Real Quaternionic Calculus Handbook

  • João Pedro Morais
  • Svetlin Georgiev
  • Wolfgang Sprößig

Table of contents

  1. Front Matter
    Pages i-xii
  2. João Pedro Morais, Svetlin Georgiev, Wolfgang Sprößig
    Pages 1-34
  3. João Pedro Morais, Svetlin Georgiev, Wolfgang Sprößig
    Pages 35-51
  4. João Pedro Morais, Svetlin Georgiev, Wolfgang Sprößig
    Pages 53-67
  5. João Pedro Morais, Svetlin Georgiev, Wolfgang Sprößig
    Pages 69-85
  6. João Pedro Morais, Svetlin Georgiev, Wolfgang Sprößig
    Pages 87-105
  7. João Pedro Morais, Svetlin Georgiev, Wolfgang Sprößig
    Pages 107-116
  8. João Pedro Morais, Svetlin Georgiev, Wolfgang Sprößig
    Pages 117-124
  9. João Pedro Morais, Svetlin Georgiev, Wolfgang Sprößig
    Pages 125-132
  10. João Pedro Morais, Svetlin Georgiev, Wolfgang Sprößig
    Pages 133-147
  11. João Pedro Morais, Svetlin Georgiev, Wolfgang Sprößig
    Pages 149-164
  12. João Pedro Morais, Svetlin Georgiev, Wolfgang Sprößig
    Pages 165-209
  13. Back Matter
    Pages 211-216

About this book

Introduction

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 differential equations. It is also a ubiquitous factor in the description and elucidation of problems in mathematical physics. In the meantime real quaternion analysis has become a well established branch in mathematics and has been greatly successful in many different directions. This book is based on concrete examples and exercises rather than general theorems, thus making it suitable for an introductory one- or two-semester undergraduate course on some of the major aspects of real quaternion analysis in exercises. Alternatively, it may be used for beginning graduate level courses and as a reference work. With exercises at the end of each chapter and its straightforward writing style the book addresses readers who have no prior knowledge on this subject but have a basic background in graduate mathematics courses, such as real and complex analysis, ordinary differential equations, partial differential equations, and theory of distributions.

Keywords

quaternion analysis quaternion elementary functions quaternion matrices quaternion operations quaternion sequences, series and products rotations

Authors and affiliations

  • João Pedro Morais
    • 1
  • Svetlin Georgiev
    • 2
  • Wolfgang Sprößig
    • 3
  1. 1.CIDMAUniversity of AveiroAveiroPortugal
  2. 2.Department of Differential EquationsUniversity of Sofia "St Kliment Ohridski Faculty of Mathematics and InformaticsSofiaBulgaria
  3. 3.Institut für Angewandte AnalysisTU Bergakademie Freiberg Fak. für Mathematik und InformatikFreibergGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-0348-0622-0
  • Copyright Information Springer Basel 2014
  • Publisher Name Birkhäuser, Basel
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-0348-0621-3
  • Online ISBN 978-3-0348-0622-0
  • About this book