The Mathematical Papers of Sir William Rowan Hamilton: Volume 4, Geometry, Analysis, Astronomy, Probability and Finite Differences, Miscellaneous

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Cambridge University Press, Dec 7, 2000 - Mathematics - 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fourth and final volume of The Collected Papers of Sir William Rowan Hamilton (1805 1865) contains three previously unpublished and important manuscripts, namely Systems of Rays and two lengthy letters to de Morgan (on definite integrals) and Hart (on anharmonic coordinates).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.
 

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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 Polygons inscribed on a Surface of the Second Order 1850
502
On Geometrical Nets in Space 1861
516
Elementary Proof that Eight Perimeters of the Regular inscribed Poly
562
communication
564
On a New System of Two General Equations of Curvature 1865
574
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 the double refraction of light according to the principles of Fresnel
711
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 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
on the History and Antiquities of Tara Hill 1839
752
Sir W Rowan Hamilton on the Elementary Conceptions of Mathematics
762
Address to Academy of Sir W R Hamilton on Retiring from
773
Index for this volume
795
Combined index for all four volumes
801
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