Vector Spaces and Linear Transformations

  • Anthony N. Michel
  • Charles J. Herget


In Chapter 1 we considered the set-theoretic structure of mathematical systems, and in Chapter 2 we developed to various degrees of complexity the algebraic structure of mathematical systems. One of the mathematical systems introduced in Chapter 2 was the linear or vector space, a concept of great importance in mathematics and applications.


Vector Space Linear Space Linear Transformation Linear Subspace Invariant Subspace 
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  1. [3.1]
    P. R. Halmos, Finite Dimensional Vector Spaces. Princeton, N.J.: D. Van Nostrand Company, Inc., 1958.MATHGoogle Scholar
  2. [3.2]
    K. Hoffman and R. Kunze, Linear Algebra. Englewood Cliffs, N.J.: Prentice-Hall, Inc., 1971.MATHGoogle Scholar
  3. [3.3]
    A. W. Naylor and G. R. Sell, Linear Operator Theory in Engineering and Science. New York: Holt, Rinehart and Winston, 1971.Google Scholar
  4. [3.4]
    A. E. Taylor, Introduction to Functional Analysis. New York: John Wiley & Sons, Inc., 1966.Google Scholar

Copyright information

© Birkhäuser Boston 2007

Authors and Affiliations

  • Anthony N. Michel
    • 1
  • Charles J. Herget
    • 2
  1. 1.Department of Electrical EngineeringUniversity of Notre DameNotre DameUSA
  2. 2.Herget AssociatesAlamedaUSA

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