Canonical Duality Theory, David Yang Gao; Vittorio Latorre; Ning Ruan

Название: Canonical Quantum Gravity
ISBN: 9814556645 ISBN-13(EAN): 9789814556644
Издательство: World Scientific Publishing
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Описание:

This book aims to present a pedagogical and self-consistent treatment of the canonical approach to Quantum Gravity, starting from its original formulation to the most recent developments in the field.

We start with an innovative and enlightening introduction to the formalism and concepts on which General Relativity has been built, giving all the information necessary in the later analysis. A brief sketch of the Standard Cosmological Model describing the Universe evolution is also given alongside the analysis of the inflationary mechanism. After deepening the fundamental properties of constrained dynamic systems, the Lagrangian approach to the Einsteinian Theory is presented in some detail, underlining the parallelism with non-Abelian gauge theories. Then, the basic concepts of the canonical approach to Quantum Mechanics are provided, focusing on all those formulations which are relevant for the Canonical Quantum Gravity problem. The Hamiltonian formulation of General Relativity and its constrained structure is then analyzed by comparing different formulations. The resulting quantum dynamics, described by the Wheeler-DeWitt equation, is fully discussed in order to outline its merits and limits. Afterwards, the reformulation of Canonical Quantum Gravity in terms of the Ashtekar-Barbero-Immirzi variables is faced by a detailed discussion of the resulting Loop Quantum Gravity Theory. Finally, we provide a consistent picture of canonical Quantum Cosmology by facing the main features of the Wheeler-DeWitt equation for the homogeneous Bianchi models and then by a detailed treatment of Loop Quantum Cosmology, including very recent developments.

Автор: Carr
Название: Convex Duality and Financial Mathematics
ISBN: 3319924915 ISBN-13(EAN): 9783319924915
Издательство: Springer
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Цена: 9781.00 р.
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Описание:

1. Convex Duality.- 2. Financial Models in One Period.- 3. Finite Period Financial Models.- 4. Continuous Financial Models.- References.

Автор: Sorin-Mihai Grad
Название: Vector Optimization and Monotone Operators via Convex Duality
ISBN: 3319361902 ISBN-13(EAN): 9783319361901
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This book investigates several duality approaches for vector optimization problems, while also comparing them. Special attention is paid to duality for linear vector optimization problems, for which a vector dual that avoids the shortcomings of the classical ones is proposed.

Автор: David Yang Gao; Vittorio Latorre; Ning Ruan
Название: Canonical Duality Theory
ISBN: 3319580167 ISBN-13(EAN): 9783319580166
Издательство: Springer
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Цена: 18167.00 р.
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Описание: This book on canonical duality theory provides a comprehensive review of its philosophical origin, physics foundation, and mathematical statements in both finite- and infinite-dimensional spaces.

Автор: David Yang Gao
Название: Complementarity, Duality and Symmetry in Nonlinear Mechanics
ISBN: 9401571198 ISBN-13(EAN): 9789401571197
Издательство: Springer
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Описание: Proceedings of the IUTAM Symposium

Автор: Pierre Deymier; Keith Runge
Название: Sound Topology, Duality, Coherence and Wave-Mixing
ISBN: 3319623796 ISBN-13(EAN): 9783319623795
Издательство: Springer
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Цена: 20962.00 р.
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Описание: This book offers an essential introduction to the notions of sound wave topology, duality, coherence and wave-mixing, which constitute the emerging new science of sound.

Автор: Sorin-Mihai Grad
Название: Vector Optimization and Monotone Operators via Convex Duality
ISBN: 3319088998 ISBN-13(EAN): 9783319088990
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This book investigates several duality approaches for vector optimization problems, while also comparing them. Special attention is paid to duality for linear vector optimization problems, for which a vector dual that avoids the shortcomings of the classical ones is proposed.

Автор: David Yang Gao
Название: Duality Principles in Nonconvex Systems
ISBN: 1441948252 ISBN-13(EAN): 9781441948250
Издательство: Springer
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Цена: 25149.00 р.
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