 # From Vectors to Tensors (Universitext)

• 550 Pages
• 2.70 MB
• English
by
Springer
General Theory of Computing, Linear algebra, PHYSICS, Textbooks, Mathematical Physics, Calculus of tensors, Mathematics, Computers - General Information, Testbooks, Science/Mathematics, Tensor algebra, Algebra - Linear, Computer Science, Affine Tensors, Euclidean Tensors, Exterior Algebras, Homogeneous Tensors, Mathematics / Algebra / Linear, Pseudotensors, Tensor Homomorphisms, Tensor Spaces, Vector algebra, Algebra - Ge
The Physical Object
FormatPaperback
ID Numbers
Open LibraryOL9054929M
ISBN 10354022887X
ISBN 139783540228875

The remainder of this review involves the new book: Vectors and Tensors By Example(ISBN:Richard E. Haskell, Inc.) If you are completely new to the world of Vectors and Tensors, make sure that you are comfortable with multivariable calculus.

If you are not comfortable, don't give up!/5(8). The book first focuses on the basics of vectors, and uses vectors to build the general concepts on which tensors are built. The text is very clear and well written, with clear and appropriate by: I really, really love Manifolds, Tensors, and Forms: An Introduction for Mathematicians and Physicists by Paul Renteln.

It is From Vectors to Tensors book it gives the bare-bones definitions that are needed to do differential geometry. So all of the ele.

The infinite direct sum of the tensor spaces of every type forms an associative algebra. This algebra is also called the “tensor algebra,” and “tensor” sometimes refers to the general elements of this algebra, in which case tensors as defined above are called homogeneous this book, we will always use the term “tensor” to mean homogeneous tensor, while for “tensor.

Welcome to the website for A Student’s Guide to Vectors and Tensors, and thanks for visiting. The purpose of this site is to supplement the material in the book by providing resources that will help you understand vectors and tensors.

On this site, you’ll find: Complete solutions to every problem in the book. Explore our list of Vectors & Tensors Books at Barnes & Noble®. Receive FREE shipping with your Barnes & Noble Membership. Due to COVID, orders may be delayed. writing this book is to make available a modern introductory textbook suitable for the first in-depth exposure to vectors and tensors.

From Vectors to Tensors book of our interest in applications, it is our hope that this book will aid students in their efforts to use vectors and tensors in applied Size: 1MB. The book assumes a certain knowledge of linear algebra, and is intended as a textbook for graduate and postgraduate students and also as a consultation book.

It is addressed to mathematicians, physicists, engineers, and applied scientists with a practical orientation who are looking for powerful tensor tools to solve their problems. 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. Introducing Tensors: Magnetic Permeability and Material Stress We have just seen that vectors can be multiplied by scalars to produce new vectors with the same sense or direction.

In general, we can specify a unit vector u, at any location we wish, to point in any direction we Size: KB. aspects of vectors and tensors.

This volume begins with a discussion of Euclidean manifolds. The principal mathematical entity considered in this volume is a field, which is defined on a domain in a Euclidean manifold.

The values of the field may be vectors or tensors. We investigate results due. A Student’s Guide to Vectors and Tensors Vectors and tensors are among the most powerful problem-solving tools available, with applications ranging from mechanics and electromagnetics to general relativity.

Understanding the nature and application of vectors and tensors is critically important to students of physics and Size: 2MB.

Vectors, Tensors and the Basic Equations of Fluid Mechanics (Dover Books on Mathematics) by Mathematics, Aris, Rutherford and a great selection of related books, art and collectibles available now at. Buy new & used Vectors & Tensors Textbooks at Barnes & Noble®. Ship them straight to your home or dorm, or buy online and pick up in store.

Due to COVID, orders may be delayed. The book is excellent in introducing vectors, vector fields (with operations like div, grad), transformations (covariant/contravariant), and also in introducing tensors with some of their basic properties/5.

Offering books by Banesh Hoffmann, Tullio Levi-Civita, Ray M. Bowen, and other respected authors, our publishing program on vectors, tensors, and spinors includes a wealth of low-priced texts.

You can order books on the applications of tensor analysis, matrix vector analysis, tensor analysis on manifolds, the theory of spinors, and more. Tensors and transformations are inseparable. To put it succinctly, tensors are geometrical objects over vector spaces, whose coordinates obey certain laws of transformation under change of basis.

