# A quantum of science

In physics we do things and afterwards worry about whether they worked

## Hilbert spaces from the mathematician’s perspective

August 31, 2010

Posted by on Yesterday I came across these notes by Terence Tao on his blog for one of his Analysis courses at UCLA. They treat Hilbert spaces as part of mathematical analysis: a new perspective for those of us who first came across the topic while learning quantum mechanics. They’re embedded with exercises, and quite readable. Also, this is Tao, so they’re definitiely worth having a look at:

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