Hamilton W.R. The Mathematical Papers. Volume 2: Dynamics

Ed. A.W. Conway, A.J. McConnell. — Cambridge University Press, 1940. — 656 p.The second volume of the Mathematical Papers of Sir William Rowan Hamilton (1805-1865) is mainly devoted to dynamics but it was thought desirable to include in it Hamilton's Calculus of Principal Relations, which is a natural and obvious extension of his method of the principal function. The greater part of this volume is now appearing in print for the first time, the only papers previously published being his two famous essays on dynamics and a number of minor papers. A detailed description of the contents will be found in the Introduction.Dynamics of Material Bodies
Problem of Three Bodies by my Characteristic Function (1833) [Manuscript].
On a General Method in Dynamics; by which the Study of the Motions of all free Systems of attracting or repelling Points is reduced to the Search and Differentiation of one central Relation, or Characteristic Function (1834) [Phil. Trans. Roy. Soc. Part II for 1834, pp. 247-308].
Second Essay on a General Method in Dynamics (1835) [Phil. Trans. Roy. Soc. Part I for 1835, pp. 95-144].
On the Application to Dynamics of a General Mathematical Method previously applied to Optics (1834) [Brit. Assoc. Report, 1834, pp. 513-518].
On nearly Circular Orbits (1836) [Manuscript].
Theory of the Moon (1837) [Manuscript].
Correspondence with J. W. Lubbock (1837) [Manuscript].
On the Composition of Forces (1841) [Proc. Roy. Irish Acad. Vol. II (1840-44), pp. 166-168].
On Theorems of Central Forces (1846) [Proc. Roy. Irish Acad. Vol. III (1845-47), pp. 308, 309].
The Hodograph, or a new method of expressing in symbolical language the Newtonian Law of Attraction (1846) [Proc. Roy. Irish Acad. Vol. III (1845-47), pp. 344-353].
On Theorems of Hodographic and Anthodographic Isochronism (1847) [Proc. Roy. Irish Acad. Vol. III (1845-47), pp. 417, 465].
Calculus of Principal Relations
Calculus of Principal Relations (1836) [Manuscript].
Calculus of Principal Relations (1836) [Manuscript].
Calculus of Principal Relations. A new series of investigations (1836) [Manuscript].
Integration of Partial Differential Equations by the Calculus of Variations (1836) [Manuscript].
Calculus of Principal Relations (1836) [Brit. Assoc. Report, 1836, pp. 41-44].
Dynamics of Light
On the Propagation of Light in Crystals (1835-38) [Manuscript].
On the Propagation of Light in vacuo (1838) [Brit. Assoc. Report, 1838, pp. 2-6].
On the Propagation of Light in Crystals (1838) [Brit. Assoc. Report, 1838, p. 6].
Researches respecting Vibration connected with the Theory of Light (1839) [Manuscript].
Propagation of Motion in Elastic Medium—Discrete Molecules (1839) [Manuscript].
Researches on the Dynamics of Light (1839) [Proc. Roy. Irish Acad. Vol. I (1836-40), pp. 267-270].
Researches respecting Vibration connected with the Theory of Light (1839) [Proc. Roy. Irish Acad. Vol. I (1836-40), pp. 341-349].
Correspondence (1835-39) [Manuscript].
Editors' Appendix.