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Symmetries, Johnson D.L.



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Цена: 3652р.
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Автор: Johnson D.L.
Название:  Symmetries
Издательство: Springer
Классификация:
ISBN: 1852332700
ISBN-13(EAN): 9781852332709
Обложка/Формат: Paperback
Страницы: 216
Вес: 0.381 кг.
Дата издания: 2002
Серия: Springer Undergraduate Mathematics Series
Язык: English
Издание: 1st ed. 2001. corr.
Иллюстрации: Biography
Размер: 23.37 x 15.65 x 1.19
Читательская аудитория: Postgraduate, research & scholarly
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: The main  object of study for this book is geometry, with group theory providing an appropriate language in which to express geometrical ideas.  Key features include: An overview of the preliminaries from group theory and geometry Coverage of the discrete subgroups of the Euclidean group A clear and complete derivation and classification of the 17 plane crystallographic groups Tessellations of various spaces (they are constructed, described and classified) A brief introduction to hyperbolic geometry.  Each chapter contains a number of exercises, most with solutions, and suggestions for background, alternative and further reading.  The authors accessible and down-to-earth approach make this an ideal introduction for readers in the second or third year of a mathematics undergraduate course.  It is also recommended for mechanical engineers, architects, physicists and crystallographers needing an understanding of 3-dimensional geometry, symmetry and trigonometry.
Дополнительное описание: Илюстрации: 60
Круг читателей: Undergraduate studentsLecturers
Язык: eng
Издание: 1st ed. 2001. Corr. 2nd p
Оглавление: Preface.- Metric Spaces and their Groups.- Isometries of the Plane.- Some Basic Group Theory.- Products of Reflections.- Generators and Reflections.- Discrete Subgroups of the Euclidean Group.- Plane Crystallographic Groups: OP Case.- Plane Crystallographic Groups: OR Case.- Tessellations of the Plane.- Tessellations of the Sphere.- Triangle Groups.- Regular Polytopes.- Solutions to Exercises.- Guide to the Literature.- Index of Notation.- Index





Form symmetries and reduction of order in difference equations

Автор: Sedaghat, Hassan
Название: Form symmetries and reduction of order in difference equations
ISBN: 1439807604 ISBN-13(EAN): 9781439807606
Издательство: Taylor&Francis
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Цена: 15593 р.
Наличие на складе: Поставка под заказ.

Описание:

Form Symmetries and Reduction of Order in Difference Equations presents a new approach to the formulation and analysis of difference equations in which the underlying space is typically an algebraic group. In some problems and applications, an additional algebraic or topological structure is assumed in order to define equations and obtain significant results about them. Reflecting the author's past research experience, the majority of examples involve equations in finite dimensional Euclidean spaces.

The book first introduces difference equations on groups, building a foundation for later chapters and illustrating the wide variety of possible formulations and interpretations of difference equations that occur in concrete contexts. The author then proposes a systematic method of decomposition for recursive difference equations that uses a semiconjugate relation between maps. Focusing on large classes of difference equations, he shows how to find the semiconjugate relations and accompanying factorizations of two difference equations with strictly lower orders. The final chapter goes beyond semiconjugacy by extending the fundamental ideas based on form symmetries to nonrecursive difference equations.

With numerous examples and exercises, this book is an ideal introduction to an exciting new domain in the area of difference equations. It takes a fresh and all-inclusive look at difference equations and develops a systematic procedure for examining how these equations are constructed and solved.

Symmetries, Lie Algebras and Representations

Автор: Fuchs/Schweigert
Название: Symmetries, Lie Algebras and Representations
ISBN: 0521541190 ISBN-13(EAN): 9780521541190
Издательство: Cambridge Academ
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Цена: 7821 р.
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Описание: This is an introduction to Lie algebras and their applications in physics. The first three chapters show how Lie algebras arise naturally from symmetries of physical systems and illustrate through examples much of their general structure. Chapters 4 to 13 give a detailed introduction to Lie algebras and their representations, covering the Cartan-Weyl basis, simple and affine Lie algebras, real forms and Lie groups, the Weyl group, automorphisms, loop algebras and highest weight representations. Chapters 14 to 22 cover specific further topics, such as Verma modules, Casimirs, tensor products and Clebsch-Gordan coefficients, invariant tensors, subalgebras and branching rules, Young tableaux, spinors, Clifford algebras and supersymmetry, representations on function spaces, and Hopf algebras and representation rings. A detailed reference list is provided, and many exercises and examples throughout the book illustrate the use of Lie algebras in real physical problems. The text is written at a level accessible to graduate students, but will also provide a comprehensive reference for researchers.

Differential Equations - Geometry, Symmetries and Integrability

Автор: Boris Kruglikov; Valentin Lychagin; Eldar Straume
Название: Differential Equations - Geometry, Symmetries and Integrability
ISBN: 3642008720 ISBN-13(EAN): 9783642008726
Издательство: Springer
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Цена: 17241 р.
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Описание: The Abel Symposium 2008 focused on the modern theory of differential equations and their applications in geometry, mechanics, and mathematical physics. This title consists of original contributions and overview lectures of the participants of the Symposium. It includes papers that present the modern approach to this classical subject.

