The mathematical work reviewed pertained largely to matrices and linear algebra as the methods were in rapid development at the time.
[6] A system of national secretaries was announced in the AMS Bulletin in 1899: Alexander McAulay for Australasia, Victor Schlegel for Germany, Joly for Great Britain and Ireland, Giuseppe Peano for Italy, Kimura for Japan, Aleksandr Kotelnikov for Russia, F. Kraft for Switzerland, and Arthur Stafford Hathaway for the USA.
The Bulletin of the Association Promoting the Study of Quaternions and Allied Systems of Mathematics was issued nine times under the editorship of Alexander Macfarlane.
Furthermore, in 1967 when Michael J. Crowe published A History of Vector Analysis, he wrote in the preface (page ix) : Every year more papers and books appeared that were of interest to Association members so it was necessary to update the Bibliography with supplements in the Bulletin.
The categories used to group the items in the supplements give a sense of the changing focus of the Association: In 1913 Macfarlane died, and as related by Dirk Struik, the Society "became a victim of the first World War".
[13] However, when the textbook The Theory of Relativity by Ludwik Silberstein in 1914 was made available as an English understanding of Minkowski space, the algebra of biquaternions was applied, but without references to the British background or Macfarlane or other quaternionists of the Society.