<p>I’m a Princeton alumna and two of my children have attended Princeton. I normally don’t post on the Yale board (and I think that Yale is a wonderful school by the way), but I thought that I would give the OP my thoughts on the particular academic areas mentioned.</p>
<p>In terms of math, Princeton has long had one of the strongest math departments in the country (along with Harvard, the Courant Institute at NYU and MIT). According to the National Research Counsel ranking of graduate programs (and Princeton professors teach both graduate students and undergraduates), Princeton’s programs in both applied and pure math ranked number one in the country. In addition, Princeton has had more faculty and alumni win the Fields Medal than any other U.S. institution (Princeton has had nine Fields winners, Berkeley has had eight and Harvard and University of Chicago have had six each) and more graduates and faculty members who have won the Wolf Prize than any other institution. In addition, the last three winners of the Fermat Prize in Mathematics have been associated with Princeton.</p>
<p>Even more importantly, the faculty is approachable, the department is incredibly friendly and close-knit (tea is offered every afternoon at 3:30) and students are collaborative.</p>
<p>In terms of engineering, the Princeton engineering department is very strong (it is ranked 10th in the country by US News) and its graduates seem to do extremely well in the job market and in graduate school placement. Here’s a link to a page you can use to view job/graduate program outcomes of recent graduates [What</a> about my major?<em>«</em>Office of Career Services « Princeton University](<a href=“Search Opportunities | Human Resources”>Search Opportunities | Human Resources) And, just like other Princeton departments/majors, the engineering school offers generous project funding and close-knit relationships with professors and other students.</p>
<p>Good luck with your decision!</p>