Hamilton

HAMILTON

The Mathematical papers of William Rowan Hamilton are available from the European Mathematical Society: http://www.emis.de/ at the link: http://www.emis.de/classics/Hamilton/index.html. These papers are also available from this site as well.

ON THE ARGUMENT OF ABEL, Transactions of the Royal Irish Academy, 18 (1839), pp. 171-259.
ON THE NATURE AND PROPERTIES OF THE ACONIC FUNCTION OF SIX VECTORS, Proceedings of the Royal Irish Academy, 5 (1853), p. 177-186.
ADDITIONAL APPLICATIONS OF THE THEORY OF ALGEBRAIC QUATERNIONS, Proceedings of the Royal Irish Academy, 3 (1847), Appendix, pp. li-lx.
THEOREMS RESPECTING ALGEBRAIC ELIMINATION, (Philosophical Magazine (3rd series): vol. viii (1836), pp. 538-543, vol. ix (1836), pp. 28-32.)
ON ANHARMONIC CO-ORDINATES, Proceedings of the Royal Irish Academy, 7 (1862), pp. 286{289, 329, 351-354.
ON A THEOREM IN THE CALCULUS OF DIFFERENCES, British Association Report, 1843, Part II, pp. 2-3.
ON EQUATIONS OF THE FIFTH DEGREE, Transactions of the Royal Irish Academy, 19 (1842), pp. 329-376.
ON THE PROPAGATION OF LIGHT IN VACUO AND IN CRYSTALS, British Association Report, 1838, Part II, pp. 2-6.
ON SOME INVESTIGATIONS CONNECTED WITH THE CALCULUS OF PROBABILITIES, British Association Report, 1843, Part II, pp. 3-4.
CALCULUS OF PRINCIPAL RELATIONS, British Association Report, 1836, Part II, pp. 41-44.
ON A THEORY OF QUATERNIONS, British Association Report, 1844, Part II, p. 2.
QUATERNION PROOF OF A THEOREM OF RECIPROCITY OF CURVES IN SPACE, British Association Report, 1862, Part II, p. 4.
ON A VIEW OF MATHEMATICAL OPTICS, British Association Report, Oxford 1832, pp. 545-547.
ON SOME RESULTS OF THE VIEW OF A CHARACTERISTIC FUNCTION IN OPTICS, British Association Report, Cambridge 1833, pp. 360-370.
ON THE APPLICATION TO DYNAMICS OF A GENERAL MATHEMATICAL METHOD PREVIOUSLY APPLIED TO OPTICS, British Association Report, Edinburgh 1834, pp. 513-518.
ON CONJUGATE FUNCTIONS, OR ALGEBRAIC COUPLES, British Association Report, Edinburgh 1834, pp. 519-523.
ON AN EXPRESSION FOR THE NUMBERS OF BERNOULLI, BY MEANS OF A DEFINITE INTEGRAL, AND ON SOME CONNECTED PROCESSES OF SUMMATION AND INTEGRATION, Philosophical Magazine, 23 (1843), pp. 360-367.
ON A THEOREM RELATING TO THE BINOMIAL COEFFICIENTS, Proceedings of the Royal Irish Academy, 9 (1867), pp. 297-302.
ON THE EXISTENCE OF A SYMBOLIC AND BIQUADRATIC EQUATION WHICH IS SATISFIED BY THE SYMBOL OF LINEAR OR DISTRIBUTIVE OPERATION ON A QUATERNION, Philosophical Magazine, 24 (1862), pp. 127-128.
ON THEOREMS OF CENTRAL FORCES, Proceedings of the Royal Irish Academy, 3 (1847), pp. 308-309.
ON A GENERAL METHOD OF EXPRESSING THE PATHS OF LIGHT, AND OF THE PLANETS, BY THE COEFFICIENTS OF A CHARACTERISTIC FUNCTION, Dublin University Review and Quarterly Magazine, 1 (1833), pp. 795-826.
ON THE COMPOSITION OF FORCES, Proceedings of the Royal Irish Academy, 2 (1844), pp. 166-168.
ON CONTINUED FRACTIONS IN QUATERNIONS, Philosophical Magazine (4th series): vol. iii (1852), pp. 371{373, vol. iv (1852), p. 303, vol. v (1853), pp. 117{118, 236{238, 321{326.)
ON A NEW SYSTEM OF TWO GENERAL EQUATIONS OF CURVATURE, Proceedings of the Royal Irish Academy, 9 (1867), pp. 302-305.
ON QUATERNIONS AND THE DETERMINATION OF THE DISTANCES OF ANY RECENTLY DISCOVERED COMET OR PLANET FROM THE EARTH, Proceedings of the Royal Irish Academy, 4 (1850), p. 75.
