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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: 0.54 кг.
Дата издания: 1996
Серия: Vita Mathematica
Язык: ENG
Иллюстрации: 34 black & white illustrations, biography
Размер: 23.04 x 15.72 x 0.91 cm
Читательская аудитория: Postgraduate, research & scholarly
Рейтинг:
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: 7696 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.
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Galois Cohomology

Автор: Serre Jean-Pierre, Ion P.
Название: Galois Cohomology
ISBN: 3540421920 ISBN-13(EAN): 9783540421924
Издательство: Springer
Цена: 3461 р.
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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: Rotman Joseph
Название: Galois Theory
ISBN: 0387985417 ISBN-13(EAN): 9780387985411
Издательство: Springer
Цена: 3076 р.
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Galois Theory

Автор: Weintraub
Название: Galois Theory
ISBN: 0387287256 ISBN-13(EAN): 9780387287256
Издательство: Springer
Цена: 3076 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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Fields and Galois Theory

Автор: Howie
Название: Fields and Galois Theory
ISBN: 1852339861 ISBN-13(EAN): 9781852339869
Издательство: Springer
Цена: 3045 р.
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Описание: Provides an introduction to Galois theory, suitable for third- and fourth-year undergraduates and beginning graduates. Topics covered include rings and fields, integral domains and polynomials, field extensions and splitting fields, applications to geometry, finite fields, the Galois group, and equations.
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Lectures on finite fields and galois rings

Название: Lectures on finite fields and galois rings
ISBN: 9812385045 ISBN-13(EAN): 9789812385048
Издательство: World Scientific Publishing
Цена: 5624 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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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.

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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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Galois Theories

Автор: Francis Borceux
Название: Galois Theories
ISBN: 0521803098 ISBN-13(EAN): 9780521803090
Издательство: Cambridge Academ
Цена: 7012 р.
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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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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.
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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.
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Exploratory Galois Theory

Автор: John Swallow
Название: Exploratory Galois Theory
ISBN: 0521836506 ISBN-13(EAN): 9780521836500
Издательство: Cambridge Academ
Цена: 7449 р.
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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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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: 6311 р.
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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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