The Mathematical Papers of Sir William Rowan Hamilton: Volume 4, Geometry, Analysis, Astronomy, Probability and Finite Differences, MiscellaneousCambridge University Press, 7. dets 2000 - 852 pages This fourth and final volume of The Collected Papers of Sir William Rowan Hamilton (1805 1865) contains three previously unpublished and important manuscripts, namely Systems of Rays and two lengthy letters to de Morgan (on definite integrals) and Hart (on anharmonic coordinates). In addition the volume contains reprinted papers on geometry, analysis, astronomy, probability and finite differences, as well as a collection of papers on various topics. A cumulative index for all three volumes is provided, as well as a CD containing all four volumes of the Collected Papers. |
Contents
Two Letters to Augustus de Morgan 1858 | 34 |
Letter to Hart on Anharmonic Coordinates 1860 | 179 |
On Symbolical Geometry 184649 | 431 |
On some new applications of Quaternions to Geometry 1849 | 501 |
On Anharmonic Coordinates 1860 | 507 |
On Geometrical Nets in Space 1861 | 516 |
Elementary Proof that Eight Perimeters of the Regular inscribed Poly | 562 |
communication | 564 |
The Comet 1832 | 673 |
On the Day of the Vernal Equinox at the time of the Council of Nice | 681 |
On Differences and Differentials of Functions of Zero 1831 | 701 |
On some investigations connected with the Calculus of Probabilities | 707 |
Address as Secretary of the Dublin Meeting of the British Association | 716 |
also On a new theory of varying orbits | 728 |
Address as President of the Royal Irish Academy on Professor Mac | 739 |
Notice of a singular appearance of the clouds observed on the 16th | 745 |
On a New System of Two General Equations of Curvature 1865 | 574 |
On the Error of a received principle of Analysis respecting Functions | 581 |
Supplementary Remarks on Fluctuating Functions 1842 | 631 |
On a mode of expressing Fluctuating or Arbitrary Functions by mathe | 640 |
On the Integrations of certain Equations 1854 | 647 |
On the Calculation of Numerical Values of a certain class of Multiple | 653 |
Introductory Lecture on Astronomy 1832 | 663 |
Address as President of the Royal Irish Academy on Mr Petries Paper | 752 |
Sir W Rowan Hamilton on the Elementary Conceptions of Mathematics | 762 |
Address to Academy of Sir W R Hamilton on Retiring from | 773 |
| 795 | |
| 801 | |
Common terms and phrases
A₁ Algebra Almagest angle anharmonic coordinates arbitrary arcs axes axis B₁ biquadratic equation bisecting C₁ calculation centre chord circle coefficients collinear common conic conjugate considered constant construction continued fraction converging corresponding cubic cubic equation curve cyclic cone cyclic plane deduced definite integral denote determined diverging series ellipsoid equal equation expression exscribed finite formula four function geometrical fractions give given point harmonic conjugates harmonic equations Hipparchus homology imaginary inscribed integral intersection involution Letter limits method namely notation pencil perpendicular points of inflexion positive present Quaternions quinary quotient rays real root refraction relation respecting right line Royal Irish Academy satisfy scalar sides spherical supposed surface symbols tangent theorem triangle ABC unit-line unit-point variable vector whence write