Tensor Algebra and Tensor Analysis for Engineers, Mikhail Itskov
Автор: Itskov, Mikhail Название: Tensor algebra and tensor analysis for engineers ISBN: 3319988050 ISBN-13(EAN): 9783319988054 Издательство: Springer Рейтинг: Цена: 60550.00 T 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: Mikhail Itskov Название: Tensor Algebra and Tensor Analysis for Engineers ISBN: 3642448186 ISBN-13(EAN): 9783642448188 Издательство: Springer Рейтинг: Цена: 65290.00 T 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: Mikhail Itskov Название: Tensor Algebra and Tensor Analysis for Engineers ISBN: 3319374435 ISBN-13(EAN): 9783319374437 Издательство: Springer Рейтинг: Цена: 69650.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This is the fourth and revised edition of a well-received book that aims at bridging the gap between the engineering course of tensor algebra on the one side and the mathematical course of classical linear algebra on the other side.
Автор: Mikhail Itskov Название: Tensor Algebra and Tensor Analysis for Engineers ISBN: 3642101038 ISBN-13(EAN): 9783642101038 Издательство: Springer Рейтинг: Цена: 51230.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Ideal for engineering students with some knowledge of matrix algebra, this text bridges the gap between tensor algebra and the treatment of linear transformations in classical linear algebra. This revised second edition has additional examples and exercises.
Автор: Gilles Pisier Название: Tensor Products of C*-Algebras and Operator Spaces: The Connes–Kirchberg Problem ISBN: 1108479014 ISBN-13(EAN): 9781108479011 Издательство: Cambridge Academ Рейтинг: Цена: 103490.00 T 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.
Автор: Nguyen-Sch?fer Название: Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers ISBN: 3662484951 ISBN-13(EAN): 9783662484951 Издательство: Springer Рейтинг: Цена: 139750.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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.
Автор: Hardy Yorick, Steeb Willi-Hans Название: Matrix Calculus, Kronecker Product and Tensor Product: A Practical Approach to Linear Algebra, Multilinear Algebra and Tensor Calculus with Software I ISBN: 9811202516 ISBN-13(EAN): 9789811202513 Издательство: World Scientific Publishing Рейтинг: Цена: 95040.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Our self-contained volume provides an accessible introduction to linear and multilinear algebra as well as tensor calculus. Besides the standard techniques for linear algebra, multilinear algebra and tensor calculus, many advanced topics are included where emphasis is placed on the Kronecker product and tensor product. The Kronecker product has widespread applications in signal processing, discrete wavelets, statistical physics, Hopf algebra, Yang-Baxter relations, computer graphics, fractals, quantum mechanics, quantum computing, entanglement, teleportation and partial trace. All these fields are covered comprehensively.The volume contains many detailed worked-out examples. Each chapter includes useful exercises and supplementary problems. In the last chapter, software implementations are provided for different concepts. The volume is well suited for pure and applied mathematicians as well as theoretical physicists and engineers.New topics added to the third edition are: mutually unbiased bases, Cayley transform, spectral theorem, nonnormal matrices, Gateaux derivatives and matrices, trace and partial trace, spin coherent states, Clebsch-Gordan series, entanglement, hyperdeterminant, tensor eigenvalue problem, Carleman matrix and Bell matrix, tensor fields and Ricci tensors, and software implementations.
Автор: Bhaben Chandra Kalita Название: Tensor Calculus and Applications: Simplified Tools and Techniques ISBN: 0367138069 ISBN-13(EAN): 9780367138066 Издательство: Taylor&Francis Рейтинг: Цена: 158230.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The aim of this book is to make the subject easier to understand. This book provides clear concepts, tools, and techniques to master the subject of Tensors, and can be used in many fields of research. Special applications are discussed in the book, in order to remove any confusion, and for absolute understanding of the subject.
Автор: Liqun Qi, Haibin Chen, Yannan Chen Название: Tensor Eigenvalues and their applications. ISBN: 9811080577 ISBN-13(EAN): 9789811080579 Издательство: Springer Рейтинг: Цена: 139750.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
This book offers an introduction to applications prompted by tensor analysis, especially by the spectral tensor theory developed in recent years. It covers applications of tensor eigenvalues in multilinear systems, exponential data fitting, tensor complementarity problems, and tensor eigenvalue complementarity problems. It also addresses higher-order diffusion tensor imaging, third-order symmetric and traceless tensors in liquid crystals, piezoelectric tensors, strong ellipticity for elasticity tensors, and higher-order tensors in quantum physics. This book is a valuable reference resource for researchers and graduate students who are interested in applications of tensor eigenvalues.
1 Introduction.- 2 Notes on point set topology.- 3 The finite dimensional real vector space.- 4 Tensor Algebra.- 5 Affine space and euclidean space.- 6 Tensor analysis in euclidean space.- 7 A primer on smooth manifolds.- B Further Reading.
Автор: Eremeyev, Victor A (gdansk Univ Of Technology, Poland) Lebedev, Leonid P (univ Of Colombia, Colombia) Cloud, Michael J (lawrence Technological Univ, U Название: Applications of tensor analysis in continuum mechanics ISBN: 9813238968 ISBN-13(EAN): 9789813238961 Издательство: World Scientific Publishing Рейтинг: Цена: 147840.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: 'A strong point of this book is its coverage of tensor theory, which is herein deemed both more readable and more substantial than many other historic continuum mechanics books. The book is self-contained. It serves admirably as a reference resource on fundamental principles and equations of tensor mathematics applied to continuum mechanics. Exercises and problem sets are useful for teaching ... The book is highly recommended as both a graduate textbook and a reference work for students and more senior researchers involved in theoretical and mathematical modelling of continuum mechanics of materials. Key concepts are well described in the text and are supplemented by informative exercises and problem sets with solutions, and comprehensive Appendices provide important equations for ease of reference.'Contemporary PhysicsA 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. 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.This book provides a clear, concise, and self-contained treatment of tensors and tensor fields. It covers the foundations of linear elasticity, shell theory, and generalized continuum media, offers hints, answers, and full solutions for many of the problems and exercises, and Includes a handbook-style summary of important tensor formulas.The book can be useful for beginners who are interested in the basics of tensor calculus. It also can be used by experienced readers who seek a comprehensive review on applications of the tensor calculus in mechanics.
Автор: Wilhelm Fl?gge Название: Tensor Analysis and Continuum Mechanics ISBN: 3642883842 ISBN-13(EAN): 9783642883842 Издательство: Springer Рейтинг: Цена: 65290.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Through several centuries there has been a lively interaction between mathematics and mechanics. While the undergraduate textbook literature in this country was becoming "vectorized" (lagging almost half a century behind the development in Europe), books dealing with various aspects of continuum mechanics took to tensors like fish to water.
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