Encyclopedia of Continuum Mechanics

Living Edition
| Editors: Holm Altenbach, Andreas Öchsner

Integration Formulas for Vectors and Tensors

  • Leonid P. Lebedev
  • Michael J. Cloud
Living reference work entry
DOI: https://doi.org/10.1007/978-3-662-53605-6_216-1

Synonyms

Definitions

A tensor field is a tensor-valued function of position in space. Hence a scalar field is a mapping that assigns a scalar to each point of some domain in \(\mathbb R^3\)

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References

  1. Lebedev L, Cloud M, Eremeyev V (2010) Tensor analysis with applications in mechanics. World Scientific, SingaporeGoogle Scholar
  2. Zhilin P (2001, in Russian) Vectors and second-rank tensors in three-dimensional space. Nestor, St. PetersburgGoogle Scholar
  3. Zubov L, Karyakin M (2006, in Russian) Tensor calculus: basic theory. University Books, MoscowGoogle Scholar

Copyright information

© Springer-Verlag GmbH Germany 2018

Authors and Affiliations

  1. 1.National University of ColombiaBogotaColombia
  2. 2.Department of Electrical and Computer EngineeringLawrence Technological UniversitySouthfieldUSA

Section editors and affiliations

  • Leonid P. Lebedev
    • 1
  • Michael J. Cloud
    • 2
  1. 1.Universidad Nacional de ColombiaBogotá D.C.Colombia
  2. 2.Department of Electrical and Computer EngineeringLawrence Technological UniversitySouthfieldUSA