Inspired by Stark's analytic proof of class number finiteness of a ring of integers in an algebraic number field, we give a new proof of the finiteness of the number of classes of ideals in a maximal ...

Analysis: William Rowan Hamilton's discovery of quaternions in Cabra played a revolutionary role in many of NASA's space missions When Dublin mathematician William Rowan Hamilton conjured up the ...

IN this book the author establishes the principles of quaternions by the use of the six operations—addition, subtraction, multiplication, division, reversion, and mean reversion. By the introduction ...