Real quaternionic calculus handbook [electronic resource] / by João Pedro Morais, Svetlin Georgiev, Wolfgang Sprö€ig.

9783034806220 electronic book
3034806221 electronic book
9783034806213

Basel : Birkhäuser, c2014.

English

1 online resource (xii, 216 pages) : color illustration.

10.1007/978-3-0348-0622-0 doi

QA196

512/.5
512.48

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.

Includes bibliographical references and index.

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