Introduction to tensor analysis and the calculus of moving surfaces, Grinfeld, Pavel

Автор: Ralph Abraham; Jerrold E. Marsden; Tudor Ratiu
Название: Manifolds, Tensor Analysis, and Applications
ISBN: 1461269903 ISBN-13(EAN): 9781461269908
Издательство: Springer
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Цена: 18167.00 р.
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Описание: This book presents core material in nonlinear analysis, offering working knowledge of manifolds, dynamical systems, tensors and differential forms. Coverage includes Hamiltonian mechanics, fluid mechanics, electromagnetism, plasma dynamics and control theory.

Автор: Mikhail Itskov
Название: Tensor Algebra and Tensor Analysis for Engineers
ISBN: 3642101038 ISBN-13(EAN): 9783642101038
Издательство: Springer
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Цена: 7685.00 р.
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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: Greenfield Pavel
Название: Introduction to Tensor Analysis and the Calculus of Moving S
ISBN: 1461478669 ISBN-13(EAN): 9781461478669
Издательство: Springer
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Цена: 8384.00 р.
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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: 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.

Автор: Emil De Souza Sanchez Filho
Название: Tensor Calculus for Engineers and Physicists
ISBN: 3319315196 ISBN-13(EAN): 9783319315195
Издательство: Springer
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Цена: 13974.00 р.
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Описание:

This textbook provides a rigorous approach to tensor manifolds in several aspects relevant for Engineers and Physicists working in industry or academia. With a thorough, comprehensive, and unified presentation, this book offers insights into several topics of tensor analysis, which covers all aspects of n-dimensional spaces.

The main purpose of this book is to give a self-contained yet simple, correct and comprehensive mathematical explanation of tensor calculus for undergraduate and graduate students and for professionals. In addition to many worked problems, this book features a selection of examples, solved step by step. Although no emphasis is placed on special and particular problems of Engineering or Physics, the text covers the fundamentals of these fields of science. The book makes a brief introduction into the basic concept of the tensorial formalism so as to allow the reader to make a quick and easy review of the essential topics that enable having the grounds for the subsequent themes, without needing to resort to other bibliographical sources on tensors.

Chapter 1 deals with Fundamental Concepts about tensors and chapter 2 is devoted to the study of covariant, absolute and contravariant derivatives. The chapters 3 and 4 are dedicated to the Integral Theorems and Differential Operators, respectively. Chapter 5 deals with Riemann Spaces, and finally the chapter 6 presents a concise study of the Parallelism of Vectors. It also shows how to solve various problems of several particular manifolds.

Название: Applied matrix and tensor variate data analysis
ISBN: 443155386X ISBN-13(EAN): 9784431553861
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This book provides comprehensive reviews of recent progress in matrix variate and tensor variate data analysis from applied points of view.

Автор: James G. Simmonds
Название: A Brief on Tensor Analysis
ISBN: 038794088X ISBN-13(EAN): 9780387940885
Издательство: Springer
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Цена: 5723.00 р.
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Описание: Presents tools for formulating and manipulating the field equations of Continuum Mechanics. This book introduces the mathematics of tensor analysis in four, well-separated stages. It stresses the physical interpretation and application of vectors and tensors. It features a section on differential geometry.

Автор: Mikhail Itskov
Название: Tensor Algebra and Tensor Analysis for Engineers
ISBN: 3319374435 ISBN-13(EAN): 9783319374437
Издательство: Springer
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Цена: 10447.00 р.
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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: 3642448186 ISBN-13(EAN): 9783642448188
Издательство: Springer
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Цена: 9794.00 р.
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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: James G. Simmonds
Название: A Brief on Tensor Analysis
ISBN: 1461264243 ISBN-13(EAN): 9781461264248
Издательство: Springer
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Цена: 5723.00 р.
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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.