application dynamics general mathematical method von hamilton (2 Ergebnisse)

(22 x 14 cm). XLVIII, 700 S. Mit 1 mehrfach gefalteten gestochenen Tafel. Leinwandband um 1900. Zwei seltene erste Ausgaben. - "All of Hamilton's work in optics and dynamics depended on a single central idea, that of the characteristic function. It was the first of his two great 'discoveries.'. His algebraic couples consisted of all ordered pairs of real numbers, for which Hamilton defined rules of addition and multiplication. He then demonstrated that these couples constituted a commutative associative division algebra, and that they satisfied the rules for operations with complex numbers. For some mathematicians the theory of number couples was a more significant contribution to mathematics than the discovery of quaternions. This was a time of intense intellectual activity for Hamilton. He was deeply involved in the study of dynamics as well as the algebra of number couples" (DSB). - Exlibris. Gestempelt, Titel mit Perforationsstempel, sonst gut erhalten. - DSB 6, 85.

Hardcover. Zustand: Very Good. 1st Edition. First edition. 8vo. pp. [iii]-ix, [iv], [ix]-xlviii, 700, bound without half-title; one large folding plate with inset diagram and one engraved plate. both relating to other articles; minor spotting at front and rear, else very good in contemporary full calf, gilt, by Neil, Binder, Glasgow, contrasting labels to spine, a.e.g., slightly rubbed. This volume of reports from the fourth meeting of the BAAS contains two papers by Hamilton, the first of which is important for his summary of the analogy between mechanics and optics. Hamilton had been working on a function, known today as Hamilton s principal function, that translated treatments in optics to the equations of motion. The article sketches his findings, which were discussed in greater details in two contributions to the Philosophical Transactions. This volume of papers also contains a report on recent progress and the present state of zoology by Leonard Jenyns, and brief notes by Robert Brown (for whom Brownian motion is named), R. I. Murchison, Charles Lyell, and others.