Copy 2 of DOC - Caltechcampuspubs - California Institute of ...

The Institute is now prepared to offer competent students
advanced study and research in pure mathematics. Owing to the
exceptional status of the Institute in theoretical and mathematical
physics, it is expected that students specializing in mathematics
will desire to devote some of their attention to the modern applications
of mathematics, even when their first interest is in pure
mathematics, in order that they may acquire a well-rounded view
of the entire field. On the other hand, specialists in theoretical
physics will find much that is useful for their work in the advanced
courses in mathematics. It is one of the aims of the
mathematical department of the Institute to provide definitely
for such a liaison between pure and applied mathematics by the
addition of instructors whose training and interests have been
in both fields.
An effort will be made to guide research students in the direction
of their own interests and abilities. As enrollment at the
Institute is limited, it is possible for the staff to take -an individual
interest in the research students. In particular, students
wishing to pursue a line of research chosen by themselves will
be encouraged, and all will be advised to find the problem which
they wish to attack, since the discovery of significant solvable
problems is the initial difficulty in mathematical research. Those
who are not far enough advanced to find their own problems
will be assigned to investigation in the fields of work of members
of the staff. Teaching fellows and research associates in mathematics
are appointed, so that a considerable nucleus of research
workers is built up as in the other sections of the Institute.
Upon the completion of the prescribed graduate work in mathematics,
the degree of Doctor of Philosophy is awarded, and the
graduate may look forward to a career of teaching or of research.
In the larger universities teaching and research are ordinarily
combined, but academic advancement and freedom for research