Linear and multilinear algebra

  • Francesco Bullo
  • Andrew D. Lewis
Part of the Texts in Applied Mathematics book series (TAM, volume 49)


The study of the geometry of Lagrangian mechanics requires that one be familiar with basic concepts in abstract linear and multilinear algebra. The reader is expected to have encountered at least some of these concepts before, so this chapter serves primarily as a refresher. We also use our discussion of linear algebra as a means of introducing the summation convention in a systematic manner. Since this gets used in computations, the reader may wish to take the opportunity to become familiar with it.


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Copyright information

© Springer Science+Business Media New York 2005

Authors and Affiliations

  • Francesco Bullo
    • 1
  • Andrew D. Lewis
    • 2
  1. 1.Department of Mechanical & Environmental EngineeringUniversity of California at Santa BarbaraSanta BarbaraUSA
  2. 2.Department of Mathematics and StatisticsQueen’s UniversityKingstonCanada

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