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4 - Vector and Matrix Calculus

from Part I - Matrix Methods

Published online by Cambridge University Press:  18 February 2021

Kevin W. Cassel
Kevin W. Cassel
Affiliation:
Illinois Institute of Technology
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Summary

Vector and matrix calculus provides a powerful set of tools for analying and manipulating scalars, vectors, and tensors in continuum mechanics.This includes transformations between coordinate systems and provides the foundation for optimization methods.

Keywords

vector calculusgradientdivergencecurlintegral theoremscoordinate transformationstensorsoptimization
Type
Chapter
Information
Matrix, Numerical, and Optimization Methods in Science and Engineering , pp. 218 - 252
Publisher: Cambridge University Press
Print publication year: 2021

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  • Vector and Matrix Calculus
  • Kevin W. Cassel, Illinois Institute of Technology
  • Book: Matrix, Numerical, and Optimization Methods in Science and Engineering
  • Online publication: 18 February 2021
  • Chapter DOI: https://doi.org/10.1017/9781108782333.006
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  • Vector and Matrix Calculus
  • Kevin W. Cassel, Illinois Institute of Technology
  • Book: Matrix, Numerical, and Optimization Methods in Science and Engineering
  • Online publication: 18 February 2021
  • Chapter DOI: https://doi.org/10.1017/9781108782333.006
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Vector and Matrix Calculus
  • Kevin W. Cassel, Illinois Institute of Technology
  • Book: Matrix, Numerical, and Optimization Methods in Science and Engineering
  • Online publication: 18 February 2021
  • Chapter DOI: https://doi.org/10.1017/9781108782333.006
Available formats
×