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Wednesday, July 29, 2020 | History

2 edition of Vectors, tensors and groups found in the catalog.

Vectors, tensors and groups

Thor Anders Bak

Vectors, tensors and groups

by Thor Anders Bak

  • 61 Want to read
  • 29 Currently reading

Published by W.A.Benjamin in New York .
Written in English


Edition Notes

Statementby Thor A. Bak, Jonas Lichtenberg.
SeriesMathematics for scientists -- vol.1
ContributionsLichtenberg, Jonas.
The Physical Object
Pagination129p. ;
Number of Pages129
ID Numbers
Open LibraryOL20807882M

A Student's Guide to Vectors and Tensors - Ebook written by Daniel A. Fleisch. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read 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 engineering/5.

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. Adopting the same approach used in his highly popular A Student's Guide to Maxwell's Equations.   An Introduction to Tensors and Group Theory for Physicists provides both an intuitive and rigorous approach to tensors and groups and their role in theoretical physics and applied mathematics. A particular aim is to demystify tensors and provide a unified framework for understanding them in the context of classical and quantum : Birkhäuser Boston.

The present book, a valuable addition to the English-language literature on linear algebra and tensors, constitutes a lucid, eminently readable and completely elementary introduction to this field of mathematics. A special merit of the book is its free use of tensor notation, in particular the Einstein summation convention. A tetrahedron defined by four vectors from a central vertex conversely suggest a fully defined tetrahedron from a single external vertex using 3 tensors measured to angles less than 90 degrees. Another tetrahedral arrangement would be 2 vectors and 4 points at .


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Vectors, tensors and groups by Thor Anders Bak Download PDF EPUB FB2

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.

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). Explore our list of Vectors & Tensors Books at Barnes & Noble®. Receive FREE shipping with your Barnes & Noble Tensors and groups book. groups, rings, and vector spaces.

The four-part approach begins with examinations of sets and maps, monoids and groups, categories, and rings. This book is suitable for advanced undergraduate and graduate students. Volume I begins with a brief discussion of algebraic structures followed by detailed explorations of the algebra of vectors and tensors, in addition to aspects of linear and multi-linear algebra.

Topics include vector spaces, linear transformations, determinants and matrices, spectral decompositions, and tensor and exterior by: COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus.

writing this book is to make available a modern introductory textbook suitable for the first in-depth exposure to vectors and tensors. Because 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.

Groups are one of the simplest and most prevalent algebraic objects in physics. Geometry, which forms the foundation of many physical models, is concerned with spaces and structures that are preserved under transformations of these spaces.

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. 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 and their applications Download tensors and their applications or read online books in PDF, EPUB, Tuebl, and Mobi Format.

Click Download or Read Online button to get tensors and their applications book now. This site is like a library, Use search box in the widget to get ebook that you want. A Student's Guide to Vectors and Tensors © Cambridge University Press. 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.

This first book provides an introduction to matrices and tensors of higher-order based on the structures of vector space and tensor space. Some standard algebraic structures are first described, with a focus on the hilbertian approach for signal representation, and function approximation based on Fourier series and orthogonal polynomial series.

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. Ample instruction on vector and tensor manipulations in general coordinate systems, plus specific examples and applications.

Although the text emphasizes crystallographic applications, the methods developed are essential in any problems pertaining to nonorthogonal systems.2/5(1).

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.

Chapter 1 Vectors and Tensors •=3 i Figure 3 The components of a vector relative to a basis parallelogram abed, then u + v is the diagonal ac of the parallelogram.

Sub­ traction of vectors can be accomplished by introducing the negative of a vector, — V (segment bf in Fig. 4), as a vector with the same magnitude that points in. 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. Here is a clear introduction to classic vector and tensor analysis for students of engineering and mathematical physics. Chapters range from elementary operations and applications of geometry, to application of vectors to mechanics, partial differentiation, integration, and tensor analysis.

More than problems are included throughout the book. 1 Vectors & Tensors The mathematical modeling of the physical world requires knowledge of quite a few different mathematics subjects, such as Calculus, Differential Equations and Linear Algebra.

These topics are usually encountered in fundamental mathematics courses. However, in a more thorough and in-depth treatment of mechanics, it is File Size: 1MB. Tensor analysis, branch of mathematics concerned with relations or laws that remain valid regardless of the system of coordinates used to specify the quantities.

Such relations are called covariant. Tensors were invented as an extension of vectors to formalize the manipulation of geometric entities arising in the study of mathematical manifolds.

A vector is an entity that has both magnitude.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.Frank E.

Harris, in Mathematics for Physical Science and Engineering, Tensors are generalizations of the multicomponent quantities we have already encountered, namely vectors and matrices. In three-dimensional space, we define a tensor of rank n as an object with 3 n components, with properties we shortly discuss in some detail.

Tensors are defined in such a way that those of rank 0, 1.