The Mathematical Papers of Sir William Rowan Hamilton: Volume 4, Geometry, Analysis, Astronomy, Probability and Finite Differences, MiscellaneousThis fourth and final volume of The Collected Papers of Sir William Rowan Hamilton (1805 1865) contains three previously unpublished and important manuscripts, namely Systems of Rays and two lengthy letters to de Morgan (on definite integrals) and Hart (on anharmonic coordinates).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. |
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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
already angle anharmonic appears application axes axis becomes calculation called centre chord circle coefficients combined common condition cone conic connected considered constant construction contains continued coordinates corresponding curve cyclic deduced denote determined direction equal equation example expression fact factors Figure finite five former formula four fractions function geometrical give given imaginary inscribed integral intersection known least length less Letter limits manner mean method namely nearly negative observe obtained particular pass pencil perhaps perpendicular plane positive present principles proved rays regarded relation remarks represented respecting roots Royal Irish Academy satisfy seen sides supposed surface symbols tangent theorem theory third thought touches triangle variable vector write
Bibliographic information
| Title | The Mathematical Papers of Sir William Rowan Hamilton: Volume 4, Geometry, Analysis, Astronomy, Probability and Finite Differences, Miscellaneous Issue 16 of Cunningham memoir Volume 4 of Mathematical papers, William Rowan Hamilton |
| Author | William Rowan Hamilton |
| Editor | B. K. P. Scaife |
| Edition | illustrated |
| Publisher | Cambridge University Press, 2000 |
| ISBN | 052159216X, 9780521592161 |
| Length | 842 pages |
| Subjects | › Mathematics / General Mathematics / History & Philosophy Medical / General Science / History |
| Export Citation | BiBTeX EndNote RefMan |