Pièce 11.14 - 'Theory of Numbers. Notes by Sir F. Pollock L.C.B.'

1 vol., c 255 x 220 x 35 mm. Tabbed alphabetical index, pp. 1-522.
2 large loose sheets.

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

Entries in index: 'on the connection of M W N & m n page 428'; 'on changing the sums of Square by altering the Root p 284'; '2nd Communication [to the Royal Society]', 298; 'Fermat's theorems. Paper for Royal Society p. 250'; 'on the gradation series, 338'; 'letter to Mr De Morgan proving that the two forms (a² + a + b² + c²)= (m² + m + n² + p² + p), 142'; 'Numbers - Forms of which make 4 sqr roots =1 etc tc, p 190'; 'Triangular nos p. 475'.

Other page headings not mentioned in the index include: 'on the division of odd nos into 4 square & other forms', p. 2; 'on Fermat's mysteries of numbers', p. 162. The title in full of the paper for the Royal Society which begins on p. 250 is 'On the first and second Theorems of Fermat relating to the polygonal numbers and on the forms not exceeding 4 into which odd numbers may be divided'.

Two large sheets dated 1867 and labelled 'Diagram no. 1' and 'Diagram no. 2'

Several papers by Pollock submitted to the Royal Society likely relate to these notes, including: Philosophical Transactions of the Royal Society of London Vol. 151 (1861), 'XXI. On Fermat's theorem of the polygonal numbers'; Vol. 158 (1868), 'XXV. On the mysteries of numbers alluded to by Fermat.—Second communication'.