13 edition of **Tensors** found in the catalog.

- 21 Want to read
- 36 Currently reading

Published
**2007**
by Springer in New York
.

Written in English

- Tensor algebra,
- Calculus of tensors,
- Riemannian manifolds

**Edition Notes**

Includes bibliographical references (p. 277-279) and index.

Classifications | |
---|---|

LC Classifications | QA200 .D37 2007 |

The Physical Object | |

Pagination | xii, 289 p. : |

Number of Pages | 289 |

ID Numbers | |

Open Library | OL18007677M |

ISBN 10 | 9780387694689, 9780387694696 |

LC Control Number | 2006939203 |

The applications of tensors to the fields of differential geometry, relativity, cosmology and electromagnetism is another attraction of the present book. This book is intended to serve as text for postgraduate students of mathematics, physics and engineering.3/5(2). 1 The index notation Before we start with the main topic of this booklet, tensors, we will ﬁrst introduce a new notation for vectors and matrices, and their algebraic manipulations: the indexFile Size: KB.

Tensor. An th-rank tensor in -dimensional space is a mathematical object that has indices and components and obeys certain transformation rules. Each index of a tensor ranges over the number of dimensions of r, the dimension of the space is largely irrelevant in most tensor equations (with the notable exception of the contracted Kronecker delta). 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).

Book • Authors: Theory and Computation of Tensors: Multi-Dimensional Arrays investigates theories and computations of tensors to broaden perspectives on matrices. Data in the Big Data Era is not only growing larger but also becoming much more complicated. Tensors (multi-dimensional arrays) arise naturally from many engineering or. Mechanics and Special Relativity. This note covers the following topics: oscillators damped and driven and resonance (how to rock your car out of a snow bank or use a swing), an introduction to Lagrangian mechanics and optimization, symmetries and Noether's theorem, special relativity, collisions and scattering, rotational motion, angular momentum, torque, the moment of inertia tensor (dynamic.

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In Stock. Ships Days. TensorFlow, PyTorch, Keras Pre-Installed. Customizable: Up to 32 GB RAM, 1 TB NVMe, Intel iH (6 cores, GHz). Data Science & Machine Learning Optimized. The applications of tensors to the fields of differential geometry, relativity, cosmology and electromagnetism is another attraction of the present book.

This book is intended to serve as text for postgraduate students of mathematics, physics and engineering/5(6).

If you Tensors book been confused by vectors, vector calculus, tensor analysis, or quaternions, this book is for you. Packed with examples, including Matlab examples, this book will show you:How to use Matlab to calculate dot and cross products, and solve linear equations;How to prove any vector identity using Cartesian tensors;How to derive the expressions for gradient, divergence, Laplacian, and /5(8).

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. Tensors are ubiquitous in the sciences. One reason for their ubiquity is that they provide Tensors book useful way to organize data. Geometry is a powerful tool for extracting information from data sets, and a beautiful subject in its own right.

This book has three intended uses: as a classroom textbook, a reference work for researchers, and a research. An Introduction To Tensors for Students of Physics and Engineering Joseph C.

Kolecki National Aeronautics and Space Administration Glenn Research Center Cleveland, Ohio Tensor analysis is the type of subject that can make even the best of students shudder.

My ownFile Size: KB. Tensor_Analysis__missing_ppdf Author: jshipley Created Date: 11/29/ PM. examples of tensors, but there is much more to tensor theory than vectors.

The second chapter discusses tensor ﬁelds and curvilinear coordinates. It is this chapter that provides the foundations for tensor applications in physics. The third chapter extends tensor theory to spaces other than vector spaces, namely manifolds. Tensors for Beginners Albert Tarantola Septem 1 Tensor Notations The velocity of the wind at the top of Eiffel’s tower, at a given moment, can be represented by a vector v with components, in some local, given, basis, {vi} (i = 1,2,3).

The velocity of the wind is deﬁned at any point x of the atmosphere at any time t: we have a File Size: KB. 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 book Div, Grad, Curl, and All That by H.

Schey [26] provides an excellent informal introduction to. 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. Thank you for your patience. Book Annex Membership Educators Gift Cards Stores & Events Help Auto Suggestions are available once you type at least 3 letters.

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. Introduction to Tensor Calculus Taha Sochi Department of Physics & Astronomy, University College London, Gower Street, London, WC1E 6BT.

Email: @ 1 arXivv3 [] 23 May File Size: KB. Tensors are ubiquitous in the sciences. The geometry of tensors is both a powerful tool for extracting information from data sets, and a beautiful subject in its own right.

This book has three intended uses: a classroom textbook, a reference work for researchers in the sciences, and an account of classical and modern results in (aspects of) the. I need a good book on tensors, so that I can understand and get good hold of the topic.

Can anyone recommend me a good book, like one used in undergraduate level. I really like Pavel Grinfeld's book and the accompanying free lectures (with links to solutions etc.).

Likes Wrichik Basu and Demystifier. I couldn't fit in all I wanted in the book. But, why stop now. For example, I haven't even touched upon generative adversial networks.

How about some multi-modal embeddings. Who's hungry for graphical network embeddings. Chapter 11 and all future chapters are free, and will be hosted on the GitHub repo. 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. On a related note, Wald's "General Relativity" is a great book that has a couple good chapters on tensor calculus in the beginning.

He eschews the standard (and ill advised, IMO) physicist's shortcut for defining tensors in terms of arrays of numbers that transform well in favor of a. Books shelved as tensor-analysis: Elasticity: Tensor, Dyadic, and Engineering Approaches by Pei Chi Chou, Vector and Tensor Analysis with Applications by.

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. Cartesian Tensors are needed for the description of directional phenomena in many branches of physics and for the characterization the anisotropy of material properties.

The first sections of the book provide an introduction to the vector and tensor algebra and analysis, with applications to physics, at undergraduate : Springer International Publishing.1 Vectors & Tensors describe the physical world using the concept of the tensor, and so we begin this book with a comprehensive chapter on the tensor.

The chapter is divided into three parts. The first part covers vectors (§). higher order tensors and the divergence of higher order tensors and special fourth order.The book includes a section on general relativity that gives the case for a curved space-time, presents the mathematical background (tensor calculus, Riemannian geometry), discusses the Einstein equation and its solutions (including black holes and Penrose processes), and considers the energy-momentum tensor for various solutions.