ON THE DOUBLE MODE OF GENERATION OF AN ELLIPSOID, Proceedings of the Royal Irish Academy, 4 (1850), p. 173.
ON THE CELEBRATED THEOREM OF DUPIN, Proceedings of the Royal Irish Academy, 6 (1858), pp. 86-88.
RESEARCHES ON THE DYNAMICS OF LIGHT, Proceedings of the Royal Irish Academy, 1 (1841), pp. 267-270.
ON THE APPLICATION OF THE METHOD OF QUATERNIONS TO SOME DYNAMICAL QUESTIONS, Proceedings of the Royal Irish Academy, 3 (1847), Appendix, pp. xxxvi-l.
ON AN EQUATION OF THE ELLIPSOID, Proceedings of the Royal Irish Academy, 4 (1850), p. 324-325.
ON THE EXISTENCE OF A SYMBOLIC AND BIQUADRATIC EQUATION, WHICH IS SATISFIED BY THE SYMBOL OF LINEAR OPERATION IN QUATERNIONS, Proceedings of the Royal Irish Academy, 8 (1864), pp. 190-191.
EXERCISES IN QUATERNIONS, The Cambridge and Dublin Mathematical Journal, 4 (1849), pp. 161-168.
ON SOME EXTENSIONS OF QUATERNIONS, Philosophical Magazine (4th series): vol. vii (1854), pp. 492{499, vol. viii (1854), pp. 125{137, 261{9, vol. ix (1855), pp. 46{51, 280-290.
ON FLUCTUATING FUNCTIONS, Proceedings of the Royal Irish Academy, 1 (1840), pp. 475-477
ON FLUCTUATING FUNCTIONS, Transactions of the Royal Irish Academy, 19 (1843), pp. 264-321.
ON THE FOCAL LENGTHS AND ABERRATIONS OF A THIN LENS OF UNIAXAL CRYSTAL, BOUNDED BY SURFACES WHICH ARE OF REVOLUTION ABOUT ITS AXIS, Philosophical Magazine, vol. 19 (1841), pp. 289-294.
ON A MODE OF DEDUCING THE EQUATION OF FRESNEL'S WAVE, Philosophical Magazine, 19 (1841), pp. 381-383.
SUPPLEMENT TO AN ESSAY ON THE THEORY OF SYSTEMS OF RAYS, Transactions of the Royal Irish Academy, vol. 16, part 1 (1830), pp. 1-61.
ON DIFFERENCES AND DIFFERENTIALS OF FUNCTIONS OF ZERO, Transactions of the Royal Irish Academy, 17 (1837), pp. 235-236.
ON SOME RESULTS OBTAINED BY THE QUATERNION ANALYSIS RESPECTING THE INSCRIPTION OF GAUCHE POLYGONS IN SURFACES OF THE SECOND ORDER, Proceedings of the Royal Irish Academy, 4 (1850), pp. 380-387.
ON GAUCHE POLYGONS IN CENTRAL SURFACES OF THE SECOND ORDER, Proceedings of the Royal Irish Academy, 4 (1850), pp. 541-557.
ON GAUCHE CURVES OF THE THIRD DEGREE, Proceedings of the Royal Irish Academy, 8 (1864), pp. 331-334.
ON A GENERAL CENTRE OF APPLIED FORCES, Proceedings of the Royal Irish Academy, 8 (1864), p. 394.
ON A GENERAL METHOD IN DYNAMICS, Philosophical Transactions of the Royal Society, part II for 1834, pp. 247-308.
A GENERALIZATION OF PASCAL'S THEOREM, Proceedings of the Royal Irish Academy, 5 (1853), p. 100-101.
ON THE GEOMETRICAL INTERPRETATION OF SOME RESULTS OBTAINED BY CALCULATION WITH BIQUATERNIONS, Proceedings of the Royal Irish Academy, 5 (1853), pp. 388-390.
ON THE GEOMETRICAL DEMONSTRATION OF SOME THEOREMS OBTAINED BY MEANS OF THE QUATERNION ANALYSIS, Proceedings of the Royal Irish Academy, 5 (1853), pp. 407-415.
ON GEOMETRICAL NETS IN SPACE, Proceedings of the Royal Irish Academy, 7 (1862), pp. 532-582.
THE HODOGRAPH, OR A NEW METHOD OF EXPRESSING IN SYMBOLICAL LANGUAGE THE NEWTONIAN LAW OF ATTRACTION, Proceedings of the Royal Irish Academy, 3 (1847), pp. 344-353.
