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HAMILTON, Sir William Rowan. Lectures on Quaternions containing a systematic statement of a new mathematical method; …, Dublin (Hodges & Smith), London (Whittaker & Co), Cambridge (Macmillan & Co), 1853. In-8°, later binding in blue half-cloth with corner caps, cardboard covers, replaced endpapers, missing the half-title page, pp. (64) + lxxii + 735 with 102 figures in the text. Signed by Oscar Bolza on the title page. First edition of the lectures delivered over a ten-year period in which Hamilton explored the properties of ordered groups of four numbers, or “quaternions.” Extremely challenging, Hamilton’s investigations were the seed from which noncommutative algebras, as well as matrices and certain elements of vector analysis, emerged. Norman 1109; PMM, 334 Provenance: the library of Hans and Oscar BOLZA, then passed down through the family.
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