Vectors are simple and well-known examples of tensors, but there is much more to tensor theory than vectors. In this chapter we study a number of well-known differential operators, which are familiar from the studies of basic calculus, using the framework and terminology of the tensor analysis.

We study the Hamiltonian ∇-operator, gradient of scalars, divergence of vectors and tensors, curl of vectors, and Laplacian of scalars and tensors. 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.

Introduction to Vectors and Tensors Volume 2: Vector and Tensor Analysis by Ray M. Bowen, C.-C. Wang.

ISBN/ASIN: Number of pages: Description: The textbook presents introductory concepts of vector and tensor analysis. Download: Similar searches: Vectors Scalars And Vectors Propositions And Vectors Vectors And Matrices Pdf Vectors And Tensors Pdf Vectors In 3d Worksheet Vectors In Physics Introduction To Vectors Intro To Vectors Chapter 12 Vectors Vectors And Matrices Vectors And Geometry Calculus And Vectors Linear Algebra Vectors Scalar Product Of Vectors Calculus And.

1 Vectors & Tensors and so we begin this book with a comprehensive chapter on the tensor. coordinates are introduced, including covariant and contravariant vectors and tensors, the metric coefficients, the physical components of vectors and tensors, the metric, coordinateFile Size: 1MB.

Vectors and tensors are among the most powerful problem-solving tools available, with applications ranging from mechanics and electromagnetics to general relativity.

Understanding the nature and application of vectors and tensors is critically important to students of physics and engineering. Intuitive motivation and the concrete tensor product. The intuitive motivation for the tensor product relies on the concept of tensors more generally.

In particular, a tensor is an object that can be considered a special type of multilinear map, which takes in a certain number of vectors (its order) and outputs a objects are useful in a number of areas of application, such as. we can use tensors to represent various fundamental laws occurring in physics, engineering, science and mathematics.

These representations are extremely useful as they are independent of the coordinate systems considered. x INDEX NOTATION Two vectors A~and B~can be expressed in the component form A~= A 1 be1 +A2 be2 +A3 be3 and B~= B1 be1. This textbook, deals with tensors that are treated as vectors, and has a practical orientation.

In addition to dealing with the classical topics of tensor books, new tensor concepts are introduced, such as the rotation of tensors, the transposer tensor, the eigentensors, the permutation tensor structure, etc. Additional Physical Format: Online version: Sands, Donald, Vectors and tensors in crystallography.

Reading, Mass.: Addison-Wesley, (OCoLC) a student s guide to vectors and tensors Download a student s guide to vectors and tensors or read online books in PDF, EPUB, Tuebl, and Mobi Format. Click Download or Read Online button to get a student s guide to vectors and tensors book now. This site is like a library, Use search box in the widget to get ebook that you want.

In row-vector notation, the basis vectors themselves are just i= ex = (1,0,0) j= ey = (0,1,0) k= ez = (0,0,1) Suﬃx or Index notation A more systematic labelling of basis vectors is by e1, e2 and e3.

i.e. instead of iwe write e1, instead of jwe write e2, instead of kwe write scheme is known as the suﬃx. Vectors and tensors are among the most powerful problem-solving tools available, with applications ranging from mechanics and electromagnetics to general relativity.

Understanding the nature and application of vectors and tensors is critically important to students of physics and : Daniel A. Fleisch. Vectors and tensors are among the most powerful problem-solving tools available, with applications ranging from mechanics and electromagnetics to general relativity.

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Understanding the nature and application of vectors and tensors is critically important to students of physics and engineering. Adopting the same approach used in his highly popular A Student's Guide to Maxwell's Equations.introduction to vectors and cartesian tensors Download introduction to vectors and cartesian tensors or read online books in PDF, EPUB, Tuebl, and Mobi Format.

Click Download or Read Online button to get introduction to vectors and cartesian tensors book now. This site is like a library, Use search box in the widget to get ebook that you want.

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Vectors, Tensors and the Basic Equations of Fluid Mechanics. by Rutherford Aris. Dover Books on Mathematics. Share your thoughts Complete your review. Tell readers what you thought by rating and reviewing this book.

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