An introduction to mathematics, by A. N. Whitehead.

252 BIBLIOGRAPHY
able to master it as a whole. The science has grown to
such vast proportions that probably no living mathematician can claim to have achieved this.
Passing to the serious treatises on the subject to be read
after this preliminary course, the following may be mentioned: Cremona's Pure Geometry (English Translation,
Clarendon Press, Oxford), Hobson's Treatise on Trigonometry, Chrystal's Treatise on Algebra (2 volumes), Salmon's
Conic Sections, Lamb's Differential Calculus, and some
book on Differential Equations. The student will probably
not desire to direct equal attention to all these subjects, but
will study one or more of them, according as his interest
dictates. He will then be prepared to select more advanced works for himself, and to plunge into thehigher
parts of the subject. If his interest lies in analysis, he
should now master an elementary treatise on the theory
of Fractions or the Complex Variable; if he prefers to
specialize in Geometry, he must now proceed to the
standard treatises on the Analytical Geometry of three
dimensions. But at this stage of his career in learning
he will not require the advice of this note.
1 have deliberately refrained from mentioning any
elementary works. They are very numerous, and of
various merits, but none of such outstanding superiority
as to require special mention by name to the exclusion of
all the others.