Research and Exposition in Mathematics -- Volume 28
Enlarged Picture
Vladislav V. Kravchenko
Applied Quaternionic Analysis
vi + 136 pages, soft cover, ISBN 3-88538-228-8, EUR 24.00, 2003
Quaternionic analysis is the most natural and close generalization of
complex analysis that preserves many of its important features. The
present book is meant as an introduction and invitation to this theory
and its applications (in fact it was inspired by a course given by the
author to graduate engineering students). Restricting ourselves to Maxwell's
equations and the Dirac equation only we show the progress achieved in
applied quaternionic analysis during the last five years, emphasising
results which can not so easily be obtained by other methods. Thus, the
main objective of this work is to introduce the reader to some topics of
quaternionic analysis whose selection is motivated by particular models
from the theory of electromagnetic and spinor fields, and to show the
usefulness and necessity of applying the tools of quaternionic analysis
to these kinds of problems.
List of Contents: