Galois Theory and Its Algebraic Background, D. J. H. Garling
Старое издание
Автор: Garling, D. J. H. (university Of Cambridge) Название: Galois theory, and its algebraic background ISBN: 1108969089 ISBN-13(EAN): 9781108969086 Издательство: Cambridge Academ Рейтинг: Цена: 5542.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Galois Theory is the theory of polynomial equations and their solutions. Suitable for course-following undergraduates and the independent reader, this textbook gives a full account of Galois Theory and the necessary background algebra. This second edition has been revised and re-ordered, with new exercises and examples throughout.
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.
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: Khovanskii, Askold Название: Galois theory, coverings, and riemann surfaces ISBN: 364238840X ISBN-13(EAN): 9783642388408 Издательство: Springer Рейтинг: Цена: 8384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Galois Theory, Coverings, and Riemann Surfaces
Описание: This book presents original peer-reviewed contributions from the London Mathematical Society (LMS) Midlands Regional Meeting and Workshop on `Galois Covers, Grothendieck-Teichmuller Theory and Dessinsd`Enfants`, which took place at the University of Leicester, UK, from 4 to 7 June, 2018.
Автор: Tignol Jean-Pierre Название: Galois` Theory Of Algebraic Equations (Second Edition) ISBN: 9814704695 ISBN-13(EAN): 9789814704694 Издательство: World Scientific Publishing Рейтинг: Цена: 10296.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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.
Описание: A new approach to conveying abstract algebra, the area that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras, that is essential to various scientific disciplines such as particle physics and cryptology. It provides a well written account of the theoretical foundations and it also includes a chapter on cryptography. End of chapter problems help readers with accessing the subjects.
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.
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.
Описание: This book is devoted to the relation between two different concepts of integrability: the complete integrability of complex analytical Hamiltonian systems and the integrability of complex analytical linear differential equations.
Автор: Stewart, Ian (university Of Warwick, Uk) Название: Galois theory ISBN: 103210158X ISBN-13(EAN): 9781032101583 Издательство: Taylor&Francis Рейтинг: Цена: 8114.00 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.
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