Principles Applications Of Tensor Analysis
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Principles Applications Of Tensor Analysis
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Author : Matthew S. Smith
language : en
Publisher:
Release Date : 1963
Principles Applications Of Tensor Analysis written by Matthew S. Smith and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Calculus of tensors categories.
Principles And Applications Of Tensor Analysis
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Author : Matthew S Smith
language : en
Publisher:
Release Date : 2012-03-01
Principles And Applications Of Tensor Analysis written by Matthew S Smith and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-01 with categories.
Principles Of Tensor Calculus
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Author : Taha Sochi
language : en
Publisher: Taha Sochi
Release Date : 2022-08-23
Principles Of Tensor Calculus written by Taha Sochi and has been published by Taha Sochi this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-23 with Mathematics categories.
This book is based on my previous book: Tensor Calculus Made Simple, where the development of tensor calculus concepts and techniques are continued at a higher level. Unlike the previous book which is largely based on a Cartesian approach, the formulation in the present book is based on a general coordinate system. The book is furnished with an index as well as detailed sets of exercises to provide useful revision and practice. To facilitate linking related concepts and sections, cross referencing is used extensively throughout the book. The book also contains a number of graphic illustrations to help the readers to visualize the ideas and understand the subtle concepts. The book can be used as a text for an introductory or an intermediate level course on tensor calculus.
Tensor Analysis And Elementary Differential Geometry For Physicists And Engineers
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Author : Hung Nguyen-Schäfer
language : en
Publisher: Springer
Release Date : 2016-08-16
Tensor Analysis And Elementary Differential Geometry For Physicists And Engineers written by Hung Nguyen-Schäfer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-16 with Technology & Engineering categories.
This book presents tensors and differential geometry in a comprehensive and approachable manner, providing a bridge from the place where physics and engineering mathematics end, and the place where tensor analysis begins. Among the topics examined are tensor analysis, elementary differential geometry of moving surfaces, and k-differential forms. The book includes numerous examples with solutions and concrete calculations, which guide readers through these complex topics step by step. Mindful of the practical needs of engineers and physicists, book favors simplicity over a more rigorous, formal approach. The book shows readers how to work with tensors and differential geometry and how to apply them to modeling the physical and engineering world. The authors provide chapter-length treatment of topics at the intersection of advanced mathematics, and physics and engineering: • 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 The text reviews methods and applications in computational fluid dynamics; continuum mechanics; electrodynamics in special relativity; cosmology in the Minkowski four-dimensional space time; and relativistic and non-relativistic quantum mechanics. Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers benefits research scientists and practicing engineers in a variety of fields, who use tensor analysis and differential geometry in the context of applied physics, and electrical and mechanical engineering. It will also interest graduate students in applied physics and engineering.
Vector And Tensor Analysis
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Author : Louis Brand
language : en
Publisher:
Release Date : 1947
Vector And Tensor Analysis written by Louis Brand and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1947 with Calculus of tensors categories.
Dynamic Analysis Of Robot Manipulators
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Author : Constantinos A. Balafoutis
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Dynamic Analysis Of Robot Manipulators written by Constantinos A. Balafoutis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
The purpose of this monograph is to present computationally efficient algorithms for solving basic problems in robot manipulator dynamics. In par ticular, the following problems of rigid-link open-chain manipulator dynam ics are considered : i) computation of inverse dynamics, ii) computation of forward dynamics, and iii) generation of linearized dynamic models. Com putationally efficient solutions of these problems are prerequisites for real time robot applications and simulations. Cartesian tensor analysis is the mathematical foundation on which the above mentioned computational algorithms are based. In particular, it is shown in this monograph that by exploiting the relationships between second order Cartesian tensors and their vector invariants, a number of new tensor vector identities can be obtained. These identities enrich the theory of Carte sian tensors and allow us to manipulate complex Cartesian tensor equations effuctively. Moreover, based on these identities the classical vector descrip tion for the Newton-Euler equations of rigid body motion are rewritten in an equivalent tensor formulation which is shown to have computational advan tages over the classical vector formulation. 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. XlI Application of this tensor methodology to the dynamic analysis of rigid-link open-chain robot manipulators is simple and leads to an efficient fonnulation of the dynamic equations of motion.
Elementary Theory And Application Of Numerical Analysis
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Author : David G. Moursund
language : en
Publisher: Courier Corporation
Release Date : 1988-01-01
Elementary Theory And Application Of Numerical Analysis written by David G. Moursund and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-01-01 with Mathematics categories.
