Item 11.15 - 'Properties of Numbers. Notes by Sir F. Pollock L.C.B., including draft of a paper for Royal Society'

1 vol., c 261 x 220 x 45 mm. Tabbed alphabetical index; pp. 1-711; endpapers at front and back also used. 1 sheet loose between pp. 453-454; slip of paper pasted to p. 629

Gift of Sir William Frederick Pollock, 2nd Baronet (d. 1888, son of Sir Frederick Pollock) date unknown.

Entries in index: 'De Morgan - correspondence with - p. 1'; 'Differences of Squares - that compose the odd nos. 120'; Differences of Roots. 230'; 'Gradation - Series. 50'; 'Paper for Royal Society - p. 562'; 'Roots - changing roots by diminishing them till a+b-c-d+1. 300'; 'on the differences a Sum of Roots of 1, 3, 7, 13, 21 &c. 130'; 'Roots may always = 1. 320'; 'Properties of 3 Squares. 348. 'These Properties applied to the series 1 3 7 13 21 &c. 360'; 'Series - oon the Series 1, 3, 13 & c... 84'.

The first version of the title of the 'Paper for Royal Society', as given on p. 562, is 'On a method of proving by means of indices a limit within which any No. may be formed of the terms of certain series, including a proof of Fermat's Theorems of the Polygonal numbers'.