The Book Real Quaternionic Calculus Handbook

Real Quaternionic Calculus Handbook

Details Book

  • Autor: Joao Pedro Morais
  • Editor: Springer Basel
  • Relaese Date: 09 January 2014
  • ISBN: 3034806213
  • Format Book: PDF, Epub, DOCx, TXT, Audio, MOBI
  • Number of page: 216 pages
  • File Size: 33MB
  • Rating:


Description Real Quaternionic Calculus Handbook de Joao Pedro Morais:

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. Joao Pedro Morais (born 1982) is a Portuguese mathematician working in the areas of Clifford and quaternionic analysis. In 2009 he got his Ph.D. in mathematics from Bauhaus-University Weimar (Germany). At 2010 he joined the Institute of Applied Analysis at the Freiberg University of Mining and Technology (Germany) as a postdoctoral researcher. His research interests include approximation theory, conformal and quasiconformal mappings, signal and image processing. Joao Pedro Morais is currently working as a postdoctoral researcher at the University of Aveiro (Portugal). Svetlin Georgiev (born 1974) is a Bulgarian mathematician working in areas of ordinary differential equations, partial differential equations, stochastic differential equations, Clifford algebras and Clifford analysis. He is currently a Professor at Sorbonne University (Paris, France). Wolfgang Sprossig is Professor of Mathematics at the Technische Universitat Bergakademie Freiberg (retired in 2012). His main research interests are the applications of quaternionic and Clifford algebraic methods to solve boundary and initial boundary value problems- he has published and co-authored 5 books and edited 6 further books, and special issues in several mathematical journals. Wolfgang Sproessig is Editor-in-Chief of the journal Mathematical Methods in the Applied Sciences and serves on the advisory board of 5 further journals. He has comprehensive teaching experience in different levels for about 40 years. For some years he served as external examiner at the Darussalam University (Sultanate Brunei).

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