TY - GEN digital ID - 131513927 TI - Real Quaternionic Calculus Handbook AU - Morais, João Pedro AU - Georgiev, Svetlin AU - Sprößig, Wolfgang PY - 2014 SN - 9783034806220 PB - Basel Springer, Imprint: Birkhäuser DB - UniCat KW - Ordered algebraic structures KW - Algebra KW - Algebraic geometry KW - Geometry KW - Functional analysis KW - Discrete mathematics KW - Mathematics KW - algebra KW - complexe veranderlijken KW - matrices KW - discrete wiskunde KW - functies (wiskunde) KW - wiskunde KW - geometrie UR - https://www.unicat.be/uniCat?func=search&query=sysid:131513927 AB - 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. ER -