ILLUSTRATIONS FROM GEOMETRY OF THE THEORY OF ALGEBRAIC QUATERNIONS, Proceedings of the Royal Irish Academy, 3 (1847), Appendix, pp. xxxi-xxxvi.
ON THE INSCRIPTION OF CERTAIN GAUCHE POLYGONS IN SURFACES OF THE SECOND DEGREE, Proceedings of the Royal Irish Academy, 4 (1850), p. 325-326.
ON THE INTEGRATIONS OF CERTAIN EQUATIONS, Proceedings of the Royal Irish Academy, 6 (1858), pp. 62-63.
ON A NEW AND GENERAL METHOD OF INVERTING A LINEAR AND QUATERNION FUNCTION OF A QUATERNION, Proceedings of the Royal Irish Academy, 8 (1864), pp. 182-183
ON THEOREMS OF HODOGRAPHIC AND ANTHODOGRAPHIC ISOCHRONISM, Proceedings of the Royal Irish Academy, 3 (1847), pp. 417, 465{466.)
INQUIRY INTO THE VALIDITY OF A METHOD RECENTLY PROPOSED BY GEORGE B. JERRARD, ESQ., FOR TRANSFORMING AND RESOLVING EQUATIONS OF ELEVATED DEGREES , British Association Report, Bristol 1836, pp 295-348.
ON THE APPLICATION OF THE CALCULUS OF QUATERNIONS TO THE THEORY OF THE MOON, Proceedings of the Royal Irish Academy, 3 (1847), pp. 507-521.
ON THE CALCULATION OF THE NUMERICAL VALUES OF A CERTAIN CLASS OF MULTIPLE AND DEFINITE INTEGRALS, Philosophical Magazine, 14 (1857), pp. 375-382.
MEMORANDUM RESPECTING A NEW SYSTEM OF ROOTS OF UNITY, Philosophical Magazine, 12 (1856), p. 446.
NOTE TO A PAPER ON THE ERROR OF A RECEIVED PRINCIPLE OF ANALYSIS, Transactions of the Royal Irish Academy, vol. 16, part 2, (1831), pp. 129-130.
ON QUATERNIONS, OR ON A NEW SYSTEM OF IMAGINARIES IN ALGEBRA, Philosophical Magazine, (1844-1850)
INVESTIGATIONS RESPECTING EQUATIONS OF THE FIFTH DEGREE, Proceedings of the Royal Irish Academy, 1 (1841), pp. 76-80.
ON A PROOF OF PASCAL'S THEOREM BY MEANS OF QUATERNIONS; AND ON SOME OTHER CONNECTED SUBJECTS, Proceedings of the Royal Irish Academy, 3 (1847), pp. 273-292.
ON THE UNDULATORY TIME OF PASSAGE OF LIGHT THROUGH A PRISM, Philosophical Magazine, 2 (1833), pp. 284-287.
ON A METHOD PROPOSED BY PROFESSOR BADANO FOR THE SOLUTION OF ALGEBRAIC EQUATIONS, Proceedings of the Royal Irish Academy, 2 (1844), pp. 275-276.
ELEMENTARY PROOF, THAT EIGHT PERIMETERS, OF THE REGULAR INSCRIBED POLYGON OF TWENTY SIDES, EXCEED TWENTY-FIVE DIAMETERS OF THE CIRCLE, Philosophical Magazine, 23 (1862), pp. 267-269.
SUR UN MEMOIRE DE M. PLANA, Correspondance Mathematique et Physique, tome 8 (1834), pp. 27-30.
NOTE ON MR. POTTER'S REPLY, Philosophical Magazine, 2 (1833), p. 371.
ON SOME EXTENSIONS OF QUATERNIONS, Proceedings of the Royal Irish Academy, 6 (1858), pp. 114-115.
ACCOUNT OF THE ICOSIAN CALCULUS, Proceedings of the Royal Irish Academy, 6 (1858), p. 415-416.
ON THE CONNEXION OF QUATERNIONS WITH CONTINUED FRACTIONS AND QUADRATIC EQUATIONS, Proceedings of the Royal Irish Academy, 5 (1853), pp. 219{221, 299-301.
ON THE EFFECT OF ABERRATION IN PRISMATIC INTERFERENCE, Philosophical Magazine, 2 (1833), pp. 191-194.
ON THE CALCULUS OF PROBABILITIES, Proceedings of the Royal Irish Academy, 2 (1844), pp. 420-422.
THEORY OF SYSTEMS OF RAYS, Transactions of the Royal Irish Academy, vol. 15 (1828), pp. 69-174.
