An Introduction to Tensor Analysis, Koranga Bipin Singh, Padaliya Sanjay Kumar
Автор: Greenfield Pavel Название: Introduction to Tensor Analysis and the Calculus of Moving S ISBN: 1461478669 ISBN-13(EAN): 9781461478669 Издательство: Springer Рейтинг: Цена: 8384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This introduction to tensor calculus features over 150 exercises. It uses an informal approach, focuses on concrete objects, and appeals to the reader`s intuition with regard to fundamental concepts, such as the Euclidean space, surface, and length.
Описание: This advanced volume of lecture notes presents an open problem at the frontier of research into operator algebra theory, based on the author`s university lecture courses and written in a widely accessible style for researchers and Ph.D. students with little experience in the area.
Автор: Hackbusch Название: Tensor Spaces and Numerical Tensor Calculus ISBN: 3642280269 ISBN-13(EAN): 9783642280269 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Special numerical techniques are already needed to deal with nxn matrices for large n.Tensor data are of size nxnx...xn=n^d, where n^d exceeds the computer memory by far. They appear for problems of high spatial dimensions. Since standard methods fail, a particular tensor calculus is needed to treat such problems. The monograph describes the methods how tensors can be practically treated and how numerical operations can be performed. Applications are problems from quantum chemistry, approximation of multivariate functions, solution of pde, e.g., with stochastic coefficients, etc. ?
Название: Applied matrix and tensor variate data analysis ISBN: 443155386X ISBN-13(EAN): 9784431553861 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides comprehensive reviews of recent progress in matrix variate and tensor variate data analysis from applied points of view.
Автор: Lebedev Leonid P Et Al Название: Tensor Analysis With Applications In Mechanics ISBN: 9814313122 ISBN-13(EAN): 9789814313124 Издательство: World Scientific Publishing Рейтинг: Цена: 19008.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Lebedev Leonid P Et Al Название: Tensor Analysis With Applications In Mechanics ISBN: 9813203641 ISBN-13(EAN): 9789813203648 Издательство: World Scientific Publishing Цена: 7603.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Описание: This introduction to tensor calculus features over 150 exercises. It uses an informal approach, focuses on concrete objects, and appeals to the reader`s intuition with regard to fundamental concepts, such as the Euclidean space, surface, and length.
Автор: Mikhail Itskov Название: Tensor Algebra and Tensor Analysis for Engineers ISBN: 3030075362 ISBN-13(EAN): 9783030075361 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is the fifth and revised edition of a well-received textbook that aims at bridging the gap between the engineering course of tensor algebra on the one hand and the mathematical course of classical linear algebra on the other hand. In accordance with the contemporary way of scientific publication, a modern absolute tensor notation is preferred throughout. The book provides a comprehensible exposition of the fundamental mathematical concepts of tensor calculus and enriches the presented material with many illustrative examples. As such, this new edition also discusses such modern topics of solid mechanics as electro- and magnetoelasticity. In addition, the book also includes advanced chapters dealing with recent developments in the theory of isotropic and anisotropic tensor functions and their applications to continuum mechanics. Hence, this textbook addresses graduate students as well as scientists working in this field and in particular dealing with multi-physical problems. In each chapter numerous exercises are included, allowing for self-study and intense practice. Solutions to the exercises are also provided.
Автор: James G. Simmonds Название: A Brief on Tensor Analysis ISBN: 1461264243 ISBN-13(EAN): 9781461264248 Издательство: Springer Рейтинг: Цена: 5723.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: There are three changes in the second edition. First, with the help of readers and colleagues-thanks to all-I have corrected typographical errors and made minor changes in substance and style. Second, I have added a fewmore Exercises, especially at the end ofChapter4.Third, I have appended a section on Differential Geometry, the essential mathematical tool in the study of two-dimensional structural shells and four-dimensional general relativity. JAMES G. SIMMONDS vii Preface to the First Edition When I was an undergraduate, working as a co-op student at North Ameri- can Aviation, I tried to learn something about tensors. In the Aeronautical Engineering Department at MIT, I had just finished an introductory course in classical mechanics that so impressed me that to this day I cannot watch a plane in flight-especially in a turn-without imaging it bristling with vec- tors. Near the end of the course the professor showed that, if an airplane is treated as a rigid body, there arises a mysterious collection of rather simple- looking integrals called the components of the moment of inertia tensor.
Автор: Mikhail Itskov Название: Tensor Algebra and Tensor Analysis for Engineers ISBN: 3642448186 ISBN-13(EAN): 9783642448188 Издательство: Springer Рейтинг: Цена: 9794.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides a comprehensive exposition of tensor analysis. It presents modern developments in the theory of isotropic and anisotropic tensor functions and includes numerous exercises with solutions.
Автор: Itskov, Mikhail Название: Tensor algebra and tensor analysis for engineers ISBN: 3319988050 ISBN-13(EAN): 9783319988054 Издательство: Springer Рейтинг: Цена: 9083.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is the fifth and revised edition of a well-received textbook that aims at bridging the gap between the engineering course of tensor algebra on the one hand and the mathematical course of classical linear algebra on the other hand. In accordance with the contemporary way of scientific publication, a modern absolute tensor notation is preferred throughout. The book provides a comprehensible exposition of the fundamental mathematical concepts of tensor calculus and enriches the presented material with many illustrative examples. As such, this new edition also discusses such modern topics of solid mechanics as electro- and magnetoelasticity. In addition, the book also includes advanced chapters dealing with recent developments in the theory of isotropic and anisotropic tensor functions and their applications to continuum mechanics. Hence, this textbook addresses graduate students as well as scientists working in this field and in particular dealing with multi-physical problems. In each chapter numerous exercises are included, allowing for self-study and intense practice. Solutions to the exercises are also provided.
Автор: Pisier, Gilles (texas A & M University) Название: Tensor products of c*-algebras and operator spaces ISBN: 1108749119 ISBN-13(EAN): 9781108749114 Издательство: Cambridge Academ Рейтинг: Цена: 7762.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This advanced volume of lecture notes presents an open problem at the frontier of research into operator algebra theory, based on the author`s university lecture courses and written in a widely accessible style for researchers and Ph.D. students with little experience in the area.
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