Concepts From Tensor Analysis And Differential Geometry By Tracy Y Thomas
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Concepts From Tensor Analysis And Differential Geometry By Tracy Y Thomas
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Author :
language : en
Publisher: Elsevier
Release Date : 2000-04-01
Concepts From Tensor Analysis And Differential Geometry By Tracy Y Thomas written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-04-01 with Technology & Engineering categories.
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression. - Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering
Concepts From Tensor Analysis And Differential Geometry
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Author : Tracy Yerkes Thomas
language : en
Publisher:
Release Date : 2013-08
Concepts From Tensor Analysis And Differential Geometry written by Tracy Yerkes Thomas and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08 with categories.
Concepts From Tensor Analysis And Differential Geometry
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Author : Tracy Y. Thomas
language : en
Publisher: Elsevier
Release Date : 2016-06-03
Concepts From Tensor Analysis And Differential Geometry written by Tracy Y. Thomas and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-03 with Mathematics categories.
Concepts from Tensor Analysis and Differential Geometry discusses coordinate manifolds, scalars, vectors, and tensors. The book explains some interesting formal properties of a skew-symmetric tensor and the curl of a vector in a coordinate manifold of three dimensions. It also explains Riemann spaces, affinely connected spaces, normal coordinates, and the general theory of extension. The book explores differential invariants, transformation groups, Euclidean metric space, and the Frenet formulae. The text describes curves in space, surfaces in space, mixed surfaces, space tensors, including the formulae of Gaus and Weingarten. It presents the equations of two scalars K and Q which can be defined over a regular surface S in a three dimensional Riemannian space R. In the equation, the scalar K, which is an intrinsic differential invariant of the surface S, is known as the total or Gaussian curvature and the scalar U is the mean curvature of the surface. The book also tackles families of parallel surfaces, developable surfaces, asymptotic lines, and orthogonal ennuples. The text is intended for a one-semester course for graduate students of pure mathematics, of applied mathematics covering subjects such as the theory of relativity, fluid mechanics, elasticity, and plasticity theory.
Concepts From Tensor Analysis And Differential Geometry
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Author : Tracy Yerkes Thomas
language : it
Publisher:
Release Date : 1965
Concepts From Tensor Analysis And Differential Geometry written by Tracy Yerkes Thomas and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with categories.
Tensor Analysis And Differential Geometry
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Author :
language : en
Publisher:
Release Date : 1961
Tensor Analysis And Differential Geometry written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with categories.
Concepts From Tensor Analysis And Differential Geometry Second Edition
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Author : Tracy Yerkes THOMAS
language : en
Publisher:
Release Date : 1965
Concepts From Tensor Analysis And Differential Geometry Second Edition written by Tracy Yerkes THOMAS and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with categories.
Lectures On Tensor Analysis And Differential Geometry
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Author : Walther Mayer
language : en
Publisher:
Release Date : 1936
Lectures On Tensor Analysis And Differential Geometry written by Walther Mayer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1936 with Calculus of tensors categories.
Lectures On Tensor Analysis And Differential Geometry
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Author : Walther Mayer
language : en
Publisher:
Release Date : 1936
Lectures On Tensor Analysis And Differential Geometry written by Walther Mayer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1936 with Calculus of tensors categories.
Concepts From Tensor Analysis And Differential Geometry
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Author : Charles Louis Kuhn
language : en
Publisher:
Release Date : 1965
Concepts From Tensor Analysis And Differential Geometry written by Charles Louis Kuhn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with categories.
Tensor Analysis And Elementary Differential Geometry For Physicists And Engineers
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Author : Hung Nguyen-Schäfer
language : en
Publisher: Springer
Release Date : 2016-08-16
Tensor Analysis And Elementary Differential Geometry For Physicists And Engineers written by Hung Nguyen-Schäfer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-16 with Technology & Engineering categories.
This book presents tensors and differential geometry in a comprehensive and approachable manner, providing a bridge from the place where physics and engineering mathematics end, and the place where tensor analysis begins. Among the topics examined are tensor analysis, elementary differential geometry of moving surfaces, and k-differential forms. The book includes numerous examples with solutions and concrete calculations, which guide readers through these complex topics step by step. Mindful of the practical needs of engineers and physicists, book favors simplicity over a more rigorous, formal approach. The book shows readers how to work with tensors and differential geometry and how to apply them to modeling the physical and engineering world. The authors provide chapter-length treatment of topics at the intersection of advanced mathematics, and physics and engineering: • General Basis and Bra-Ket Notation • Tensor Analysis • Elementary Differential Geometry • Differential Forms • Applications of Tensors and Differential Geometry • Tensors and Bra-Ket Notation in Quantum Mechanics The text reviews methods and applications in computational fluid dynamics; continuum mechanics; electrodynamics in special relativity; cosmology in the Minkowski four-dimensional space time; and relativistic and non-relativistic quantum mechanics. Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers benefits research scientists and practicing engineers in a variety of fields, who use tensor analysis and differential geometry in the context of applied physics, and electrical and mechanical engineering. It will also interest graduate students in applied physics and engineering.