diff --git a/content/cauchy_goursat_theorem.html b/content/cauchy_goursat_theorem.html
index c841749..28924d1 100644
--- a/content/cauchy_goursat_theorem.html
+++ b/content/cauchy_goursat_theorem.html
@@ -371,7 +371,7 @@ <h2>Simply and multiply connected domains</h2>
               </p>
 
               <div class="theorem">
-                If a function $f$ is analytic throughout a simply simple connected domain $D,$ 
+                If a function $f$ is analytic throughout a simply connected domain $D,$ 
                 then
                 \[
                 \int_C f(z) \, dz = 0.
@@ -429,7 +429,7 @@ <h2>Simply and multiply connected domains</h2>
 
 
               <div class="corollary">
-                A function $f$ that is analytic throughout a simply simple connected domain $D$ 
+                A function $f$ that is analytic throughout a simply connected domain $D$ 
                 must have an antiderivative everywhere in $D.$
               </div>
 
diff --git a/content/logarithmic_function.html b/content/logarithmic_function.html
index 5e3158e..8f098fc 100644
--- a/content/logarithmic_function.html
+++ b/content/logarithmic_function.html
@@ -232,7 +232,7 @@ <h2>Branches of logarithms</h2>
                 </p>
 
                 <p>Now, let $\alpha$ be any real number. If we restrict the value of $\theta$ so that $\alpha &lt;
-                    \theta &lt; \alpha + 2n\pi$ , then the function
+                    \theta &lt; \alpha + 2\pi$ , then the function
                     </p><div class="scroll-wrapper">
                         \begin{eqnarray}\label{log3}
                     \log z=\ln r +i\theta \quad (r&gt; 0, \alpha &lt; \theta &lt; \alpha + 2\pi ),
@@ -576,4 +576,4 @@ <h2>Final remark</h2>
   <script async src="js/prism.js"></script>
 </body>
 
-</html>
\ No newline at end of file
+</html>