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Lot 54
GIBBS, JOSIAH WILLARD. 1839-1903. On Multiple Algebra. An Address Before the Section of Mathematics and Astronomy of the American Association for the Advancement of Science at the Buffalo Meeting, August 1886. Massachusetts: Salem Press, 1886.
21 September 2015, 13:00 EDT
New YorkUS$600 - US$900
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GIBBS, JOSIAH WILLARD. 1839-1903.
On Multiple Algebra. An Address Before the Section of Mathematics and Astronomy of the American Association for the Advancement of Science at the Buffalo Meeting, August 1886. Massachusetts: Salem Press, 1886.
8vo (245 x 156 mm). 32 pp. Original printed wrappers. Extremities with some chipping, lower right corner of front wrapper bent and professionally repaired; closed tear to lower portion of spine, lower corners chipped off of back wrapper; internally fine and unopened.
FIRST EDITION of this important offprint, of which only 276 copies were printed. It contains Gibbs' address given while Vice President of the AAAS. "The great merit and power of Grassman's system, as set forth in Gibbs' address, lies in its generality and inclusiveness. It is in the recognition of different kinds of products that Grassman's system differs most radically from the multiple algebras of the others, such as those of Hamilton and Pierce. And it was in connection with this concept of a plurality of multiplications that Gibbs founded his principal contributions to the subject. The development of the dyadic analysis undoubtedly forms Gibbs' most significant contribution to multiple algebra. His recognition of the key position of the indeterminate product in the Grassmanian system and its relation to the theory of matrices as well as his demonstration that both the algebraic and the external of combinatorial products could be derived from the indeterminate product, was an original contribution of great value" (Wheeler Josiah Willard Gibbs 113).
8vo (245 x 156 mm). 32 pp. Original printed wrappers. Extremities with some chipping, lower right corner of front wrapper bent and professionally repaired; closed tear to lower portion of spine, lower corners chipped off of back wrapper; internally fine and unopened.
FIRST EDITION of this important offprint, of which only 276 copies were printed. It contains Gibbs' address given while Vice President of the AAAS. "The great merit and power of Grassman's system, as set forth in Gibbs' address, lies in its generality and inclusiveness. It is in the recognition of different kinds of products that Grassman's system differs most radically from the multiple algebras of the others, such as those of Hamilton and Pierce. And it was in connection with this concept of a plurality of multiplications that Gibbs founded his principal contributions to the subject. The development of the dyadic analysis undoubtedly forms Gibbs' most significant contribution to multiple algebra. His recognition of the key position of the indeterminate product in the Grassmanian system and its relation to the theory of matrices as well as his demonstration that both the algebraic and the external of combinatorial products could be derived from the indeterminate product, was an original contribution of great value" (Wheeler Josiah Willard Gibbs 113).