the need to expand algebraic structures beyond the associatively multiplicative class comparative study of their several structures "It possesses a unity of design which is really remarkable, considering the variety of its themes." expand algebraic structures unity of design several structures
What did Lie algebras and hyperbolic quaternions demonstrate a need for? How did Alexander Macfarlane summarize the relationship between different methods in "A Treatise on Algebra" in his review? What was G.B. Matthew's opinion of "A Treatise on Algebra"? Lie algebras and hypobolic quanternions drew attention to the need for what? What did reviewer GB Mathews say algebraic structures possessed? Reviewer Alexander Macfarlane believed that the main idea of the work is a comparative study of what?
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."
question: What did Lie algebras and hyperbolic quaternions demonstrate a need for?, answer: the need to expand algebraic structures beyond the associatively multiplicative class | question: How did Alexander Macfarlane summarize the relationship between different methods in "A Treatise on Algebra" in his review?, answer: comparative study of their several structures | question: What was G.B. Matthew's opinion of "A Treatise on Algebra"?, answer: "It possesses a unity of design which is really remarkable, considering the variety of its themes." | question: Lie algebras and hypobolic quanternions drew attention to the need for what?, answer: expand algebraic structures | question: What did reviewer GB Mathews say algebraic structures possessed?, answer: unity of design | question: Reviewer Alexander Macfarlane believed that the main idea of the work is a comparative study of what?, answer: several structures