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

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 ordinary differential equations for engineering students and practitioners. Mathematical concepts and various techniques are presented in a clear, logical, and concise manner. Various visual features are used to highlight focus areas. Complete illustrative diagrams are used to facilitate mathematical modeling of application problems. Readers are motivated by a focus on the relevance of differential equations through their applications in various engineering disciplines. Studies of various types of differential equations are determined by engineering applications. Theory and techniques for solving differential equations are then applied to solve practical engineering problems. A step-by-step analysis is presented to model the engineering problems using differential equations from physical principles and to solve the differential equations using the easiest possible method. This book is suitable for undergraduate students in engineering.

Автор: John Swallow
Название: Exploratory Galois Theory
ISBN: 0521544998 ISBN-13(EAN): 9780521544993
Издательство: Cambridge Academ
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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.

Автор: Newman
Название: A Classical Introduction to Galois Theory
ISBN: 1118091396 ISBN-13(EAN): 9781118091395
Издательство: Wiley
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Описание: With a focus on one central theme (the Impossibility Theorem) throughout, this highly accessible introduction to Galois theory presents a classical treatment of the topic and poses questions related to the solvability of polynomial equations by radicals. Modern points of view are also discussed in contrast to the historical development and context.

Автор: Cox
Название: Galois Theory, 2nd Edition
ISBN: 1118072057 ISBN-13(EAN): 9781118072059
Издательство: Wiley
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Цена: 7103 р.
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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: Weintraub, Steven
Название: Differential forms
ISBN: 0123944031 ISBN-13(EAN): 9780123944030
Издательство: Elsevier Science
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Цена: 9504 р.
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Описание: Differential forms are a powerful mathematical technique to help students, researchers, and engineers solve problems in geometry and analysis, and their applications. They both unify and simplify results in concrete settings, and allow them to be clearly and effectively generalized to more abstract settings. Differential Forms has gained high recognition in the mathematical and scientific community as a powerful computational tool in solving research problems and simplifying very abstract problems. Differential Forms, 2nd Edition, is a solid resource for students and professionals needing a general understanding of the mathematical theory and to be able to apply that theory into practice.

Автор: Crespo, Teresa,
Название: Algebraic groups and differential Galois theory /
ISBN: 082185318X ISBN-13(EAN): 9780821853184
Издательство: Eurospan
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Цена: 8254 р.
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Автор: Magid, Andy R.
Название: Lectures on differential galois theory
ISBN: 0821870041 ISBN-13(EAN): 9780821870044
Издательство: Eurospan
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Цена: 3751 р.
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Описание: Deals with the differential Galois theory of linear homogeneous differential equations, whose differential Galois groups are algebraic matrix groups. This work is suitable as a textbook at the advanced graduate level.

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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Цена: 7477 р.
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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: 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: 4826 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.

Автор: John Swallow
Название: Exploratory Galois Theory
ISBN: 0521836506 ISBN-13(EAN): 9780521836500
Издательство: Cambridge Academ
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Цена: 11042 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.

Название: Groups, rings and galois theory (2nd edition)
ISBN: 9812386009 ISBN-13(EAN): 9789812386007
Издательство: World Scientific Publishing
Цена: 3221 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.

Автор: Edwards
Название: Galois Theory
ISBN: 038790980X ISBN-13(EAN): 9780387909806
Издательство: Springer
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Цена: 5847 р.
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Описание: Presents an introduction to Galois Theory. This book puts Galois`s ideas into historical perspective by tracing their antecedents in the works of Gauss, Lagrange, Newton, and even the ancient Babylonians. It explains the modern formulation of the theory. It includes many exercises, with their answers, and an English translation of Galois`s memoir.