Groups and Symmetries

Автор: Yvette Kosmann-Schwarzbach
Название: Groups and Symmetries
ISBN: 0387788654 ISBN-13(EAN): 9780387788654
Издательство: Springer
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Цена: 5746 р.
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Описание: The theory of group representations is a fundamental subject at the intersection of algebra, geometry and analysis, with innumerable applications in other domains of pure mathematics and in the physical sciences. This book offers an introduction to both the theory of group representations and its applications in quantum mechanics.

Pseudo-Differential Operators and Symmetries

Автор: Michael Ruzhansky; Ville Turunen
Название: Pseudo-Differential Operators and Symmetries
ISBN: 3764385138 ISBN-13(EAN): 9783764385132
Издательство: Springer
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Цена: 7310 р.
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Описание: Traditionally, the theory of pseudo-differential operators was introduced in the Euclidean setting with the aim of tackling a number of important problems in analysis and in the theory of partial differential equations. This book presents a monograph that develops a global quantization theory of pseudo-differential operators on compact Lie groups.

Riemann And Klein Surfaces, Automorphisms, Symmetries And Moduli Spaces (Conm/629)

Автор: Izquierdo, Broughton, Costa & Ro
Название: Riemann And Klein Surfaces, Automorphisms, Symmetries And Moduli Spaces (Conm/629)
ISBN: 1470410931 ISBN-13(EAN): 9781470410933
Издательство: Eurospan
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Цена: 14936 р.
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Описание: This volume contains the proceedings of the conference on Riemann and Klein Surfaces, Symmetries and Moduli Spaces, in honor of Emilio Bujalance, held from June 24-28, 2013, at Linkoping University.The conference and this volume are devoted to the mathematics that Emilio Bujalance has worked with in the following areas, all with a computational flavor: Riemann and Klein surfaces, automorphisms of real and complex surfaces, group actions on surfaces and topological properties of moduli spaces of complex curves and Abelian varieties.

Differential Equations - Geometry, Symmetries and Integrability

Автор: Boris Kruglikov; Valentin Lychagin; Eldar Straume
Название: Differential Equations - Geometry, Symmetries and Integrability
ISBN: 3642269338 ISBN-13(EAN): 9783642269332
Издательство: Springer
Рейтинг:
Цена: 17241 р.
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Описание: This book contains papers presented at the Abel Symposium 2008, which focused on the modern theory of differential equations and their applications in geometry, mechanics, and mathematical physics. It presents a modern approach to this classical subject.

Metamorphoses of Hamiltonian Systems with Symmetries

Автор: Efstathiou Konstantinos
Название: Metamorphoses of Hamiltonian Systems with Symmetries
ISBN: 354024316X ISBN-13(EAN): 9783540243168
Издательство: Springer
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Цена: 3652 р.
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Описание: Modern notions and important tools of classical mechanics are used in the study of concrete examples that model physically significant molecular and atomic systems. The parametric nature of these examples leads naturally to the study of the major qualitative changes of such systems (metamorphoses) as the parameters are varied. The symmetries of these systems, discrete or continuous, exact or approximate, are used to simplify the problem through a number of mathematical tools and techniques like normalization and reduction. The book moves gradually from finding relative equilibria using symmetry, to the Hamiltonian Hopf bifurcation and its relation to monodromy and, finally, to generalizations of monodromy.

Symmetries of Compact Riemann Surfaces

Автор: Bujalance
Название: Symmetries of Compact Riemann Surfaces
ISBN: 3642148271 ISBN-13(EAN): 9783642148279
Издательство: Springer
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Цена: 3652 р.
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Описание: This monograph covers symmetries of compact Riemann surfaces. It examines the number of conjugacy classes of symmetries, the numbers of ovals of symmetries and the symmetry types of Riemann surfaces.

Reflections on Quanta, Symmetries, and Supersymmetries

Автор: Varadarajan
Название: Reflections on Quanta, Symmetries, and Supersymmetries
ISBN: 1441906665 ISBN-13(EAN): 9781441906663
Издательство: Springer
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Цена: 12539 р.
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Описание: This is a collection of essays based on lectures that author has given on various occasions on foundation of quantum theory, symmetries and representation theory, and the quantum theory of the superworld created by physicists. The lectures are linked by a unifying theme: how the quantum world and superworld appear under the lens of symmetry and supersymmetry. In the world of ultra-small times and distances such as the Planck length and Planck time, physicists believe no measurements are possible and so the structure of spacetime itself is an unknown that has to be first understood. There have been suggestions (Volovich hypothesis) that world geometry at such energy regimes is non-archimedian and some of the lectures explore the consequences of such a hypothesis. Ultimately, symmetries and supersymmetries are described by the representation of groups and supergroups. The author's interest in representation is a lifelong one and evolved slowly, and owes a great deal to conversations and discussions he had with George Mackey and Harish-Chandra. The book concludes with a retrospective look at these conversations.


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