Synopses & Reviews
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
This book establishes concrete examples rather than general theorems in its exploration of the multifacted subject of real quaternion analysis. The material is presented in a straightforward writing style, with exercises at the end of each chapter.
About the Author
Table of Contents
1 An introduction to quaternions.- 2 Quaternions and spatial rotation.- 3 Applications to plane geometry.- 4 Quaternion sequences.- 5 Quaternion series and infinite products.- 6 Exponents and logarithms.- 7 Trigonometry.- 8 Hyperbolic.- 9 Inverse hyperbolic and trigonometric functions.- 10 Quaternion matrices.- 11 Monomials, polynomials and binomials.