Tensor Calculus and Analytical Dynamics, Papastavridis, John G.
Автор: Kalita, Bhaben Chandra (Emeritus Professor, Dept. of Mathematics, Gauhati University, India) Название: Tensor Calculus and Applications ISBN: 0367780143 ISBN-13(EAN): 9780367780142 Издательство: Taylor&Francis Рейтинг: Цена: 7961.00 р. 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: Emil De Souza Sanchez Filho Название: Tensor Calculus for Engineers and Physicists ISBN: 3319315196 ISBN-13(EAN): 9783319315195 Издательство: Springer Рейтинг: Цена: 12196.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Bhaben Chandra Kalita Название: Tensor Calculus and Applications: Simplified Tools and Techniques ISBN: 0367138069 ISBN-13(EAN): 9780367138066 Издательство: Taylor&Francis Рейтинг: Цена: 25265.00 р. 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.
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: Kotian Название: Diffusion Tensor Imaging and Fractional Anisotropy ISBN: 9811950008 ISBN-13(EAN): 9789811950001 Издательство: Springer Рейтинг: Цена: 9756.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book covers all aspects of one of the most advanced magnetic resonance imaging techniques, namely Diffusion Tensor Imaging (DTI) and Fractional Anisotropy (FA) values in early Parkinson’s disease (PD) patients. It provides step-by-step descriptions of DTI and its use in the early diagnosis of Parkinson’s disease by using FA values at several grey and white matter regions of the brain with helpful MRI DTI images. It includes clear flow charts with MRI DTI imaging protocol for Parkinson’s disease to aid in early diagnosis and treatment. The book covers essential information on anatomy and pathology in Parkinson’s disease and includes dedicated chapters on diffusion tensor imaging and FA in Parkinson’s disease. Additionally, it covers the role of magnetic resonance imaging in Parkinson’s disease with routine findings for Parkinson’s disease in MRI, followed by advanced imaging biomarkers and predictors in Parkinson’s disease. The book will assist the practitioners in the early detection of Parkinson’s disease using specific imaging biomarkers with the help of FA values, which will help in the early treatment of PD patients and thus extend and improve their quality of life. It will also be relevant for MD radiology, M.Sc. medical imaging technology students/trainees and Ph.D. medical imaging graduates as well as B.Sc MIT students.
Автор: Irgens, Fridtjov Название: Tensor analysis ISBN: 3030034119 ISBN-13(EAN): 9783030034115 Издательство: Springer Рейтинг: Цена: 20733.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents tensors and tensor analysis as primary mathematical tools for engineering and engineering science students and researchers. The discussion is based on the concepts of vectors and vector analysis in three-dimensional Euclidean space, and although it takes the subject matter to an advanced level, the book starts with elementary geometrical vector algebra so that it is suitable as a first introduction to tensors and tensor analysis. Each chapter includes a number of problems for readers to solve, and solutions are provided in an Appendix at the end of the text.Chapter 1 introduces the necessary mathematical foundations for the chapters that follow, while Chapter 2 presents the equations of motions for bodies of continuous material. Chapter 3 offers a general definition of tensors and tensor fields in three-dimensional Euclidean space. Chapter 4 discusses a new family of tensors related to the deformation of continuous material. Chapter 5 then addresses constitutive equations for elastic materials and viscous fluids, which are presented as tensor equations relating the tensor concept of stress to the tensors describing deformation, rate of deformation and rotation. Chapter 6 investigates general coordinate systems in three-dimensional Euclidean space and Chapter 7 shows how the tensor equations discussed in chapters 4 and 5 are presented in general coordinates. Chapter 8 describes surface geometry in three-dimensional Euclidean space, Chapter 9 includes the most common integral theorems in two- and three-dimensional Euclidean space applied in continuum mechanics and mathematical physics.
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.- Appendices.
Описание: Using tensor analysis enables the reader to understand complex physical phenomena from the basic principles in continuum mechanics including the turbulence, its correlations and modeling to the complex Einstein` tensor equation.
Автор: Danielson, Donald Название: Vectors And Tensors In Engineering And Physics ISBN: 0813340802 ISBN-13(EAN): 9780813340807 Издательство: Taylor&Francis Рейтинг: Цена: 10411.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Anadi Jiban Das Название: Tensors ISBN: 1441924108 ISBN-13(EAN): 9781441924100 Издательство: Springer Рейтинг: Цена: 15957.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Here is a modern introduction to the theory of tensor algebra and tensor analysis. It discusses tensor algebra and introduces differential manifold. Coverage also details tensor analysis, differential forms, connection forms, and curvature tensor. In addition, the book investigates Riemannian and pseudo-Riemannian manifolds in great detail.
Автор: Hongyu Guo Название: What Are Tensors Exactly? ISBN: 9811241015 ISBN-13(EAN): 9789811241017 Издательство: World Scientific Publishing Рейтинг: Цена: 8712.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Tensors have numerous applications in physics and engineering. There is often a fuzzy haze surrounding the concept of tensor that puzzles many students. The old-fashioned definition is difficult to understand because it is not rigorous; the modern definitions are difficult to understand because they are rigorous but at a cost of being more abstract and less intuitive.
The goal of this book is to elucidate the concepts in an intuitive way but without loss of rigor, to help students gain deeper understanding. As a result, they will not need to recite those definitions in a parrot-like manner any more. This volume answers common questions and corrects many misconceptions about tensors. A large number of illuminating illustrations helps the reader to understand the concepts more easily.
This unique reference text will benefit researchers, professionals, academics, graduate students and undergraduate students.
Автор: De Sapio Название: Advanced Analytical Dynamics ISBN: 1107179602 ISBN-13(EAN): 9781107179608 Издательство: Cambridge Academ Рейтинг: Цена: 13622.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Intended for graduate students, this textbook provides an understanding of the theoretical underpinnings of analytical mechanics, as well as modern task-based approaches that can be exploited for real-world problems. Students will receive a timely perspective on applying theory to modern problems in areas like biomechanics and robotics.
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