Preface

PART I. MANUSCRIPTS

Systems of Rays. Part Third

Two Letters to Augustus de Morgan (1858)

Letter to Hart on Anharmonic Coordinates (1860)

PART II. GEOMETRY

On Symbolical Geometry (1846-49)

[Cambridge and Dublin Mathematical Journal, 1, 45--57, 137--154, 256--263 (1846); 2, 47--52, 130--133, 204--209 (1847); 3, 68--84, 220--225 (1848); 4, 84--89, 105--118 (1849).]

On some new applications of Quaternios to Geometry (1849)

[British Association Report 1849, Part II., p. 1.]

On Polygons inscribed on a Surface of the Second Order (1850)

[British Association Report 1850, Part II., p. 2.]

Symbolical Extensions of Quaternions; and Geometrical Applications of Quaternions (1855)

[Proceddings of the Royal Irish Academy 6, 250, 260, 311, (1858).]

On a General Expression by Quaternions for Cones of the Third Order (1857)

[Proceedings of the Royal Irish Academy 6, 506, 512 (1858).]

On a certain harmonic property of the envelope of the chord connecting two corresponding points of the Hessian of a Cubic Cone (1857)

[Proceedings of the Royal Irish Academy 6, 524 (1858).]

On some applications of Quaternions to Cones of the Third Degree (1857)

[British Association Report 1857, Part II., p. 3.]

On Anharmonic Co-ordinates (1860)

[Proccedings of the Royal Irish Academy 7, 286--289, 329, 350--354 (1862).]

On Geometrical Nets in Space (1861)

[Proccedings of the Royal Irish Academy 7, 532--582 (1862).]

On Geometrical Nets in Space (1861)

[British Association Report 1861, Part II., p. 4.]

Elementary Proof that Eight Perimeters of the Regular inscribed Polygon of Twenty Sides exceed Twenty-five Diameters of the Circle (1862)

[Philosophical Magazine (4S), 23, 267-269 (1862).]

On the Locus of the Osculating Circle to a Curve in Space (1863)

[Proceedings of the Royal Irish Academy 8, 394 (1864).]

On the Eight Imaginary Umbilical Generatrices of a Central Surface of the Second Order (1864)

[Proceedings of the Royal Irish Academy 8, 471 (1864).]

On Rober's Construction of the Heptagon (1864)

[Philosophical Magazine (4S), 27, 124-132 (1864).]

On a New System of Two General Equations of Curvature (1865)

[Proceedings of the Royal Irish Academy 9, 302-305 (1867).]

PART III. ANALYSIS

On the Error of a received Principle of Analysis, respecting Functions which vanish with their Variables (1830)

[Transactions of the Royal Irish Academy 16, 63-64 (1831).]

Note on a Paper on the Error of a received Principle of Analysis (1831)

[Transactions of the Royal Irish Academy 16, 129-130 (1831).]

On Fluctuating Functions (1840)

[Proceedings of the Royal Irish Academy 1, 475-477 (1841).]

On Fluctuating Functions (1840)

[Transactions of the Royal Irish Academy 19, 264-321 (1843).]

Supplementary Remarks on Fluctuating Functions (1842)

[Proceedings of the Royal Irish Academy 2, 232-238 (1844). (Identical with pp. 317-321 of No. XXII.)]

New Demonstration of Fourier's theorem (1841)

[Proceedings of the Royal Irish Academy 2, 129 (1844).]

On certain discontinuous Integrals connected with the Development of the Radical which represents the Reciprocal distance between two Points (1842)

[Philosophical Magazine (3S), 20, 288-294 (1842).]

On a mode of expressing Fluctuating or Arbitrary Functions by mathematical formulae (1842)

[British Association Report 1842, Part II., p. 10.]

On an Expression for the Numbers of Bernoulli by means of a Definite Integral, and on some connected Processes of Summation and Integration (1843)

[Philosophical Magazine (3S), 13, 360-367 (1843).]

On the Integrations of certain Equations (1854)

[Proceedings of the Royal Irish Academy 6, 62-63 (1858).]

On the Solution of the Equation of Laplace's Functions (1855)

[Proceedings of the Royal Irish Academy 6, 181-185 (1858).]

On the Calculation of Numerical Values of a certain class of Multiple and Definite Integrals (1857)

[Philosophical Magazine (4S), 14, 375-382 (1857).]

