Principles And 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 And Applications Of Esr Spectroscopy
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Author : Anders Lund
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-01-04
Principles And Applications Of Esr Spectroscopy written by Anders Lund 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 2011-01-04 with Science categories.
Principles and Applications of ESR Spectroscopy fills the gap between the detailed monographs in ESR spectroscopy and the general textbooks in molecular physics, physical chemistry, biochemistry or spectroscopy. The latter only briefly explain the underlying theory and do not provide details about applications, while the currently available ESR textbooks are primarily focused on the technique as such. This text is based upon the authors’ long experience of teaching the subject to a mixed audience, in the extreme case ranging from physics to biology. The potential of the method is illustrated with applications in fields such as molecular science, catalysis and environmental sciences, polymer and materials sciences, biochemistry and radiation chemistry/physics. Theoretical derivations have in general been omitted, as they have been presented repeatedly in previous works. The necessary theory is instead illustrated by practical examples from the literature.
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.
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.
The Journal Of Education
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Author :
language : en
Publisher:
Release Date : 1932
The Journal Of Education written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1932 with Education categories.
University Of California Union Catalog Of Monographs Cataloged By The Nine Campuses From 1963 Through 1967 Subjects
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Author : University of California (System). Institute of Library Research
language : en
Publisher:
Release Date : 1972
University Of California Union Catalog Of Monographs Cataloged By The Nine Campuses From 1963 Through 1967 Subjects written by University of California (System). Institute of Library Research and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Library catalogs categories.
Tensor Calculus For Engineers And Physicists
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Author : Emil de Souza Sánchez Filho
language : en
Publisher: Springer
Release Date : 2016-05-20
Tensor Calculus For Engineers And Physicists written by Emil de Souza Sánchez Filho and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-20 with Technology & Engineering categories.
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.
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.
Theoretical Experimental And Numerical Contributions To The Mechanics Of Fluids And Solids
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Author : James Casey
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Theoretical Experimental And Numerical Contributions To The Mechanics Of Fluids And Solids written by James Casey and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
This special issue of ZAMP is published to honor Paul M. Naghdi for his contributions to mechanics over the last forty years and more. It is offered in celebration of his long, productive career in continuum mechan ics; a career which has been marked by a passion for the intrinsic beauty of the subject, an uncompromising adherence to academic standards, and an untiring devotion to our profession. Originally, this issue was planned in celebration of Naghdi's 70th birthday, which occurred on 29 March 1994. But, as the papers were being prepared for the press, it became evident that the illness from which Professor Naghdi had been suffering during recent months was extremely serious. On 26 May 1994, a reception took place in the Department of Mechanical Engineering at Berkeley, at which Naghdi received The Berkeley Citation (which is given in lieu of an honorary degree) and where he was also presented with the Table of Contents of the present collection. Subse quently, he had the opportunity to read the papers in manuscript form. He was very touched that his colleagues had chosen to honor him with their fine contributions. The knowledge that he was held in such high esteem by his fellow scientists brought a special pleasure and consolation to him in his last weeks. On Saturday evening, 9 July 1994, Paul Naghdi succumbed to the lung cancer which he had so courageously endured.