Real Quaternionic Calculus Handbook

Real Quaternionic Calculus Handbook

Real quaternion analysis is a multi-faceted subject. Created to describe phenomena in special relativity, electrodynamics, spin etc., it has developed into a body of material that interacts with many branches of mathematics, such as complex analysis, harmonic analysis, differential geometry, and dif...

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Bibliographic Details
Published in:Springer eBooks
Main Authors: Morais, João Pedro (Author), Georgiev, Svetlin (Author), Sprößig, Wolfgang (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Basel : Springer Basel : Imprint: Birkhäuser, 2014.
Subjects:
mathematics.
Matrix theory.
Algebra.
Functions of complex variables.
Combinatorics.
Geometry.
Mathematics.
Non-associative Rings and Algebras.
Functions of a Complex Variable.
Linear and Multilinear Algebras, Matrix Theory.
Online Access:http://dx.doi.org/10.1007/978-3-0348-0622-0
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Table of Contents:
  • 1 An introduction to quaternions
  • 2 Quaternions and spatial rotation
  • 3 Quaternion sequences
  • 4 Quaternion series and infinite products
  • 5 Exponents and logarithms
  • 6 Trigonometric functions
  • 7 Hyperbolic functions
  • 8 Inverse hyperbolic and trigonometric functions
  • 9 Quaternion matrices
  • 10 Monomials, polynomials and binomials
  • 11 Solutions
  • Bibliography
  • Index.

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