3 edition of Tensor Calculus With Applications found in the catalog.
by World Scientific Publishing Company
Written in English
|Contributions||Vladislav V. Goldberg (Translator)|
|The Physical Object|
|Number of Pages||380|
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 -tensor, and can be used in many fields of research. Special applications are discussed in the book, to remove any confusion, . Recommend a book for self-learning tensor calculus. I recently graduated with a bs in mathematics and physics, and in my undergrad education I had a brief encounter with the very basics of tensor calculus, just enough to understand what I needed for the time being.
of the mathematical concepts associated with tensor calculus and (ii) develop the basic equations of tensor calculus, di erential geometry and continuum mechanics which arise in engineering applications. From these basic equations one can go on to develop more sophisticated models of applied mathematics. The material is presented in an informal. proves useful for higher-order tensor analysis of anisotropic media. In addition to reviewing basic matrix and vector analysis, the concept of a tensor is cov-ered by reviewing and contrasting numerous. different. definition one might see in the literature for the term .
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The principal feature of the book is that the authors use mainly orthogonal tensors, since such tensors are important in applications to physics and regard to applications, the authors construct the general theory of second-degree surfaces, study the inertia tensor as well as the stress and strain tensors, and consider some Cited by: 9.
This book includes elementary matrix and tensor calculus with some applications. The book is brief and concise but an update to typesetting and markings may be Cited by: 6. In mathematics, tensor calculus, tensor analysis, or Ricci calculus is an extension of vector calculus to tensor fields (tensors that may vary over a manifold, e.g.
in spacetime). Developed by Gregorio Ricci-Curbastro and his student Tullio Levi-Civita, it was used by Albert Einstein to develop his theory of general sted with the infinitesimal calculus, tensor calculus allows. A Student's Guide to Vectors and Tensors by Daniel A. Fleisch Tensor calculus by John Lighton Synge Tensor is usually discussed in Riemannian Geometry Riemannian Geometry by Manfredo Perdigao do Carmo & Francis Flaherty There is also good discussi.
Tensors have their applications to Riemannian Geometry, Mechanics, Elasticity, Theory of Relativity, Electromagnetic Theory and many other disciplines of Science and Engineering. This book has been presented in such a clear and easy way that the students will have no difficulty in understanding Size: 1MB.
This book provides a conceptual exposition of the fundamental results in the theory of tensors. It also illustrates the applications of tensors to differential geometry, mechanics and relativity.
This well-written text gives the origin and nature of the tensor along with the scope of the tensor calculus.
Tensor product states arising in quantum information theory and algebraic statistics are then introduced as they are typical of applications where one studies subvarieties of spaces of tensors.
I conclude by brieﬂy mentioning how the geometry and representation theory that occupies much of the ﬁrst part of the book will be useful for future. The principal feature of the book is that the authors use mainly orthogonal tensors, since such tensors are important in applications to physics and regard to applications, the authors construct the general theory of second-degree surfaces, study the inertia tensor as well as the stress and strain tensors, and consider some.
This textbook presents the foundations of tensor calculus and the elements of tensor analysis. In addition, the authors consider numerous applications of tensors to geometry, mechanics and developing tensor calculus, the authors emphasize its relationship with linear algebra.
Necessary notions and theorems of linear algebra are introduced and proved in connection with the. deﬁnition of a tensor comes only in Chap. 6—when the reader is ready for it. Part III of this book is devoted to the calculus of moving surfaces (CMS).
One of the central applications of tensor calculus is differential geometry, and there is probably not one book about tensors in which a major portion is not devoted to Size: 1MB.
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 -tensor, and can be used in many fields of research. Special applications are discussed in the book, to remove any confusion, and for absolute understanding of the : Bhaben Chandra Kalita.
The tensor calculus as here developed is applied in Chapters III and IV to the study of differential geometry of surfaces in 3-space, the material treated being equivalent to what appears in general in the first eight chapters of my former book with such additions as follow from the introduction of the concept of parallelism of Levi-Civita and 4/5(2).
Tensor calculus and applications: simplified tools and techniques | Kalita, Bharat Chandra | download | B–OK. Download books for free. Find books. Tensor calculus with applications. [M A Akivis; V V Golʹdberg] Print book: EnglishView all editions and formats: Summary: The general theory of second-degree surfaces -- 6.
Applications of tensor calculus to some problem of mechanics and physics -- 7. Tensor Calculus contains eight chapters. The first four deal with the basic concepts of tensors, Riemannian spaces, Riemannian curvature, and spaces of constant curvature.
The next three chapters are concerned with applications to classical dynamics, hydrodynamics, elasticity, electromagnetic radiation, and the theorems of Stokes and Green. The title, The Poor Man’s Introduction to Tensors, is a reference to Gravitation by Misner, Thorne and Wheeler, which characterizes simplified approaches to a problem as “the poor man’s way to do X.” Originally, these notes were.
Automata Studies Edited by C. SHANNON and J. Linear Inequalities and Related Syst Edited by H. KUHN and A. Book Description.
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 -tensor, and can be used in many fields of research.
Special applications are discussed in the book, to remove any confusion, and for absolute understanding of the subject. more. Second, tensor theory, at the most elementary level, requires only linear algebra and some calculus as prerequisites.
Proceeding a small step further, tensor theory requires background in multivariate calculus. For a deeper understanding, knowledge of. Introduction to Tensor Calculus Kees Dullemond & Kasper Peeters c This booklet contains an explanation about tensor calculus for students of physics and engineering with a basic knowledge of linear algebra.
The focus lies mainly onFile Size: KB. This volume offers a working knowledge of the fundamentals of matrix and tensor calculus that can be applied to a variety of fields, particularly scientific aeronautical engineering.
Mathematicians, physicists, and meteorologists as well as engineers will benefit from its skillful combination of mathematical statements and immediate practical /5(3).The tensor calculus as here developed is applied in Chapters III and IV to the study of differential geometry of surfaces in 3-space, the material treated being equivalent to what appears in general in the first eight chapters of my former book with such additions as follow from the introduction of the concept of parallelism of Levi-Civita and 5/5(1).A Some Basic Rules of Tensor Calculus give a brief guide to notations and rules of the tensor calculus applied through-out this work.
For more comprehensive overviews on tensor calculus we recom-mend [54, 96, ]. The calculus of matrices is File Size: KB.