THEORY OF CONJUGATE FUNCTIONS, OR ALGEBRAIC COUPLES; WITH A PRELIMINARY AND ELEMENTARY ESSAY ON ALGEBRA AS THE SCIENCE OF PURE TIME, Transactions of the Royal Irish Academy, vol. 17, part 1 (1837), pp. 293-422.
ON SOME QUATERNION EQUATIONS CONNECTED WITH FRESNEL'S WAVE SURFACE FOR BIAXAL CRYSTALS, Proceedings of the Royal Irish Academy, 7 (1862), pp. 122-124, 163.
COPY OF A LETTER FROM SIR WILLIAM R. HAMILTON TO JOHN T. GRAVES, ESQ. , Philosophical Magazine, 3rd series, 25 (1844), pp. 489-95.
ON A NEW SPECIES OF IMAGINARY QUANTITIES CONNECTED WITH A THEORY OF QUATERNIONS, Proceedings of the Royal Irish Academy, 2 (1844), 424-434.
ON QUATERNIONS, Proceedings of the Royal Irish Academy, 3 (1847), pp. 1-16.
ON THEOREMS RELATING TO SURFACES, OBTAINED BY THE METHOD OF QUATERNIONS, Proceedings of the Royal Irish Academy, 4 (1850), pp. 306-308.
ON CERTAIN DISCONTINUOUS INTEGRALS CONNECTED WITH THE DEVELOPMENT OF THE RADICAL WHICH REPRESENTS THE RECIPROCAL OF THE DISTANCE BETWEEN TWO POINTS, Philosophical Magazine, 20 (1842), pp. 288-294.
ON THE ERROR OF A RECEIVED PRINCIPLE OF ANALYSIS, RESPECTING FUNCTIONS WHICH VANISH WITH THEIR VARIABLES, Transactions of the Royal Irish Academy, vol. 16, part 1, (1830), pp. 63-64.
ADDITIONAL THEOREMS RESPECTING CERTAIN RECIPROCAL SURFACES, Proceedings of the Royal Irish Academy, 4 (1850), p. 192-193.
RESEARCHES RESPECTING QUATERNIONS: FIRST SERIES, Transactions of the Royal Irish Academy, vol. 21, part 1 (1848), pp. 199-296.
ON ROBER'S CONSTRUCTION OF THE HEPTAGON, Philosophical Magazine, 27 (1864), pp. 124-132.
ON QUATERNIONS AND THE ROTATION OF A SOLID BODY, Proceedings of the Royal Irish Academy, 4 (1850), pp. 38-56.
SECOND ESSAY ON A GENERAL METHOD IN DYNAMICS, Philosophical Transactions of the Royal Society, part I for 1835, pp. 95-144.
SECOND SUPPLEMENT TO AN ESSAY ON THE THEORY OF SYSTEMS OF RAYS, Transactions of the Royal Irish Academy, vol. 16, part 2 (1831), pp. 93-125.
ON THE SOLUTION OF THE EQUATION OF LAPLACE'S FUNCTIONS, Proceedings of the Royal Irish Academy, 6 (1858), pp. 181-185.
A THEOREM ON SPHERICAL QUADRILATERALS AND SPHERICAL CONICS, (Proceedings of the Royal Irish Academy, 3 (1847), p. 109.
ON A NEW METHOD OF INVESTIGATING THE RELATIONS OF SURFACES TO THEIR NORMALS, WITH RESULTS RESPECTING THE CURVATURES OF ELLIPSOIDS, Dublin University Review, July 1833, p. 583-584.
ON SYMBOLICAL GEOMETRY, The Cambridge and Dublin Mathematical Journal: vol. i (1846), pp. 45-57, 137-154,256-263, vol. ii (1847), pp. 47-52, 130-133, 204-209, vol. iii (1848), pp. 68-84, 220-225, vol. iv (1849), pp. 84-89, 105-118.
A THEOREM CONCERNING POLYGONIC SYNGRAPHY, Proceedings of the Royal Irish Academy, 5 (1853), p. 474-475.
ON A THEOREM RESPECTING ELLIPSOIDS, OBTAINED BY THE METHOD OF QUATERNIONS, Proceedings of the Royal Irish Academy, 4 (1850), pp. 349-350.
THIRD SUPPLEMENT TO AN ESSAY ON THE THEORY OF SYSTEMS OF RAYS, Transactions of the Royal Irish Academy, vol. 17, part 1 (1837), pp. 1-144.
RESEARCHES RESPECTING VIBRATION, CONNECTED WITH THE THEORY OF LIGHT, Proceedings of the Royal Irish Academy, 1 (1841), pp. 341-349.