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Tensor Analysis With Applications In Mechanics, Lebedev Leonid P Et Al


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Автор: Lebedev Leonid P Et Al
Название:  Tensor Analysis With Applications In Mechanics
ISBN: 9789813203648
Издательство: World Scientific Publishing
Классификация:
ISBN-10: 9813203641
Обложка/Формат: Paperback
Страницы: 380
Вес: 0.50 кг.
Дата издания: 20.05.2010
Язык: English
Размер: 229 x 152 x 20
Основная тема: Engineering / Civil Engineering
Ссылка на Издательство: Link
Поставляется из: Англии
Описание:

The tensorial nature of a quantity permits us to formulate transformation rules for its components under a change of basis. These rules are relatively simple and easily grasped by any engineering student familiar with matrix operators in linear algebra. More complex problems arise when one considers the tensor fields that describe continuum bodies. In this case general curvilinear coordinates become necessary. The principal basis of a curvilinear system is constructed as a set of vectors tangent to the coordinate lines. Another basis, called the dual basis, is also constructed in a special manner. The existence of these two bases is responsible for the mysterious covariant and contravariant terminology encountered in tensor discussions.

A tensor field is a tensor-valued function of position in space. The use of tensor fields allows us to present physical laws in a clear, compact form. A byproduct is a set of simple and clear rules for the representation of vector differential operators such as gradient, divergence, and Laplacian in curvilinear coordinate systems.

This book is a clear, concise, and self-contained treatment of tensors, tensor fields, and their applications. The book contains practically all the material on tensors needed for applications. It shows how this material is applied in mechanics, covering the foundations of the linear theories of elasticity and elastic shells.

The main results are all presented in the first four chapters. The remainder of the book shows how one can apply these results to differential geometry and the study of various types of objects in continuum mechanics such as elastic bodies, plates, and shells. Each chapter of this new edition is supplied with exercises and problems -- most with solutions, hints, or answers to help the reader progress. An extended appendix serves as a handbook-style summary of all important formulas contained in the book.




Core principles and applications of Corporate Finance, global edition

Автор: Ross Stephen
Название: Core principles and applications of Corporate Finance, global edition
ISBN: 0071221166 ISBN-13(EAN): 9780071221160
Издательство: McGraw-Hill
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Цена: 8578.00 р.
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Описание: Conveys important corporate finance concepts and applications. This text distills the subject of corporate finance down to its core, while also maintaining a decidedly modern approach.

Tensor Analysis With Applications In Mechanics

Автор: Lebedev Leonid P Et Al
Название: Tensor Analysis With Applications In Mechanics
ISBN: 9814313122 ISBN-13(EAN): 9789814313124
Издательство: World Scientific Publishing
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Цена: 19008.00 р.
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Описание: The tensorial nature of a quantity permits us to formulate transformation rules for its components under a change of basis. This book offers a self-contained treatment of tensors, tensor fields, and their applications.

Dynamic Analysis of Robot Manipulators: A Cartesian Tensor Approach (The Springer International Series in Engineering and Computer Science)

Автор: Constantinos A. Balafoutis (Author), Rajnikant V.
Название: Dynamic Analysis of Robot Manipulators: A Cartesian Tensor Approach (The Springer International Series in Engineering and Computer Science)
ISBN: 0792391454 ISBN-13(EAN): 9780792391456
Издательство: Springer
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Цена: 30606.00 р.
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Описание: Thus, based on Cartesian tensor analysis, a conceptually simple, easy to implement and computationally efficient tensor methodology is presented in this monograph for studying classical rigid body dynamics.

Diffusion Tensor Imaging

Автор: Stieltjes
Название: Diffusion Tensor Imaging
ISBN: 3642204554 ISBN-13(EAN): 9783642204555
Издательство: Springer
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Цена: 34799.00 р.
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Описание: This title details Diffusion Tensor Imaging (DTI) and its applications. It labels neuroanatomically important structures on both DTI-derived color maps and conventional MRI. It also schematically illustrates complex fiber architecture.

Real analysis with economic applications

Автор: Ok, E.
Название: Real analysis with economic applications
ISBN: 0691117683 ISBN-13(EAN): 9780691117683
Издательство: Wiley
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Цена: 17266.00 р.
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Описание: Addressing the topics of real analysis, this book discusses the elements of order theory, convex analysis, optimization, correspondences, linear and nonlinear functional analysis, fixed-point theory, dynamic programming, and calculus of variations. It includes fixed point theorems and applications to functional equations and optimization theory.

Tensor Analysis

Автор: Nelson Edward
Название: Tensor Analysis
ISBN: 069162304X ISBN-13(EAN): 9780691623047
Издательство: Wiley
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Цена: 4752.00 р.
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Описание: These notes are based on a course of lectures given by Professor Nelson at Princeton during the spring term of 1966. The subject of Brownian motion has long been of interest in mathematical probability. In these lectures, Professor Nelson traces the history of earlier work in Brownian motion, both the mathematical theory, and the natural phenomenon

Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers

Автор: Nguyen-Sch?fer
Название: Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers
ISBN: 3662484951 ISBN-13(EAN): 9783662484951
Издательство: Springer
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Цена: 20962.00 р.
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Описание: This book comprehensively presents topics, such as Dirac notation, tensor analysis, elementary differential geometry of moving surfaces, and k-differential forms. Additionally, two new chapters of Cartan differential forms and Dirac and tensor notations in quantum mechanics are added to this second edition. The reader is provided with hands-on calculations and worked-out examples at which he will learn how to handle the bra-ket notation, tensors, differential geometry, and differential forms; and to apply them to the physical and engineering world. Many methods and applications are given in CFD, continuum mechanics, electrodynamics in special relativity, cosmology in the Minkowski four-dimensional spacetime, and relativistic and non-relativistic quantum mechanics. Tensors, differential geometry, differential forms, and Dirac notation are very useful advanced mathematical tools in many fields of modern physics and computational engineering. They are involved in special and general relativity physics, quantum mechanics, cosmology, electrodynamics, computational fluid dynamics (CFD), and continuum mechanics. The target audience of this all-in-one book primarily comprises graduate students in mathematics, physics, engineering, research scientists, and engineers.


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