Matrices and Linear Mappings

  • Alexander Ostermann
  • Gerhard Wanner
Part of the Undergraduate Texts in Mathematics book series (UTM)


The controversy between “Grassmannians” and “Quaternionists” finally ended in the victory of a third “competitor”, A.Cayley and his theory of matrices (see the quotations). This theory turned mathematics upside down to such an extent that some books on “geometry” from the beginning of the 20th century (for example that of Schreier and Sperner) were written entirely in the language of vectors and matrices.


Linear Mapping Orthogonal Transformation Orthogonal Matrice Circulant Matrix Cayley Transform 
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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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of InnsbruckInnsbruckAustria
  2. 2.Section de mathématiquesUniversité de GenèveGenève 24Switzerland

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