## 13 February, 2016

### Linear Algebra

While linear algebra is, strictly speaking, a subject of algebra and not of analysis or
diﬀerential equations (which are, along with probability theory, the basic mathematical
tools used for studying quantitative ﬁnance), the theory of vector spaces is so fundamen-
tal to the modern formulation of either, that it is necessary to study it before proceeding
too far. Indeed, the theory has proven itself to be perhaps the most inﬂuential in unifying
signiﬁcant branches of modern mathematics
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