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<blockquote> <p>If your premise to assert that Harvard does not provide excellent math and science undergraduate education, you will fail. It is among the top schools in the world. <<</p> </blockquote>
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<p>Prof John Nash, the Nobel in Economics of "A Beautiful Mind" fame, and Princeton Professor in Economics, turned down Harvard for the study of his PhD in pure Math, in favor of Princeton, because he thought that Princeton had a better Math department at the time, populated by the world's greatest mathematicians. He also receivied financial aid from Princeton, which he didn't receive at Harvard. Please read the book by Sylvia Nasar.</p>
<p>Harvard is not the top school in the world in Applied Math, Applied Sciences and Engineering, or Computer Sciences. Many others rank above Harvard in these fields, notably MIT, CalTech, and UC Berkeley and many others, and even Carnegie-Mellon in Computer Science.</p>