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Vector Spaces and Linear Transformations

  • Anthony N. Michel
  • Charles J. Herget

Abstract

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.

Keywords

Vector Space Linear Space Linear Transformation Linear Subspace Invariant Subspace 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  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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