Автор: Tignol Jean-Pierre Название: Galois` Theory Of Algebraic Equations (Second Edition) ISBN: 9814704695 ISBN-13(EAN): 9789814704694 Издательство: World Scientific Publishing Цена: 10296.00 р. Наличие на складе: Есть у поставщикаПоставка 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: Charlotte Hardouin, Lucia Di Vizio Название: Intrinsic Approach to Galois Theory of $q$-Difference Equations ISBN: 1470453843 ISBN-13(EAN): 9781470453848 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 10659.00 р. Наличие на складе: Поставка под заказ.
Описание: The Galois theory of di?erence equations has witnessed a major evolution in the last two decades. In the particular case of q-di?erence equations, authors have introduced several di?erent Galois theories. In this memoir we consider an arithmetic approach to the Galois theory of q-di?erence equations and we use it to establish an arithmetical description of some of the Galois groups attached to q-di?erence systems.
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: 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: Van der Put Marius , Singer Michael F. Название: Galois Theory of Linear Differential Equations ISBN: 3540442286 ISBN-13(EAN): 9783540442288 Издательство: Springer Рейтинг: Цена: 12191.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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: 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: Victor P. Snaith Название: Algebraic K-Groups as Galois Modules ISBN: 3034894732 ISBN-13(EAN): 9783034894739 Издательство: Springer Рейтинг: Цена: 12196.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: However, at the "Galois Module Structure" workshop in February 1994, discussions about my invariant (0,1 (L/ K, 3) in the notation of Chapter 5) after my lecture revealed that a number of other higher-dimensional co- homological and motivic invariants of a similar nature were beginning to surface in the work of several authors.
Автор: Marius van der Put; Michael F. Singer Название: Galois Theory of Difference Equations ISBN: 3540632433 ISBN-13(EAN): 9783540632436 Издательство: Springer Рейтинг: Цена: 4268.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Michio Kuga; Susan Addington; Motohico Mulase Название: Galois` Dream: Group Theory and Differential Equations ISBN: 1461267102 ISBN-13(EAN): 9781461267102 Издательство: Springer Рейтинг: Цена: 15855.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
First year, undergraduate, mathematics students in Japan have for many years had the opportunity of a unique experience---an introduction, at an elementary level, to some very advanced ideas in mathematics from one of the leading mathematicians of the world. Michio Kuga's lectures on Group Theory and Differential Equations are a realization of two dreams---one to see Galois groups used to attack the problems of differential equations---the other to do so in such a manner as to take students from a very basic level to an understanding of the heart of this fascinating mathematical problem. English reading students now have the opportunity to enjoy this lively presentation, from elementary ideas to cartoons to funny examples, and to follow the mind of an imaginative and creative mathematician into a world of enduring mathematical creations.
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: Askold Khovanskii; Vladlen Timorin; Valentina Kiri Название: Topological Galois Theory ISBN: 3662506025 ISBN-13(EAN): 9783662506028 Издательство: Springer Рейтинг: Цена: 10366.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book describes classic and new results on solvability and unsolvability of equations in explicit form, presenting the author`s complete exposition of topological Galois theory, plus basics of the Picard-Vessiot theory and a great deal more.
Автор: A. Fr?hlich Название: Galois Module Structure of Algebraic Integers ISBN: 3642688187 ISBN-13(EAN): 9783642688188 Издательство: Springer Рейтинг: Цена: 10976.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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