Life And Scientific Work of Peter Guthrie Tait, Supplementing the Two Volumes of Scientific Papers Published in 1898 And 1900;
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The analytical theory which admits the possibility of Tq vanishing — a possibility never considered by Tait — is given by Cayley in Chapter vi of the 3rd edition of Tait's Quaternions ; and parts of this contributed chapter are almost identical word for word with portions of Cayley's letters.
On August 28, 1 888, Tait in view of the preparation of this 3rd edition, asked Cayley for suggestions in the way of improvements, especially on the analytical side. Cayley responded immediately with some ...notes which Tait gratefully accepted. Some weeks later Tait wrote : CORRESPONDENCE WITH CAYLEY 159 Since I returned to Edinburgh I have been considering more closely the question of the new edition of my Quaternions and looking up specially Sylvester's papers in the Cotnptes Rendus and the Phil. Mag. It seems to me from my point of view (which I think is that of Hamilton) that all these things, excellent and valuable as they are, are not Quaternions but developments of Matrices. As I understand Hamilton's quest, it was for a method which should supersede Cartesian methods, wherever it is possible to do so.
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To quickly assess the difficulty of the text, read a short excerpt:
The analytical theory which admits the possibility of Tq vanishing — a possibility never considered by Tait — is given by Cayley in Chapter vi of the 3rd edition of Tait's Quaternions ; and parts of this contributed chapter are almost identical word for word with portions of Cayley's letters.
On August 28, 1 888, Tait in view of the preparation of this 3rd edition, asked Cayley for suggestions in the way of improvements, especially on the analytical side. Cayley responded immediately with some ...notes which Tait gratefully accepted. Some weeks later Tait wrote : CORRESPONDENCE WITH CAYLEY 159 Since I returned to Edinburgh I have been considering more closely the question of the new edition of my Quaternions and looking up specially Sylvester's papers in the Cotnptes Rendus and the Phil. Mag. It seems to me from my point of view (which I think is that of Hamilton) that all these things, excellent and valuable as they are, are not Quaternions but developments of Matrices. As I understand Hamilton's quest, it was for a method which should supersede Cartesian methods, wherever it is possible to do so.
What to read after Life And Scientific Work of Peter Guthrie Tait, Supplementing the Two Volumes of Scientific Papers Published in 1898 And 1900;?
You can find similar books in the "Read Also" column, or choose other free books by Cargill Gilston Knott to read onlineMoreLess
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