rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Tensor Algebra and Tensor Analysis for Engineers
    sub title: With Applications to Continuum Mechanics
  name:
    name part: Itskov, Mikhail.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2015
    edition: 4th ed. 2015.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVII, 290 p. 20 illus., 13 illus. in color. online resource.
  abstract: This is the fourth and revised edition of a well-received book that aims at bridging the gap between the engineering course of tensor algebra on the one side and the mathematical course of classical linear algebra on the other side. In accordance with the contemporary way of scientific publications, a modern absolute tensor notation is preferred throughout. The book provides a comprehensible exposition of the fundamental mathematical concepts of tensor calculus and enriches the presented material with many illustrative examples. In addition, the book also includes advanced chapters dealing with recent developments in the theory of isotropic and anisotropic tensor functions and their applications to continuum mechanics. Hence, this monograph addresses graduate students as well as scientists working in this field. In each chapter numerous exercises are included, allowing for self-study and intense practice. Solutions to the exercises are also provided.
  table of contents: Vectors and Tensors in a Finite-Dimensional Space -- Vector and Tensor Analysis in Euclidean Space -- Curves and Surfaces in Three-Dimensional Euclidean Space -- Eigenvalue Problem and Spectral Decomposition of Second-Order Tensors -- Fourth-Order Tensors -- Analysis of Tensor Functions -- Analytic Tensor Functions -- Applications to Continuum Mechanics.
  note: by Mikhail Itskov.
  subject:
    topic: Engineering
  subject:
    topic: Matrix theory
  subject:
    topic: Algebra
  subject:
    topic: Differential geometry
  subject:
    topic: Mechanics
  subject:
    topic: Continuum mechanics
  subject:
    topic: Engineering
  subject:
    topic: Continuum Mechanics and Mechanics of Materials
  subject:
    topic: Differential Geometry
  subject:
    topic: Linear and Multilinear Algebras, Matrix Theory
  subject:
    topic: Mechanics
  classification: TA405-409.3
  classification: QA808.2
  classification: 620.1
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Mathematical Engineering
  identifier: 9783319163420
  identifier: http://dx.doi.org/10.1007/978-3-319-16342-0
  record info:
    record creation date: 150325
    record change date: 20151204150354.0
    record identifier: 978-3-319-16342-0