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Quaternions are a number system that has become increasingly useful for representing the rotations of objects in three-dimensional space and has important applications in theoretical and applied mathematics, physics, computer science, and engineering. This is the first book to provide a systematic,...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Rodman, L. (Author)
Format: Electronic eBook
Language:Inglés
Published: Princeton : Princeton University Press, [2014]
Series:Princeton series in applied mathematics.
Subjects:
Algebras, Linear > Textbooks.
Quaternions > Textbooks.
MATHEMATICS > Algebra > Intermediate.
MATHEMATICS > Complex Analysis.
Algebras, Linear.
Quaternions.
Quaternionenalgebra
Textbooks.
Online Access:Texto completo
Table of Contents:
  • Introduction
  • The algebra of quaternions
  • Vector spaces and matrices: basic theory
  • Symmetric matrices and congruence
  • Invariant subspaces and Jordan form
  • Invariant neutral and semidefinite subspaces
  • Smith form and Kronecker canonical from
  • Pencils of hermitian matrices
  • Skewhermitian and mixed pencils
  • Indefinite inner products: conjugation
  • Matrix pencils with symmetries: nonstandard involution
  • Mixed matrix pencils: nonstandard involutions
  • Indefinite inner products: nonstandard involution
  • Matrix equations
  • Appendix: real and complex canonical forms.

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