Topics in Modern Differential Geometry, Haesen

Название: Discrete differential geometry preliminary entry 38
ISBN: 3764386207 ISBN-13(EAN): 9783764386207
Издательство: Springer
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Цена: 37260.00 T
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Описание: This is the first book on a newly emerging field of discrete differential geometry providing an excellent way to access this exciting area. It provides discrete equivalents of the geometric notions and methods of differential geometry, such as notions of curvature and integrability for polyhedral surfaces.

Автор: Sussman Gerald Jay
Название: Functional Differential Geometry
ISBN: 0262019345 ISBN-13(EAN): 9780262019347
Издательство: MIT Press
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Цена: 62070.00 T
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An explanation of the mathematics needed as a foundation for a deep understanding of general relativity or quantum field theory.

Physics is naturally expressed in mathematical language. Students new to the subject must simultaneously learn an idiomatic mathematical language and the content that is expressed in that language. It is as if they were asked to read Les Miserables while struggling with French grammar. This book offers an innovative way to learn the differential geometry needed as a foundation for a deep understanding of general relativity or quantum field theory as taught at the college level.

The approach taken by the authors (and used in their classes at MIT for many years) differs from the conventional one in several ways, including an emphasis on the development of the covariant derivative and an avoidance of the use of traditional index notation for tensors in favor of a semantically richer language of vector fields and differential forms. But the biggest single difference is the authors' integration of computer programming into their explanations. By programming a computer to interpret a formula, the student soon learns whether or not a formula is correct. Students are led to improve their program, and as a result improve their understanding.

Автор: Xianzhe Dai; Xiaochun Rong
Название: Metric and Differential Geometry
ISBN: 3034807538 ISBN-13(EAN): 9783034807531
Издательство: Springer
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Цена: 130430.00 T
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Описание: The various contributions to this volume cover a broad range of topics in metric and differential geometry, including metric spaces, Ricci flow, Einstein manifolds, Kahler geometry, index theory, hypoelliptic Laplacian and analytic torsion.

Автор: Boris Kruglikov; Valentin Lychagin; Eldar Straume
Название: Differential Equations - Geometry, Symmetries and Integrability
ISBN: 3642269338 ISBN-13(EAN): 9783642269332
Издательство: Springer
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Цена: 153720.00 T
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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.

Автор: Man-Wah Wong; Hongmei Zhu
Название: Pseudo-Differential Operators: Groups, Geometry and Applications
ISBN: 3319475118 ISBN-13(EAN): 9783319475110
Издательство: Springer
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Цена: 93160.00 T
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Описание: Pseudo-Differential Operators on the Affine Group.- Pseudo-Differential Operators on Non-Isotropic Heisenberg Groups with Multi-Dimensional Center.- Curvatures of the Heisenberg Group.- Ellipticity with Global Projection Conditions.- Multilinear Localization Operators Associated to Quaternion Fourier Transforms.- A Time-Frequency Relationship between the Langevin Equation and the Harmonic Oscillator.- Are There Quantum Operators and Wave Functions in Standard Probability Theory.- A Class of Non-Markovian Pseudo-Differential Operators of Lйvy Type.- On the Solvability of Some Systems of Integro-Differential Equations with Anomalous Diffusion.- Visualizing Discrete Complex-Valued Time-Frequency Representations.- The Reassigned Spectrogram of the Stockwell transform.- Continuous Multi-Wavelet Transforms for Blind Signal Separation.

Автор: Alvarez Lopez Jesus & Garcia-Rio Eduardo
Название: Differential Geometry - Proceedings Of The Viii International Colloquium
ISBN: 9814261165 ISBN-13(EAN): 9789814261166
Издательство: World Scientific Publishing
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Цена: 116160.00 T
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Описание: Contains research and expository papers on advances in foliations and Riemannian geometry. This work covers topics including: topology, geometry, dynamics and analysis of foliations, curvature, submanifold theory, Lie groups and harmonic maps.