Real Quaternionic Calculus Handbook by Joao Pedro Morais,Svetlin Georgiev,Wolfgang Sprößig

By Joao Pedro Morais,Svetlin Georgiev,Wolfgang Sprößig

actual quaternion research is a multi-faceted topic. Created to explain phenomena in distinct relativity, electrodynamics, spin etc., it has built right into a physique of fabric that interacts with many branches of arithmetic, similar to complicated research, harmonic research, differential geometry, and differential equations. it's also a ubiquitous think about the outline and elucidation of difficulties in mathematical physics. meanwhile genuine quaternion research has develop into a good demonstrated department in arithmetic and has been enormously profitable in lots of various instructions. This booklet is predicated on concrete examples and routines instead of common theorems, therefore making it appropriate for an introductory one- or two-semester undergraduate direction on a number of the significant elements of actual quaternion research in routines. on the other hand, it can be used for starting graduate point classes and as a reference paintings. With workouts on the finish of every bankruptcy and its straight forward writing sort the ebook addresses readers who've no previous wisdom in this topic yet have a easy historical past in graduate arithmetic classes, similar to genuine and complicated research, traditional differential equations, partial differential equations, and concept of distributions.

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