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Evariste Galois (1811-1832), Toti Rigatelli Laura

Evariste Galois (1811-1832)

Автор: Toti Rigatelli Laura
Название:  Evariste Galois (1811-1832)
Издательство: Birkhauser Verlag AG
Биография и автобиография
История математики

ISBN: 3764354100
ISBN-13(EAN): 9783764354107
ISBN: 3-7643-5410-0
ISBN-13(EAN): 978-3-7643-5410-7
Обложка/Формат: Paperback
Страницы: 200
Вес: 0.245 кг.
Дата издания: 1996
Серия: Vita Mathematica
Язык: ENG
Размер: 23.04 x 15.72 x 0.91 cm
Читательская аудитория: General (us: trade)
Поставляется из: Германии
Описание: Evariste Galois short life was lived against the turbulent background of the restoration of the Bourbons to the throne of France, the 1830 revolution in Paris and the accession of Louis-Phillipe. This new and scrupulously researched biography of the founder of modern algebra sheds much light on a life led with great intensity and a death met tragically under dark circumstances. Sorting speculation from documented fact, it offers the fullest and most exacting account ever written of Galois life and work. It took more than seventy years to fully understand the French mathematicians first mГ©moire (published in 1846) which formulated the famous Galois theory concerning the solvability of algebraic equations by radicals, from which group theory would follow. Obscurities in his other writings - mГ©moires and numerous fragments of extant papers - persist and his ideas challenge mathematicians to this day. Thus scholars will welcome those chapters devoted specifically to explicating all aspects of Galois work. A comprehensive bibliography enumerates studies by and also those about the mathematician.
Дополнительное описание: Язык: eng

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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
Цена: 7697 р.
Наличие на складе: Нет в наличии.
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.

Galois Cohomology

Автор: Serre Jean-Pierre, Ion P.
Название: Galois Cohomology
ISBN: 3540421920 ISBN-13(EAN): 9783540421924
Издательство: Springer
Цена: 3462 р.
Наличие на складе: Нет в наличии.
Описание: This is an updated English translation of "Cohomologie Galoisienne", published more than 30 years ago as one of the very first Lecture Notes in Mathematics (LNM 5). It includes a reproduction of an influential paper of R. Steinberg, together with some new material and an expanded bibliography.

Galois Theory

Автор: Escofier Jean-Pierre, Schneps L.
Название: Galois Theory
ISBN: 0387987657 ISBN-13(EAN): 9780387987651
Издательство: Springer
Цена: 3616 р.
Наличие на складе: Нет в наличии.
Описание: This book presents the fundamentals of Galois Theory, including a set of copious, well-chosen exercises that form an important part of the presentation. The pace is gentle and incorporates interesting historical material, including aspects on the life of Galois. Computed examples, recent developments, and extensions of results into other related areas round out the presentation.

Galois Theory

Автор: Rotman Joseph
Название: Galois Theory
ISBN: 0387985417 ISBN-13(EAN): 9780387985411
Издательство: Springer
Цена: 3077 р.
Наличие на складе: Нет в наличии.

Differential Galois Theory and Non-Integrability of Hamiltonian Systems

Автор: Morales Ruiz Juan J.
Название: Differential Galois Theory and Non-Integrability of Hamiltonian Systems
ISBN: 376436078X ISBN-13(EAN): 9783764360788
Издательство: Birkhauser Verlag AG
Цена: 8623 р.
Наличие на складе: Нет в наличии.
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. For linear differential equations, integrability is made precise within the framework of differential Galois theory. The connection of these two integrability notions is given by the variational equation (i.e. linearized equation) along a particular integral curve of the Hamiltonian system. The underlying heuristic idea, which motivated the main results presented in this monograph, is that a necessary condition for the integrability of a Hamiltonian system is the integrability of the variational equation along any of its particular integral curves. This idea led to the algebraic non-integrability criteria for Hamiltonian systems. These criteria can be considered as generalizations of classical non-integrability results by PoincarГ© and Liapunov, as well as more recent results by Ziglin and Yoshida. Thus, by means of the differential Galois theory it is not only possible to understand all these approaches in a unified way but also to improve them. Several important applications are also included: homogeneous potentials, Bianchi IX cosmological model, three-body problem, HГ©non-Heiles system, etc.The book is based on the original joint research of the author with J.M. Peris, J.P. Ramis and C. SimГі, but an effort was made to present these achievements in their logical order rather than their historical one. The necessary background on differential Galois theory and Hamiltonian systems is included, and several new problems and conjectures which open new lines of research are proposed.

Introduction to the Galois Correspondence

Автор: Fenrick Maureen H.
Название: Introduction to the Galois Correspondence
ISBN: 0817640266 ISBN-13(EAN): 9780817640262
Издательство: Birkhauser Verlag AG
Цена: 7181 р.
Наличие на складе: Нет в наличии.
Описание: Presenting a clear exposition of Galois correspondence at an introductory level, this second edition of the text is considerably expanded.

