This textbook systematically constructs integers rational real and complex numbers as well as hamiltons quaternions. This textbook offers an invitation to modern algebra through number systems of increasing complexity beginning with the natural numbers and culminating with hamiltons quaternions. So the quaternions are the answer to a very natural question namely what number systems besides the real and complex numbers resemble the what are quaternions. From natural numbers to quaternions by kramer jrg von pippich anna maria paperback available at half price booksr https wwwhpbcom
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