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This fourth volume of the Mathematical Papers of Sir William Rowan Hamilton completes the project begun, in 1925 , by the instigators and ®rst Editors: Arthur William Conway (1875±1950) and John Lighton Synge (1897±1995). It contains Hamilton's published papers on geometry, analysis, astronomy, probability and ®nite differences, and a miscellany of publications including several addresses. There are also three previously unpublished manuscripts, namely: the, unfortunately incomplete, Third Part of the Systems of Rays, the earlier parts of which were published in Volume I; two letters to Augustus De Morgan, one devoted to de®nite integrals and the other to a third order differential equation; and a very long letter and. | THE MATHEMATICAL PAPERS OF SIR WILLIAM ROWAN HAMILTON Dunsink Observatory by W. B. Taylor Cunningham Memoir No. XVI THE MATHEMATICAL PAPERS OF SIR WILLIAM ROWAN HAMILTON VOL. IV GEOMETRY ANALYSIS ASTRONOMY PROBABILITY AND FINITE DIFFERENCES MISCELLANEOUS EDITED FOR THE ROYAL IRISH ACADEMY BY B. K. P. SCAIFE PH.D. D.Sc. ENG. M.RI.A. Fellow Emeritus Trinity College Dublin ill Cambridge 1 UNIVERSITY .