Groups, rings and galois theory (2nd edition)

Название: Groups, rings and galois theory (2nd edition)
ISBN: 9812386009 ISBN-13(EAN): 9789812386007
Издательство: World Scientific Publishing
Цена: 2863 р.
Наличие на складе: Поставка под заказ.
Описание: This book is ideally suited for a two-term undergraduate algebra course culminating in a discussion on Galois theory. It provides an introduction to group theory and ring theory en route. In addition, there is a chapter on groups -- including applications to error-correcting codes and to solving Rubik's cube.

The concise style of the book will facilitate student-instructor discussion, as will the selection of exercises with various levels of difficulty. For the second edition, two chapters on modules over principal ideal domains and Dedekind domains have been added, which are suitable for an advanced undergraduate reading course or a first-year graduate course.


Galois Groups and Fundamental Groups

Автор: Edited by Leila Schneps
Название: Galois Groups and Fundamental Groups
ISBN: 0521808316 ISBN-13(EAN): 9780521808316
Издательство: Cambridge Academ
Цена: 7187 р.
Наличие на складе: Поставка под заказ.
Описание: This book contains eight expository articles by well-known authors of the theory of Galois groups and fundamental groups. They focus on presenting recent developments, avoiding classical aspects which have already been described at length in the standard literature. The volume grew from the special semester held at the MSRI in Berkeley in 1999 and many of the new results are due to work accomplished during that program. Among the subjects covered are elliptic surfaces, Grothendieck’s anabelian conjecture, fundamental groups of curves and differential Galois theory in positive characteristic. Although the articles contain original results, the authors have striven to make them as introductory as possible, making them accessible to graduate students as well as researchers in algebraic geometry and number theory. The volume also contains a lengthy overview by Leila Schneps that sets the individual articles into the broader context of contemporary research in Galois groups.

Galois Connections and Applications

Автор: Denecke K., ErnГ© M., Wismath S.L.
Название: Galois Connections and Applications
ISBN: 1402018975 ISBN-13(EAN): 9781402018978
Издательство: Springer
Цена: 6542 р.
Наличие на складе: Нет в наличии.
Описание: This book presents the main ideas of General Galois Theory as a generalization of Classical Galois Theory. It sketches the development of Galois connections through the last three centuries. Examples of Galois connections as powerful tools in Category Theory and Universal Algebra are given. Applications of Galois connections in Linguistic and Data Analysis are presented.

Galois` Dream / Group Theory and Differential Equations

Автор: Kuga Michio, Addington Susan, Mulase Motohico
Название: Galois` Dream / Group Theory and Differential Equations
ISBN: 0817636889 ISBN-13(EAN): 9780817636883
Издательство: Birkhauser Verlag AG
Цена: 5263 р.
Наличие на складе: Нет в наличии.
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.

Galois Theory

Автор: Weintraub
Название: Galois Theory
ISBN: 0387287256 ISBN-13(EAN): 9780387287256
Издательство: Springer
Цена: 3077 р.
Наличие на складе: Нет в наличии.
Описание: Classical Galois theory is a subject generally acknowledged to be one of the most central and beautiful areas in pure mathematics. This text develops the subject systematically and from the beginning, requiring of the reader only basic facts about polynomials and a good knowledge of linear algebra.  Key topics and features of this book:Approaches Galois theory from the linear algebra point of view, following Artin;Develops the basic concepts and theorems of Galois theory, including algebraic, normal, separable, and Galois extensions, and the Fundamental Theorem of Galois Theory;Presents a number of applications of Galois theory, including symmetric functions, finite fields, cyclotomic fields, algebraic number fields, solvability of equations by radicals, and the impossibility of solution of the three geometric problems of Greek antiquity;Provides excellent motivaton and examples throughout.The book discusses Galois theory in considerable generality, treating fields of characteristic zero and of positive characteristic with consideration of both separable and inseparable extensions, but with a particular emphasis on algebraic extensions of the field of rational numbers. While most of the book is concerned with finite extensions, it concludes with a discussion of the algebraic closure and of infinite Galois extensions.Steven H. Weintraub is Professor and Chair of the Department of Mathematics at Lehigh University. This book, his fifth, grew out of a graduate course he taught at Lehigh. His other books include Algebra: An Approach via Module Theory (with W. A. Adkins).

Lectures on finite fields and galois rings

Название: Lectures on finite fields and galois rings
ISBN: 9812385703 ISBN-13(EAN): 9789812385703
Издательство: World Scientific Publishing
Цена: 2965 р.
Наличие на складе: Поставка под заказ.
Описание: This is a textbook for graduate and upper level undergraduate students in mathematics, computer science, communication engineering and other fields. The explicit construction of finite fields and the computation in finite fields are emphasized. In particular, the construction of irreducible polynomials and the normal basis of finite fields are included.

This book has been written in a friendly style, so that lecturers can easily use it as a text and students can use it for self-study. A great number of exercises have been incorporated.


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