At the time structures such as Lie algebras and hyperbolic quaternions drew attention to the need to expand algebraic structures beyond the associatively multiplicative class. In a review Alexander Macfarlane wrote: "The main idea of the work is not unification of the several methods, nor generalization of ordinary algebra so as to include them, but rather the comparative study of their several structures." In a separate review, G. B. Mathews wrote, "It possesses a unity of design which is really remarkable, considering the variety of its themes." COUNT 6
QSN1 What did Lie algebras and hyperbolic quaternions demonstrate a need for? ANS1 the need to expand algebraic structures beyond the associatively multiplicative class QSN2 How did Alexander Macfarlane summarize the relationship between different methods in "A Treatise on Algebra" in his review? ANS2 comparative study of their several structures QSN3 What was G.B. Matthew's opinion of "A Treatise on Algebra"? ANS3 "It possesses a unity of design which is really remarkable, considering the variety of its themes." QSN4 Lie algebras and hypobolic quanternions drew attention to the need for what? ANS4 expand algebraic structures QSN5 What did reviewer GB Mathews say algebraic structures possessed?  ANS5 unity of design QSN6 Reviewer Alexander Macfarlane believed that the main idea of the work is a comparative study of what? ANS6 several structures