Concise, rigorous introduction to modern numerical analysis, especially error-analysis aspects of problems and algorithms discussed. The book focuses on a small number of basic concepts and techniques, emphasizing why each works. Exercises and answers.
Fundamentals Of Biomechanics
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Author : Ronald L. Huston
language : en
Publisher: CRC Press
Release Date : 2013-04-18
Fundamentals Of Biomechanics written by Ronald L. Huston and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-18 with Medical categories.
In the last three or four decades, studies of biomechanics have expanded from simple topical applications of elementary mechanics to entire areas of study. Studies and research in biomechanics now exceed those in basic mechanics itself, underlining the continuing and increasing importance of this area of study. With an emphasis on biodynamic modeling, Fundamentals of Biomechanics provides an accessible, basic understanding of the principles of biomechanics analyses. Following a brief introductory chapter, the book reviews gross human anatomy and basic terminology currently in use. It describes methods of analysis from elementary mathematics to elementary mechanics and goes on to fundamental concepts of the mechanics of materials. It then covers the modeling of biosystems and provides a brief overview of tissue biomechanics. The author then introduces the concepts of biodynamics and human body modeling, looking at the fundamentals of the kinematics, the kinetics, and the inertial properties of human body models. He supplies a more detailed analysis of kinematics, kinetics, and dynamics of these models and discusses the numerical procedures for solving the governing dynamical equations. The book concludes with a review of a few example applications of biodynamic models such as simple lifting, maneuvering in space, walking, swimming, and crash victim simulation. The inclusion of extensive lists of problems of varying difficulty, references, and an extensive bibliography add breadth and depth to the coverage. Focusing on biodynamic modeling to a degree not found in other texts, this book equips readers with the expertise in biomechanics they need for advanced studies, research, and employment in biomedical engineering.
Mathematical Methods For Physicists International Student Edition
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Author : George B. Arfken
language : en
Publisher: Elsevier
Release Date : 2005-07-05
Mathematical Methods For Physicists International Student Edition written by George B. Arfken and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-05 with Mathematics categories.
This best-selling title provides in one handy volume the essential mathematical tools and techniques used to solve problems in physics. It is a vital addition to the bookshelf of any serious student of physics or research professional in the field. The authors have put considerable effort into revamping this new edition. - Updates the leading graduate-level text in mathematical physics - Provides comprehensive coverage of the mathematics necessary for advanced study in physics and engineering - Focuses on problem-solving skills and offers a vast array of exercises - Clearly illustrates and proves mathematical relations New in the Sixth Edition: - Updated content throughout, based on users' feedback - More advanced sections, including differential forms and the elegant forms of Maxwell's equations - A new chapter on probability and statistics - More elementary sections have been deleted
Introduction To Tensor Analysis And The Calculus Of Moving Surfaces
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Author : Pavel Grinfeld
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-09-24
Introduction To Tensor Analysis And The Calculus Of Moving Surfaces written by Pavel Grinfeld and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-24 with Mathematics categories.
This textbook is distinguished from other texts on the subject by the depth of the presentation and the discussion of the calculus of moving surfaces, which is an extension of tensor calculus to deforming manifolds. Designed for advanced undergraduate and graduate students, this text invites its audience to take a fresh look at previously learned material through the prism of tensor calculus. Once the framework is mastered, the student is introduced to new material which includes differential geometry on manifolds, shape optimization, boundary perturbation and dynamic fluid film equations. The language of tensors, originally championed by Einstein, is as fundamental as the languages of calculus and linear algebra and is one that every technical scientist ought to speak. The tensor technique, invented at the turn of the 20th century, is now considered classical. Yet, as the author shows, it remains remarkably vital and relevant. The author’s skilled lecturing capabilities are evident by the inclusion of insightful examples and a plethora of exercises. A great deal of material is devoted to the geometric fundamentals, the mechanics of change of variables, the proper use of the tensor notation and the discussion of the interplay between algebra and geometry. The early chapters have many words and few equations. The definition of a tensor comes only in Chapter 6 – when the reader is ready for it. While this text maintains a consistent level of rigor, it takes great care to avoid formalizing the subject. The last part of the textbook is devoted to the Calculus of Moving Surfaces. It is the first textbook exposition of this important technique and is one of the gems of this text. A number of exciting applications of the calculus are presented including shape optimization, boundary perturbation of boundary value problems and dynamic fluid film equations developed by the author in recent years. Furthermore, the moving surfaces framework is used to offer new derivations of classical results such as the geodesic equation and the celebrated Gauss-Bonnet theorem.