Chapter 09. Visualizing Logarithms and Exponentials
The calculus of quaternions involves studying infinitesimal forms and rates of change. These infinitesimal transformations of quaternions are closely related to their logarithms and exponentials, and we will begin by exploring the relationships among quaternionic logarithms, their exponentials, and quaternion calculus. As is now our custom, we will begin to study these objects and their visualizable properties starting from complex numbers, from which we will see that the polar form of a complex number has particularly useful properties that we will be able to exploit in assisting our intuitions.
Complex Numbers
Infinitesimal transformations of quaternions are closely related to their logarithms, ...
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