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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: Springer
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
Ссылка на Издательство: Link
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
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Цена: 7696 р.
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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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Fields and Galois Theory

Автор: Howie
Название: Fields and Galois Theory
ISBN: 1852339861 ISBN-13(EAN): 9781852339869
Издательство: Springer
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Цена: 2691 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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Exploratory Galois Theory

Автор: John Swallow
Название: Exploratory Galois Theory
ISBN: 0521836506 ISBN-13(EAN): 9780521836500
Издательство: Cambridge Academ
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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
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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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Exploratory Galois Theory

Автор: John Swallow
Название: Exploratory Galois Theory
ISBN: 0521544998 ISBN-13(EAN): 9780521544993
Издательство: Cambridge Academ
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Цена: 3067 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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Progress in Galois Theory / Proceedings of John Thompson`s 70th Birthday Conference

Автор: Voelklein Helmut, Shaska Tanush
Название: Progress in Galois Theory / Proceedings of John Thompson`s 70th Birthday Conference
ISBN: 0387235337 ISBN-13(EAN): 9780387235332
Издательство: Springer
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Цена: 13859 р.
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Описание: The theme of this book are the interactions between group theory and algebra/geometry/number theory, showing ubiquity and power of the basic principle of Galois theory. The book presents recent developments in a major line of work about covers of the projective line (and other curves), their fields of definition and parameter spaces, and associated questions about arithmetic fundamental groups. This is intimately tied up with the Inverse Problem of Galois Theory, and uses methods of algebraic geometry, group theory and number theory.

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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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Classical Galois theory with examples, 2 nd ed.

Автор: Gaal, Lisl,
Название: Classical Galois theory with examples, 2 nd ed.
ISBN: 0821813757 ISBN-13(EAN): 9780821813751
Издательство: Oxford Academ
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Цена: 2323 р.
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Описание: Galois theory is one of the most beautiful subjects in mathematics, but it is heard to appreciate this fact fully without seeing specific examples. Numerous examples are therefore included throughout the text, in the hope that they will lead to a deeper understanding and genuine appreciation of the more abstract and advanced literature on Galois theory. This book is intended for beginning graduate students who already have some background in algebra, including some elementary theory of groups, rings and fields. The expositions and proofs are intended to present Galois theory in as simple a manner as possible, sometimes at the expense of brevity. The book is for students and intends to make them take an active part in mathematics rather than merely read, nod their heads at appropriate places, skip the exercises, and continue on to the next section.

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Groups, rings and galois theory (2nd edition)

Название: Groups, rings and galois theory (2nd edition)
ISBN: 9812385762 ISBN-13(EAN): 9789812385765
Издательство: World Scientific Publishing
Цена: 5624 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: 9812385045 ISBN-13(EAN): 9789812385048
Издательство: World Scientific Publishing
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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
Рейтинг:
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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