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Galois theory for beginners, Bewersdorff, Jeorg


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Автор: Bewersdorff, Jeorg
Название:  Galois theory for beginners
ISBN: 9781470465001
Издательство: Mare Nostrum (Eurospan)
Классификация:
ISBN-10: 1470465000
Обложка/Формат: Paperback
Страницы: 217
Вес: 0.29 кг.
Дата издания: 30.10.2021
Серия: Student mathematical library
Язык: English
Издание: 2 revised edition
Размер: 178 x 254 x 13
Ключевые слова: Algebra,Algebraic geometry
Подзаголовок: A historical perspective
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Поставляется из: Англии
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.
Дополнительное описание: Algebra|Algebraic geometry



Galois Theory, 2nd Edition

Автор: Cox
Название: Galois Theory, 2nd Edition
ISBN: 1118072057 ISBN-13(EAN): 9781118072059
Издательство: Wiley
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Цена: 10446.00 р.
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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.

Cyclic Galois Extensions of Commutative Rings

Автор: Cornelius Greither
Название: Cyclic Galois Extensions of Commutative Rings
ISBN: 3540563504 ISBN-13(EAN): 9783540563501
Издательство: Springer
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Цена: 3487.00 р.
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Описание: This exposition is aimed at readers with some background in either commutative algebra or algebraic number theory. Emphasis is placed on the notion of a normal basis, which allows researchers to view Leopoldt`s conjecture on number theory from a new angle.

Galois Theory of Linear Differential Equations

Автор: Van der Put Marius , Singer Michael F.
Название: Galois Theory of Linear Differential Equations
ISBN: 3540442286 ISBN-13(EAN): 9783540442288
Издательство: Springer
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Цена: 13969.00 р.
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Описание: Linear differential equations form the central topic of this volume, Galois theory being the unifying theme.A large number of aspects are presented: algebraic theory especially differential Galois theory, formal theory, classification, algorithms to decide solvability in finite terms, monodromy and Hilbert's 21st problem, asymptotics and summability, the inverse problem and linear differential equations in positive characteristic. The appendices aim to help the reader with concepts used, from algebraic geometry, linear algebraic groups, sheaves, and tannakian categories that are used. This volume will become a standard reference for all mathematicians in this area of mathematics, including graduate students.

Algebra 2: Linear Algebra, Galois Theory, Representation Theory, Group Extensions and Schur Multiplier

Автор: Lal Ramji
Название: Algebra 2: Linear Algebra, Galois Theory, Representation Theory, Group Extensions and Schur Multiplier
ISBN: 9811350892 ISBN-13(EAN): 9789811350894
Издательство: Springer
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Цена: 10480.00 р.
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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.

A Classical Introduction to Galois Theory

Автор: Stephen C. Newman
Название: A Classical Introduction to Galois Theory
ISBN: 1118091396 ISBN-13(EAN): 9781118091395
Издательство: Wiley
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Цена: 11080.00 р.
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Galois theory

Автор: Stewart, Ian (university Of Warwick, Uk)
Название: Galois theory
ISBN: 1032101598 ISBN-13(EAN): 9781032101590
Издательство: Taylor&Francis
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Цена: 22202.00 р.
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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.

Topics in Galois Fields

Автор: Hachenberger Dirk, Jungnickel Dieter
Название: Topics in Galois Fields
ISBN: 3030608042 ISBN-13(EAN): 9783030608040
Издательство: Springer
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Цена: 16769.00 р.
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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.

Brauer Groups, Hopf Algebras and Galois Theory

Автор: Stefaan Caenepeel
Название: Brauer Groups, Hopf Algebras and Galois Theory
ISBN: 1402003463 ISBN-13(EAN): 9781402003462
Издательство: Springer
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Цена: 10480.00 р.
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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.

Galois fields and galois rings made easy

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
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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.

Finite Fields And Galois Rings

Автор: Wan Zhe-Xian
Название: Finite Fields And Galois Rings
ISBN: 981436634X ISBN-13(EAN): 9789814366342
Издательство: World Scientific Publishing
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Цена: 10296.00 р.
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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.

Galois` Theory Of Algebraic Equations (Second Edition)

Автор: Tignol Jean-Pierre
Название: Galois` Theory Of Algebraic Equations (Second Edition)
ISBN: 9814704695 ISBN-13(EAN): 9789814704694
Издательство: World Scientific Publishing
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Цена: 10296.00 р.
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Описание:

The book gives a detailed account of the development of the theory of algebraic equations, from its origins in ancient times to its completion by Galois in the nineteenth century. The appropriate parts of works by Cardano, Lagrange, Vandermonde, Gauss, Abel, and Galois are reviewed and placed in their historical perspective, with the aim of conveying to the reader a sense of the way in which the theory of algebraic equations has evolved and has led to such basic mathematical notions as "group" and "field".

A brief discussion of the fundamental theorems of modern Galois theory and complete proofs of the quoted results are provided, and the material is organized in such a way that the more technical details can be skipped by readers who are interested primarily in a broad survey of the theory.

In this second edition, the exposition has been improved throughout and the chapter on Galois has been entirely rewritten to better reflect Galois' highly innovative contributions. The text now follows more closely Galois' memoir, resorting as sparsely as possible to anachronistic modern notions such as field extensions. The emerging picture is a surprisingly elementary approach to the solvability of equations by radicals, and yet is unexpectedly close to some of the most recent methods of Galois theory.

Topics in Galois Theory

Автор: Serre, Jean-Pierre
Название: Topics in Galois Theory
ISBN: 1568814127 ISBN-13(EAN): 9781568814124
Издательство: Taylor&Francis
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Цена: 16843.00 р.
Наличие на складе: Нет в наличии.


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