Описание: Chapter 1. Vector Space.- Chapter 2. Matrices and Linear Equations.- Chapter 3. Linear Transformations.- Chapter 4. Inner Product Space.- Chapter 5. Determinants and Forms.- Chapter 6. Canonical Forms, Jordan and Rational Forms.- Chapter 7. General Linear Algebra.- Chapter 8. Field Theory, Galois Theory.- Chapter 9. Representation Theory of Finite Groups.- Chapter 10.Group Extensions and Schur Multiplier.
Автор: Hachenberger Dirk, Jungnickel Dieter Название: Topics in Galois Fields ISBN: 3030608042 ISBN-13(EAN): 9783030608040 Издательство: Springer Рейтинг: Цена: 14635.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Basic Algebraic Structures and Elementary Number Theory.- Basics on Polynomials- Field Extensions and the Basic Theory of Galois Fields.- The Algebraic Closure of a Galois Field.- Irreducible Polynomials over Finite Fields.- Factorization of Univariate Polynomials over Finite Fields.- Matrices over Finite Fields.- Basis Representations and Arithmetics.- Shift Register Sequences.- Characters, Gauss Sums, and the DFT.- Normal Bases and Cyclotomic Modules.- Complete Normal Bases and Generalized Cyclotomic Modules.- Primitive Normal Bases.- Primitive Elements in Affin Hyperplanes.- List of Symbols.- References.- Index.
Автор: Stewart, Ian (university Of Warwick, Uk) Название: Galois theory ISBN: 1032101598 ISBN-13(EAN): 9781032101590 Издательство: Taylor&Francis Рейтинг: Цена: 22202.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Since 1973, Galois Theory has been educating undergraduate students on Galois groups and classical Galois theory. In Galois Theory, Fifth Edition, mathematician and popular science author Ian Stewart updates this well-established textbook for today`s algebra students.
Автор: B. Torrecillas, D. Bulacu Название: Galois and Cleft Monoidal Cowreaths. Applications ISBN: 1470447525 ISBN-13(EAN): 9781470447526 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 10659.00 р. Наличие на складе: Поставка под заказ.
Автор: Stefaan Caenepeel Название: Brauer Groups, Hopf Algebras and Galois Theory ISBN: 1402003463 ISBN-13(EAN): 9781402003462 Издательство: Springer Рейтинг: Цена: 9146.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Devoted to the Brauer group of a commutative ring and related invariants. This volume includes the development of the theory of Grothendieck topologies and etale cohomology. It has a discussion of topics such as Gabber`s theorem and the theory of Taylor`s big Brauer group of algebras. It also offers the development of the Galois theory.
Автор: Kibler, Maurice (institut De Physique Nucleгївївѕ Aire Universiteгївївѕ Claude Bernard Lyon, France) Название: Galois fields and galois rings made easy ISBN: 1785482351 ISBN-13(EAN): 9781785482359 Издательство: Elsevier Science Рейтинг: Цена: 17348.00 р. Наличие на складе: Нет в наличии.
Описание: This book constitutes an elementary introduction to rings and fields, in particular Galois rings and Galois fields, with regard to their application to the theory of quantum information, a field at the crossroads of quantum physics, discrete mathematics and informatics.The existing literature on rings and fields is primarily mathematical. There are a great number of excellent books on the theory of rings and fields written by and for mathematicians, but these can be difficult for physicists and chemists to access. This book offers an introduction to rings and fields with numerous examples. It contains an application to the construction of mutually unbiased bases of pivotal importance in quantum information. It is intended for graduate and undergraduate students and researchers in physics, mathematical physics and quantum chemistry (especially in the domains of advanced quantum mechanics, quantum optics, quantum information theory, classical and quantum computing, and computer engineering). Although the book is not written for mathematicians, given the large number of examples discussed, it may also be of interest to undergraduate students in mathematics.
Автор: Wan Zhe-Xian Название: Finite Fields And Galois Rings ISBN: 981436634X ISBN-13(EAN): 9789814366342 Издательство: World Scientific Publishing Рейтинг: Цена: 10296.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Suitable for graduate and upper level undergraduate students in mathematics, communication engineering, computer science and other fields as well as for specialists, this book emphasizes explicit construction and computation of finite fields. It includes the construction of irreducible polynomials and normal basis of finite field.
Автор: Cox Название: Galois Theory, 2nd Edition ISBN: 1118072057 ISBN-13(EAN): 9781118072059 Издательство: Wiley Рейтинг: Цена: 10446.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book brings one of the most colorful and influential theories in algebra to life for professional algebraists and students alike. The Second Edition features new exercises and an updated bibliography. A new discussion provides a different method for computing the Galois group of a quartic polynomial.
Автор: Emil Artin, Artin Название: Galois theory ISBN: 1950217035 ISBN-13(EAN): 9781950217038 Издательство: Неизвестно Рейтинг: Цена: 2376.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The author Emil Artin is known as one of the greatest mathematicians of the 20th century. He is regarded as a man who gave a modern outlook to Galois theory. Original lectures by the master. This emended edition is with completely new typesetting and corrections. The free PDF file available on the publisher`s website www.bowwowpress.org
Автор: Alan Koch, Cornelius Greither, Kevin P. Keating, Lindsay N. Childs, Timothy Kohl Название: Hopf Algebras and Galois Module Theory ISBN: 1470465167 ISBN-13(EAN): 9781470465162 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 15675.00 р. Наличие на складе: Поставка под заказ.
Описание: Hopf algebras have been shown to play a natural role in studying questions of integral module structure in extensions of local or global fields. This book surveys the state of the art in Hopf-Galois theory and Hopf-Galois module theory and can be viewed as a sequel to the first author's book, Taming Wild Extensions: Hopf Algebras and Local Galois Module Theory, which was published in 2000.The book is divided into two parts. Part I is more algebraic and focuses on Hopf-Galois structures on Galois field extensions, as well as the connection between this topic and the theory of skew braces. Part II is more number theoretical and studies the application of Hopf algebras to questions of integral module structure in extensions of local or global fields.Graduate students and researchers with a general background in graduate-level algebra, algebraic number theory, and some familiarity with Hopf algebras will appreciate the overview of the current state of this exciting area and the suggestions for numerous avenues for further research and investigation.
Автор: Bewersdorff, Jeorg Название: Galois theory for beginners ISBN: 1470465000 ISBN-13(EAN): 9781470465001 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 7399.00 р. Наличие на складе: Поставка под заказ.
Описание: Galois theory is the culmination of a centuries-long search for a solution to the classical problem of solving algebraic equations by radicals. In this book, Bewersdorff follows the historical development of the theory, emphasizing concrete examples along the way. As a result, many mathematical abstractions are now seen as the natural consequence of particular investigations.Few prerequisites are needed beyond general college mathematics, since the necessary ideas and properties of groups and fields are provided as needed. Results in Galois theory are formulated first in a concrete, elementary way, then in the modern form. Each chapter begins with a simple question that gives the reader an idea of the nature and difficulty of what lies ahead. The applications of the theory to geometric constructions, including the ancient problems of squaring the circle, duplicating the cube, and trisecting the angle, and the construction of regular $n$-gons are also presented.This new edition contains an additional chapter as well as twenty facsimiles of milestones of classical algebra. It is suitable for undergraduates and graduate students, as well as teachers and mathematicians seeking a historical and stimulating perspective on the field.
Описание: This book offers a self-contained exposition of local class field theory, serving as a second course on Galois theory. Written for beginning graduate students and advanced undergraduates, the material will find use across disciplines including number theory, representation theory, algebraic geometry, and algebraic topology.
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