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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
Классификация:
Биография и автобиография
Математика
Алгебра
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: 8796 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.
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Galois Cohomology

Автор: Serre Jean-Pierre, Ion P.
Название: Galois Cohomology
ISBN: 3540421920 ISBN-13(EAN): 9783540421924
Издательство: Springer
Цена: 3956 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.
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Galois Theory

Автор: Escofier Jean-Pierre, Schneps L.
Название: Galois Theory
ISBN: 0387987657 ISBN-13(EAN): 9780387987651
Издательство: Springer
Цена: 4131 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.
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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: 8206 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.
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Central Simple Algebras and Galois Cohomology

Автор: Philippe Gille
Название: Central Simple Algebras and Galois Cohomology
ISBN: 0521861039 ISBN-13(EAN): 9780521861038
Издательство: Cambridge Academ
Цена: 4930 р.
Наличие на складе: Поставка под заказ.
Описание: This book is the first comprehensive, modern introduction to the theory of central simple algebras over arbitrary fields. Starting from the basics, it reaches such advanced results as the Merkurjev-Suslin theorem. This theorem is both the culmination of work initiated by Brauer, Noether, Hasse and Albert and the starting point of current research in motivic cohomology theory by Voevodsky, Suslin, Rost and others. Assuming only a solid background in algebra, but no homological algebra, the book covers the basic theory of central simple algebras, methods of Galois descent and Galois cohomology, Severi-Brauer varieties, residue maps and, finally, Milnor K-theory and K-cohomology. The last chapter rounds off the theory by presenting the results in positive characteristic, including the theorem of Bloch-Gabber-Kato. The book is suitable as a textbook for graduate students and as a reference for researchers working in algebra, algebraic geometry or K-theory.
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Galois Theory

Автор: Weintraub
Название: Galois Theory
ISBN: 0387287256 ISBN-13(EAN): 9780387287256
Издательство: Springer
Цена: 3515 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).
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Galois Theories

Автор: Francis Borceux
Название: Galois Theories
ISBN: 0521803098 ISBN-13(EAN): 9780521803090
Издательство: Cambridge Academ
Цена: 7888 р.
Наличие на складе: Поставка под заказ.
Описание: Starting from the classical finite-dimensional Galois theory of fields, this book develops Galois theory in a much more general context, presenting work by Grothendieck in terms of separable algebras and then proceeding to the infinite-dimensional case, which requires considering topological Galois groups. In the core of the book, the authors first formalise the categorical context in which a general Galois theorem holds, and then give applications to Galois theory for commutative rings, central extensions of groups, the topological theory of covering maps and a Galois theorem for toposes. The book is designed to be accessible to a wide audience: the prerequisites are first courses in algebra and general topology, together with some familiarity with the categorical notions of limit and adjoint functors. The first chapters are accessible to advanced undergraduates, with later ones at a graduate level. For all algebraists and category theorists this book will be a rewarding read.
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Exploratory Galois Theory

Автор: John Swallow
Название: Exploratory Galois Theory
ISBN: 0521836506 ISBN-13(EAN): 9780521836500
Издательство: Cambridge Academ
Цена: 5620 р.
Наличие на складе: Поставка под заказ.
Описание: Combining a concrete perspective with an exploration-based approach, Exploratory Galois Theory develops Galois theory at an entirely undergraduate level. The text grounds the presentation in the concept of algebraic numbers with complex approximations and assumes of its readers only a first course in abstract algebra. The author organizes the theory around natural questions about algebraic numbers, and exercises with hints and proof sketches encourage students' participation in the development. For readers with Maple or Mathematica, the text introduces tools for hands-on experimentation with finite extensions of the rational numbers, enabling a familiarity never before available to students of the subject. Exploratory Galois Theory includes classical applications, from ruler-and-compass constructions to solvability by radicals, and also outlines the generalization from subfields of the complex numbers to arbitrary fields. The text is appropriate for traditional lecture courses, for seminars, or for self-paced independent study by undergraduates and graduate students.
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Algebra / Volume I: Fields and Galois Theory

Автор: Lorenz Falko, Levy Silvio
Название: Algebra / Volume I: Fields and Galois Theory
ISBN: 0387289305 ISBN-13(EAN): 9780387289304
Издательство: Springer
Цена: 3515 р.
Наличие на складе: Нет в наличии.
Описание: From Math Reviews: "This is a charming textbook, introducing the reader to the classical parts of algebra. The exposition is admirably clear and lucidly written with only minimal prerequisites from linear algebra. The new concepts are, at least in the first part of the book, defined in the framework of the development of carefully selected problems. Thus, for instance, the transformation of the classical geometrical problems on constructions with ruler and compass in their algebraic setting in the first chapter introduces the reader spontaneously to such fundamental algebraic notions as field extension, the degree of an extension, etc... The book ends with an appendix containing exercises and notes on the previous parts of the book. However, brief historical comments and suggestions for further reading are also scattered through the text."
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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: 9855 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.
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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: 6015 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.
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Galois Theory

Автор: Rotman Joseph
Название: Galois Theory
ISBN: 0387985417 ISBN-13(EAN): 9780387985411
Издательство: Springer
Цена: 3515 р.
Наличие на складе: Нет в наличии.
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