Mary Everest Boole 
Lectures on the Logic of Arithmetic [PDF ebook] 

Whilst the greatest effort has been made to ensure the quality of this text, due to the historical nature of this content, in some rare cases there may be minor issues with legibility. In the first place, though he knows a good deal about antithesis of Operations (e. G. He knows that subtraction is the opposite of addi tion, division of multiplication, movement in the direction minus m of movement in the direction as, and so on), he has not the habit of observing in What respects antithetic Operations neutralize each other, and in what respects they are cumulative; and surely no habit is more needed than this as preparation for making calculations in electricity or mechanics.