Galois Theory and Advanced Linear Algebra, Sinha Rajnikant
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: 13969.00 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: 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: Futorny Vyacheslav, Ovsienko Serge Название: Galois Algebras And Their Representations ISBN: 9814299227 ISBN-13(EAN): 9789814299220 Издательство: World Scientific Publishing Цена: 11246.00 р. Наличие на складе: Поставка под заказ.
Описание: The book provides a comprehensive overview of the theory of Galois algebras and their representations developed by the authors. It gives a unique treatment of the theory of Gelfand-Tsetlin modules for finite W-algebras, including the universal enveloping algebra of gl(n), a new treatment of an analog of the Gelfand-Kirillov Conjecture for finite W-algebras, and a description of important new theory of Galois algebras.The book will be of interests to those who specialize in Lie theory, Representation theory and Ring theory.
Автор: Gille, Philippe Szamuely, Tamas Название: Central simple algebras and galois cohomology ISBN: 131660988X ISBN-13(EAN): 9781316609880 Издательство: Cambridge Academ Рейтинг: Цена: 7128.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The first comprehensive, modern introduction to a central field in modern algebra with connections to algebraic geometry, K-theory, and number theory. It proceeds from the basics to more advanced results, including the Merkurjev-Suslin theorem. It is ideal as a text for a graduate course and as a reference for researchers.
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: Douady Rйgine, Douady Adrien Название: Algebra and Galois Theories ISBN: 3030327957 ISBN-13(EAN): 9783030327958 Издательство: Springer Рейтинг: Цена: 7965.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Galois theory has such close analogies with the theory of coverings that algebraists use a geometric language to speak of field extensions, while topologists speak of "Galois coverings".
Автор: Peter Schneider Название: Galois Representations and (Phi, Gamma)-Modules ISBN: 110718858X ISBN-13(EAN): 9781107188587 Издательство: Cambridge Academ Рейтинг: Цена: 8554.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The first detailed and self-contained introduction to a key part of local number theory, which uses the general framework of Lubin-Tate extensions of local number fields. This book allows graduate students to acquire the necessary basis for solving research problems, while also offering researchers many of the basic results.
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: 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.
Автор: Philippe Gille, Tamas Szamuely Название: Central Simple Algebras and Galois Cohomology ISBN: 1107156378 ISBN-13(EAN): 9781107156371 Издательство: Cambridge Academ Рейтинг: Цена: 12197.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The first comprehensive, modern introduction to a central field in modern algebra with connections to algebraic geometry, K-theory, and number theory. It proceeds from the basics to more advanced results, including the Merkurjev-Suslin theorem. It is ideal as a text for a graduate course and as a reference for researchers.
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.
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.
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