1 edition of Tensor calculus found in the catalog.
|Series||University mathematical texts|
|LC Classifications||QA433 S6 1960|
|The Physical Object|
|Number of Pages||125|
A metric tensor is a (symmetric) (0, 2)-tensor; it is thus possible to contract an upper index of a tensor with one of the lower indices of the metric tensor in the product. This produces a new tensor with the same index structure as the previous tensor, but with lower index generally shown in the same position of the contracted upper index. Tensor Calculus and Differential Geometry 2WAH0 Luc Florack March 9, Cover illustration: papyrus fragment from Euclid’s Elements of Geometry, Book II . Contents Preface iii Notation 1 1 Prerequisites from Linear Algebra 3 2 Tensor Calculus 7File Size: 1MB.
introduction to tensor calculus and continuum mechanics In Part One I have included introductory topics in tensors, differential geometry and relativity. Part Two presents basics from the areas of continuum mechanics (dynamics, elasticity, fluids, electricity, magnetism). This video is the first part of a series on tensor calculus based off of the book "Tensor Calculus For Physics" by Dwight Neuenschwander. I discuss vector operations using the kronecker delta.
tensor algebra and calculus. I assume a basic knowledge of calculus and linear algebra with some commonly used mathematical terminology. I tried to be as clear as possible and to highlight the key issues of the subject at an introductory level in a concise form. I hopeFile Size: KB. general, scalar elds are referred to as tensor elds of rank or order zero whereas vector elds are called tensor elds of rank or order one. Closely associated with tensor calculus is the indicial or index notation. In section 1 the indicial notation is de ned and illustrated. We also de ne and investigate scalar, vector and tensor elds when they.
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I really, really love Manifolds, Tensors, and Forms: An Introduction for Mathematicians and Physicists by Paul Renteln. It is mathematical—sorry—but it gives the bare-bones definitions that are needed to do differential geometry.
So all of the ele. Clear book, goes at a comfortable pace, step by step. Compared to other books on tensor calculus, I found this book easier going as it builds up nicely rather then start juggling with the indexes very early on.
I watched the online lectures first by the author which are excellent and then started the by: This book is about tensor analysis. It consists of pages. The language and method used in presenting the ideas and techniques of tensors make it very suitable as a textbook or as a reference for an introductory course on tensor algebra and calculus or as a guide for self-studying and learning/5(31).
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. 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.
"This book is an excellent classroom text, since it is clearly written, contains numerous problems and exercises, and at the end of each chapter has a summary of the significant results of the chapter." — Quarterly of Applied Mathematics.
Fundamental introduction for beginning student of absolute differential calculus and for those interested in applications of tensor calculus to 2/5(1). Tensor Calculus book. Read reviews from world’s largest community for readers. A compact exposition of the theory of tensors, this text also illustrates /5(11).
Automata Studies Edited by C. SHANNON and J. Linear Inequalities and Related Syst Edited by H. KUHN and A. 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. Having deﬁned vectors and one-forms we can now deﬁne tensors.
A tensor of rank (m,n), also called a (m,n) tensor, is deﬁned to be a scalar function of mone-forms and nvectors that is linear in all of its arguments. It follows at once that scalars are tensors of rank (0,0), vectors are tensors of rank (1,0) and one-forms are tensors of File Size: KB.
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.
Thank you, that helps. So you don't want a book on tensor calculus. Tensor calculus is the name for a discipline that is used a lot in applied mathematics and it is related to your link, but it is not what you want.
I was confused because you used this term. Firstly, what is a tensor. A tensor on a ##k##-vector space ##V## is just a multilinear. Tensor calculus: a concise course Barry Spain. This book will prove to be a good introduction, both for the physicist who wishes to make applications and for the mathematician who prefers to have a short survey before taking up one of the more voluminous textbooks on differential geometry.
Introduction to Tensor Calculus. Book March These are general notes on tensor calculus which can be used as a reference for an introductory course on tensor algebra and calculus. A Author: Taha Sochi.
PART 1: INTRODUCTION TO TENSOR CALCULUS A scalar eld describes a one-to-one correspondence between a single scalar number and a point. An n-dimensional vector eld is described by a one-to-one correspondence between n-numbers and a point.
Let us generalize these concepts by assigning n-squared numbers to a single point or n-cubed numbers to a single. Find a huge variety of new & used Calculus of tensors books online including bestsellers & rare titles at the best prices.
Shop Calculus of tensors books at Alibris. Fundamental introduction for beginning student of absolute differential calculus and for those interested in applications of tensor calculus to mathematical physics and engineering. Topics include spaces and tensors; basic operations in Riemannian space, curvature of space, special types of space, relative tensors, ideas of volume, and more.
Dwight E. Neuenschwander's Tensor Calculus for Physics is a bottom-up approach that emphasizes motivations before providing definitions. Using a clear, step-by-step approach, the book strives to embed the logic of tensors in contexts that demonstrate why that logic is worth : Johns Hopkins University Press.
This elementary introduction pays special attention to aspects of tensor calculus and relativity that students tend to find most difficult.
Its use of relatively unsophisticated mathematics in the early chapters allows readers to develop their confidence within the framework of Cartesian coordinates before undertaking the theory of tensors in curved spaces and its application to general 3/5(1).
Fundamental introduction for beginning student of absolute differential calculus and for those interested in applications of tensor calculus to mathematical physics and engineering. Topics include spaces and tensors; basic operations in Riemannian space, curvature of space, special types of space, relative tensors, ideas of volume, and more/5.
Introduction to Tensor Calculus by Kees Dullemond, Kasper Peeters - University of Heidelberg, This booklet contains an explanation about tensor calculus for students of physics and engineering with a basic knowledge of linear algebra. The focus lies on acquiring an understanding of the principles and ideas underlying the concept of 'tensor'.Tensor Calculus (Dover Books on Mathematics series) by J.
L. Synge. Digital Rights Management (DRM) The publisher has supplied this book in encrypted form, which means that you need to install free software in order to unlock and read it. This classic text is a fundamental introduction to the subject for the beginning student of absolute differential calculus, and for those interested in the applications of tensor calculus to mathematical physics and engineering.
Tensor Calculus contains eight chapters. The first four deal with the basic concepts of tensors, Riemannian spaces Brand: Dover Publications.