. The proceedings document the steadily increasing interest in this topic. Finite fields have an inherently fascinating structure and are important tools in discrete mathematics. Their applications range from combinatorial design theory, finite geometries, and algebraic geometry to coding theory, cryptology, and scientific computing. A particularly fruitful aspect is the interplay between theory and applications which has led to many new perspectives in research on finite fields. This interplay has always been a dominant theme in Fq conferences and was very much in evidence at Fq5. The proceedings reflect this, and offer an up-to-date collection of surveys and original research articles by leading experts in the area.
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Finite Fields and Applications / 7th International Conference, Fq7, Toulouse, France, May 5-9, 2003, Revised Papers

Автор: Mullen Gary L., Poli Alain, Stichtenoth Henning
Название: Finite Fields and Applications / 7th International Conference, Fq7, Toulouse, France, May 5-9, 2003, Revised Papers
ISBN: 3540213244 ISBN-13(EAN): 9783540213246
Издательство: Springer
Цена: 4078 р.
Наличие на складе: Нет в наличии.
Описание: This book constitutes the thoroughly refereed post-proceedings of the 7th International Conference on Finite Fields and Applications, Fq7, held in Toulouse, France, in May 2004.The 19 revised full papers presented were carefully selected from around 60 presentations at the conference during two rounds of reviewing and revision. Among the topics addressed are Weierstrass semigroups, Galois rings, hyperelliptic curves, polynomial irreducibility, pseudorandom number sequences, permutation polynomials, random polynomials, matrices, function fields, ramified towers, BCH codes, cyclic codes, primitive polynomials, covering sequences, cyclic decompositions.
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Lectures on finite fields and galois rings

Название: Lectures on finite fields and galois rings
ISBN: 9812385703 ISBN-13(EAN): 9789812385703
Издательство: World Scientific Publishing
Цена: 2965 р.
Наличие на складе: Поставка под заказ.
Описание: This is a textbook for graduate and upper level undergraduate students in mathematics, computer science, communication engineering and other fields. The explicit construction of finite fields and the computation in finite fields are emphasized. In particular, the construction of irreducible polynomials and the normal basis of finite fields are included.

This book has been written in a friendly style, so that lecturers can easily use it as a text and students can use it for self-study. A great number of exercises have been incorporated.

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Finite Fields: Theory and Computation

Автор: Shparlinski
Название: Finite Fields: Theory and Computation
ISBN: 0792356624 ISBN-13(EAN): 9780792356622
Издательство: Springer
Цена: 5775 р.
Наличие на складе: Нет в наличии.
Описание: Provides a survey of the achievements in the theory and applications of finite fields and in many related areas such as algebraic number theory, theoretical computer science, coding theory and cryptography. This book includes topics such as polynomial factorization over finite fields and constructing special bases of extensions of finite fields.
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Rational Points on Curves over Finite Fields

Автор: Harald Niederreiter
Название: Rational Points on Curves over Finite Fields
ISBN: 0521665434 ISBN-13(EAN): 9780521665438
Издательство: Cambridge Academ
Цена: 3769 р.
Наличие на складе: Поставка под заказ.
Описание: Ever since the seminal work of Goppa on algebraic-geometry codes, rational points on algebraic curves over finite fields have been an important research topic for algebraic geometers and coding theorists. The focus in this application of algebraic geometry to coding theory is on algebraic curves over finite fields with many rational points (relative to the genus). Recently, the authors discovered another important application of such curves, namely to the construction of low-discrepancy sequences. These sequences are needed for numerical methods in areas as diverse as computational physics and mathematical finance. This has given additional impetus to the theory of, and the search for, algebraic curves over finite fields with many rational points. This book aims to sum up the theoretical work on algebraic curves over finite fields with many rational points and to discuss the applications of such curves to algebraic coding theory and the construction of low-discrepancy sequences.
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Arithmetic of finite fields

Название: Arithmetic of finite fields
ISBN: 3540694986 ISBN-13(EAN): 9783540694984
Издательство: Springer
Цена: 5004 р.
Наличие на складе: Нет в наличии.
Описание: Constitutes the refereed proceedings of the Second International Workshop on the Arithmetic of Finite Fields, WAIFI 2008, held in Siena, Italy, in July 2008. This work presents 16 revised full papers organized in topical sections on structures in finite fields, efficient finite field arithmetic, and codes and cryptography.
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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: 2804 р.
Наличие на складе: Поставка под заказ.
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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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.
Наличие на складе: Нет в наличии.
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.
Наличие на складе: Нет в наличии.
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: 12702 р.
Наличие на складе: Нет в наличии.
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.
Наличие на складе: Нет в наличии.
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: 6157 р.
Наличие на складе: Нет в наличии.
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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