The Ph.D. degree is intended primarily for students who desire a career in research, advanced development, or teaching; for this type of work, a broad background in mathematics and the engineering sciences, together with intensive study and research experience in a specialized area, are the necessary requisites.
The degree of Doctor of Philosophy (Ph.D.) is conferred on candidates who have demonstrated to the satisfaction of their department or school
high attainment in a particular field of knowledge
and the ability to do independent investigation and present the results of such research.
They must satisfy the general requirements for advanced degrees, the program requirements specified by their departments, and the doctoral requirements for candidacy, as outlined in the Stanford Bulletin.