PREFACE TO THE FIRST EDITION. 
In the following exposition of the Calculus of Finite Dif 
ferences; particular attention has been paid to the connexion 
of its methods with those of the Differential Calculus—a 
connexion which in some instances involves far more than 
a merely formal analogy. 
Indeed the work is in some measure designed as a sequel 
to my Treatise on Differential Equations. And it has been 
composed on the same plan. 
Mr Stirling, of Trinity College, Cambridge, has rendered 
me much valuable assistance in the revision of the proof- 
sheets. In offering him my best thanks for his kind aid, I 
am led to express a hope that the work will be found to be 
free from important errors. 
Qüekn’s College, Cork, 
April 18, 1860. 
GEORGE BOOLE.