Galois Theory of Linear Differential Equations, Van der Put Marius , Singer Michael F.

Автор: Weintraub, Steven
Название: Differential forms
ISBN: 0123944031 ISBN-13(EAN): 9780123944030
Издательство: Elsevier Science
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Описание: Offers many examples of computations and research applications across the fields of applied mathematics, engineering, and physics. This title provides a solid theoretical basis of how to develop and apply differential forms to real research problems. It includes computational methods for graphical results essential for math modeling.

Автор: Tignol Jean-Pierre
Название: Galois` Theory Of Algebraic Equations (Second Edition)
ISBN: 9814704695 ISBN-13(EAN): 9789814704694
Издательство: World Scientific Publishing
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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: Xie
Название: Differential Equations for Engineers
ISBN: 1107632951 ISBN-13(EAN): 9781107632950
Издательство: Cambridge Academ
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Описание: Xie presents a systematic introduction to differential equations for engineering students. The relevance of differential equations in engineering applications motivates readers, and studies of various types of differential equations are determined by engineering applications. The theory and techniques for solving differential equations are then applied to solve practical engineering problems.

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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Описание: This work 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.

Автор: Cox
Название: Galois Theory, 2nd Edition
ISBN: 1118072057 ISBN-13(EAN): 9781118072059
Издательство: Wiley
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Описание: This book brings one of the most colorful and influential theories in algebra to life for professional algebraists and students alike. The Second Edition features new exercises and an updated bibliography. A new discussion provides a different method for computing the Galois group of a quartic polynomial.

Автор: Volklein Helmut, Thompson J. G., Volklein H.
Название: Aspects of Galois Theory
ISBN: 0521637473 ISBN-13(EAN): 9780521637473
Издательство: Cambridge Academ
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Описание: This book comprises a collection of papers from a conference on Galois theory, bringing together articles from leading experts in the field. Topics are centred around the Inverse Galois Problem, covering the full range of methods and approaches in this area. Invaluable for all whose research involves Galois theory.