PART IV. ASTRONOMY

Introductory Lecture on Astronomy (1832)

[Dublin University Review 1, 72-85 (1833).]

The Comet (1832)

[Dublin Penny Journal. 207, 208 (December 1832); and 223, 224 (January 1833).]

Review of Arago's work, ``The Comet'', translated by Colonel Charles Gold, London, 1833 (1833)

Dublin University Review 1, 365-372 (1833).]

On the Day of the Vernal Equinox at the time of the Council of Nice (1842)

[Proceedings of the Royal Irish Academy 2, 249-250 (1844).]

On approximating to the calculation of Eclipses (1844)

[Proceedings of the Royal Irish Academy 2, 597 (1844).]

On the New Planet. Metis (1848)

[Proceedings of the Royal Irish Academy 4, 169 (1850).]

Remarks, chiefly Astronomical, on what is known as the Problem of Hipparchus (1855)

[Hermathena (Dublin) 4, 480-506 (1883).]

PART V: PROBABILITY AND FINTTE DIFFERENCES

On Differences and Differentials of Functions of Zero (1831)

[Transactions of the Royal Irish Academy 17, 235-236 (1830). Translation in Quetelet's Correspondance Mathematique et Physique 8, 235-237 (1834).]

On a Theorem in the Calculus of Differences (1843)

[British Association Report 1843, Part II., pp. 2-3.]

On the Calculus of Probabilities (1843)

[Proceedings of the Royal Irish Academy 2, 420-422 (1844).]

On some investigations connected with the Calculus of Probabilities (1843)

[British Association Report 1843. Part II., pp. 3-4.]

PART VI. MISCELLANEOUS

On the double refraction of light according to the principles of Fresnel (Review of two scientific memoirs of James MacCullagh B.A.) (1830)

[National Magazine 1, pp. 145-149. Dublin. August 1830.]

Address as Secretary of the Dublin Meeting of the British Association (1835)

[British Association Report 1835, pp. xli-lvi.]

On a new theory of Logologues: also On a new theory of varying orbits; and Explanation of the method of investigation pursued by Mr G.B. Jerrard for accomplishing the solution of equations of the fifth and of higher degrees (1835)

[British Association Report 1835, Part II., p.7.]

New Application of the Calculus of Principal relations; and Exposition of Mr. Turner's theorem respecting the series of odd numbers, and the cubes and other powers of the natural numbers (1837)

[British Association Report 1837, Part II., p. 1.]

Inaugural Address as President of the Royal Irish Academy (1838)

[Proceedings of the Royal Irish Academy 1, 107-120 (1841).]

Address as President of the Royal Irish Academy on Professor Mac-Cullagh's Paper on the Laws of Crystalline Reflexion and Refraction (1838)

[Proceedings of the Royal Irish Academy 1, 212-221 (1841).]

Notice of a singular appearance of the clouds observed on the 16th of December, 1838 (1839)

[Proceedings of the Royal Irish Academy 1, 249 (1841).]

Address as President of the Royal Irish Academy on Dr. Apjohn's researches on the Specific Heat of Gases (1839)

[Proceedings of the Royal Irish Academy 1, 276-284 (1841).]

Address as President of the Royal Irish Academy on Mr. Petrie's Paper on the History and Antiquities of Tara Hill (1839)

[Proceedings of the Royal Irish Academy 1, 350-354 (1841).]

On Dr. Robinson's Table of Mean Refractions (1843)

[Proceedings of the Royal Irish Academy 2, 400-401 (1844).]

Address as President of the Royal Irish Academy on Dr. Kane's Researches on the Natural of Ammonia (1839)

[Proceedings of the Royal Irish Academy 2, 411-419 (1844).]

Sir W. Rowan Hamiltion on the Elementary Conceptions of Mathematics (Seven Letters to Viscount Adare (March and April, 1835))

[Hermathena (Dublin) 3, 469-489 (1879).]

Address to Academy of Sir W.R. Hamilton on Retiring from the Presidency (1846)

[Proceedings of the Royal Irish Academy 3, 199-201 (1846).]

Obituary Notice of Sir W.R. Hamilton (1865)

[Proceedings of the Royal Irish Academy 9, 383 (1867).]

List of the works of Sir William Rowan Hamilton in approximate Chronological order

Index for this volume

Combined index for all four volumes