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{\Large\bf Fundamental Theorems of Mathematics}
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Challenge yourself: figure out (or find out) \textbf{why} they are true
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\textbf{Fundamental Theorem of Arithmetic:}}
Every positive integer has a prime factorisation, 
unique up to the order of the factors

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\textbf{Fundamental Theorem of Algebra:}}
Every nonconstant polynomial over the field of 
complex numbers has at least one root

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\textbf{Fundamental Theorem of Calculus:}}
For every continuous function $f$ on an interval $[a,b]$
the function $g(x)=\int_a^x f(t)\,dt$ is an antiderivative
of $f$ on $(a,b)$

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\textbf{Fundamental Theorem of Linear Algebra:}}
The row space of a matrix is orthogonal to the nullspace 
of the matrix, and the dimensions add up to the number of columns of the matrix


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Fundamental Theorems --- 
Math Poster 2007 --- Peter Jipsen --- Chapman University --- math.chapman.edu
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