Added algebra_dm{1,2}, combinatorics, fourier, suites and topology_dm1

contents/combinatorics.tex

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+\langchapter{Combinatoire}{Combinatorics}
+%TODO Complete chapter
+
+\langsection{Formules}{Formulas}
+
+$\prod\limits_{k=1}^{n} k = 1 \times 2 \times 3 \times \cdots \times n = n!$
+
+$\prod\limits_{k=1}^{n} 2k = 2 \times 4 \times 6 \times \cdots \times 2n = 2^n n!$
+
+$\prod\limits_{k=1}^{n} (2k - 1) = 1 \times 3 \times 5 \times \cdots \times (2n + 1) = \frac{(2n + 1)!}{2^n n!}$
+
+$\sum\limits_{k=0}^n \binom{n}{k} = 2^n$
+
+$\binom{n}{k}=\left\{\begin{aligned} &\frac{n!}{k!(n - k)!} & & \text{si } k \in \discreteInterval{0,n} \\ &0 & &\text{sinon} \end{aligned}\right.$
+
+$\forall n \in \N,\forall k \in \Z, \binom{n}{n-k} = \binom{n}{k}$
+
+Formule de Pascal
+
+$\forall n \in \N, \forall k \in \Z, \binom{n}{k - 1} + \binom{n}{k} = \binom{n + 1}{k}$