THE basis of the present elementary treatise on Applied Mathematics was formed by a manuscript written by my father; on his death the task devolved upon me of completing the work, and by various additions the original scope of the book has been considerably extended.
It is designed mainly for use in Schools and for various public examinations, and I am not without hope that the explanation of the principles of the subject herein contained is sufficiently detailed to render it valuable to private students who are not in a position to obtain much assistance from teachers.
I have adopted the arrangement, which is now generally approved, of considering successively kinematics, kinetics, and forces in equilibrium. The chief innovation is the introduction of a separate chapter on Graphical Statics. Throughout, the C.G.S. system has been treated side by side with the foot-lb.-sec. system.
A large number of worked-out examples has been added in illustration of every point of importance throughout the book. The most fundamental propositions have been treated in the most elementary manner consistent with giving valid proofs, most of them can be mastered by students whose geometrical knowledge does not extend beyond the first three books of Euclid, but in order to give completeness, trigonometrical methods have been added, usually in smaller type.
The works to which I am under chief obligation are Matter and Motion by the late Prof. Clerk Maxwell, and The Properties of Matter by Prof. Tait. I have also found Prof. Minchin's Hydrostatics and Elementary Hydrokinetics, and Prof. Hicks' Elementary Dynamics of assistance....