Formulations of General Relativity: Gravity, Spinors and Differential Forms, Kirill Krasnov
Автор: Vaz, Jr., Jayme (professor Of Mathematical Physics, University Of Campinas, Brazil) Da Rocha, Jr., Roldao (associate Professor, Abc Federal University Название: Introduction to clifford algebras and spinors ISBN: 0198836287 ISBN-13(EAN): 9780198836285 Издательство: Oxford Academ Рейтинг: Цена: 5146.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides a unique pedagogical introduction to clifford algebras, with a focus on spinors. It bridges the gap between mathematics and physics, merging both applications and the formal approach. It provides detailed worked examples throughout to help understand the ideas presented.
Описание: Causal fermion systems and Riemannian fermion systems are proposed as a framework for describing non-smooth geometries. In particular, this framework provides a setting for spinors on singular spaces. The underlying topological structures are introduced and analysed. The connection to the spin condition in differential topology is worked out.
Автор: Paul Dirac Название: Spinors in Hilbert Space ISBN: 1475700369 ISBN-13(EAN): 9781475700367 Издательство: Springer Рейтинг: Цена: 13060.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Hilbert Space The words "Hilbert space" here will always denote what math- ematicians call a separable Hilbert space. It is again a Hilbert vector, but it is a real Hilbert vector, with only real coordinates. Thus a complex Hilbert vector uniquely determines a real Hilbert vector.
Автор: Gerardo F. Torres del Castillo Название: 3-D Spinors, Spin-Weighted Functions and their Applications ISBN: 1461264162 ISBN-13(EAN): 9781461264163 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book on the theory of three-dimensional spinors and their applications fills an important gap in the literature. From the reviews:"Gathers much of what can be done with 3-D spinors in an easy-to-read, self-contained form designed for applications that will supplement many available spinor treatments.
Автор: Zhelnorovich Vladimir A. Название: Theory of Spinors and Its Application in Physics and Mechanics ISBN: 3030278352 ISBN-13(EAN): 9783030278359 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book contains a systematic exposition of the theory of spinors in finite-dimensional Euclidean and Riemannian spaces. The applications of spinors in field theory and relativistic mechanics of continuous media are considered.The main mathematical part is connected with the study of invariant algebraic and geometric relations between spinors and tensors. The theory of spinors and the methods of the tensor representation of spinors and spinor equations are thoroughly expounded in four-dimensional and three-dimensional spaces. Very useful and important relations are derived that express the derivatives of the spinor fields in terms of the derivatives of various tensor fields.The problems associated with an invariant description of spinors as objects that do not depend on the choice of a coordinate system are addressed in detail. As an application, the author considers an invariant tensor formulation of certain classes of differential spinor equations containing, in particular, the most important spinor equations of field theory and quantum mechanics. Exact solutions of the Einstein–Dirac equations, nonlinear Heisenberg’s spinor equations, and equations for relativistic spin fluids are given.The book presents a large body of factual material and is suited for use as a handbook. It is intended for specialists in theoretical physics, as well as for students and post-graduate students of physical and mathematical specialties.
This volume presents a collection of problems and solutions in differential geometry with applications. Both introductory and advanced topics are introduced in an easy-to-digest manner, with the materials of the volume being self-contained. In particular, curves, surfaces, Riemannian and pseudo-Riemannian manifolds, Hodge duality operator, vector fields and Lie series, differential forms, matrix-valued differential forms, Maurer-Cartan form, and the Lie derivative are covered.
Readers will find useful applications to special and general relativity, Yang-Mills theory, hydrodynamics and field theory. Besides the solved problems, each chapter contains stimulating supplementary problems and software implementations are also included. The volume will not only benefit students in mathematics, applied mathematics and theoretical physics, but also researchers in the field of differential geometry.
This volume presents a collection of problems and solutions in differential geometry with applications. Both introductory and advanced topics are introduced in an easy-to-digest manner, with the materials of the volume being self-contained. In particular, curves, surfaces, Riemannian and pseudo-Riemannian manifolds, Hodge duality operator, vector fields and Lie series, differential forms, matrix-valued differential forms, Maurer-Cartan form, and the Lie derivative are covered.
Readers will find useful applications to special and general relativity, Yang-Mills theory, hydrodynamics and field theory. Besides the solved problems, each chapter contains stimulating supplementary problems and software implementations are also included. The volume will not only benefit students in mathematics, applied mathematics and theoretical physics, but also researchers in the field of differential geometry.
Автор: Penrose, Roger Rindler, Wolfgang Название: Spinors and Space Time Volume 2 ISBN: 0521347866 ISBN-13(EAN): 9780521347860 Издательство: Cambridge Academ Рейтинг: Цена: 13306.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In the two volumes that comprise this work Roger Penrose and Wolfgang Rindler introduce the calculus of 2-spinors and the theory of twistors, and discuss in detail how these powerful and elegant methods may be used to elucidate the structure and properties of space-time.
Автор: Lee, Taeyoung Leok, Melvin Mcclamroch, N. Harris Название: Global formulations of lagrangian and hamiltonian dynamics on manifolds ISBN: 3319569511 ISBN-13(EAN): 9783319569512 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides an accessible introduction to the variational formulation of Lagrangian and Hamiltonian mechanics, with a novel emphasis on global descriptions of the dynamics, which is a significant conceptual departure from more traditional approaches based on the use of local coordinates on the configuration manifold.
Автор: C. Tabarrok; F.P. Rimrott Название: Variational Methods and Complementary Formulations in Dynamics ISBN: 0792329236 ISBN-13(EAN): 9780792329237 Издательство: Springer Рейтинг: Цена: 32652.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Variational methods give a versatile framework for several branches of theoretical mechanics. For problems in dynamics, variational formulations provide a powerful alternative to vector methods. This work describes differential variational formulations followed by integral formulations. It also includes an account of the calculus of variations.
Автор: C. Tabarrok; F.P. Rimrott Название: Variational Methods and Complementary Formulations in Dynamics ISBN: 9048144221 ISBN-13(EAN): 9789048144228 Издательство: Springer Рейтинг: Цена: 32651.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A fascinating dis- cipline, analytical mechanics is not only indispensable for the solution of certain mechanics problems but also contributes so effectively towards a fundamental under- standing of the subject of mechanics and its applications.
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