From vectors to tensors
type: Item
instance of: scholarly article
title: From vectors to tensors
zbMATH Open document ID: 1205.15004
author: Juan Ramón Ruíz-Tolosa
author: Enrique Castillo
published in: Universitext
publication date: 2004-12-22T00:00:00Z
review text: This is a well-written comprehensive vectors to tensors book for students of engineering, applied mathematics and mathematics and mathematical physics. This textbook deals with tensors that are treated as vectors, and its orientation is practical. In addition to standard tensors, it introduces new tensor concepts, such as the rotation of tensors, the transposer tensor, the eigentensors, the permutation tensor structure. The book includes 197 examples and end-of-chapter exercises. A computer package, written Mathematica is available from the web. The book is divided into 5 parts: Basic tensor algebra; Special tensors; Exterior algebras; Tensor over linear spaces with inner product; Classic tensors in geometry and mechanics.
Mathematics Subject Classification ID: 15-01
Mathematics Subject Classification ID: 15-04
Mathematics Subject Classification ID: 15A72
zbMATH DE Number: 2123714
zbMATH Keywords: new tensor concepts
zbMATH Keywords: rotation of tensors
zbMATH Keywords: transposer tensor
zbMATH Keywords: eigentensors
zbMATH Keywords: permutation tensor structure
zbMATH Keywords: Mathematica
zbMATH Keywords: exercises
reviewed by: Yueh-er Kuo
describes a project that uses: Mathematica
MaRDI profile type: Publication
full work available at URL: b138560
OpenAlex ID: W1589632425
DOI: 10.1007/B138560
description: scientific article; zbMATH DE number 2123714