diff --git a/README.rst b/README.rst
index 76b3f77..2211b64 100644
--- a/README.rst
+++ b/README.rst
@@ -8,7 +8,7 @@ Bitshuffle is an algorithm that rearranges typed, binary data for improving
 compression, as well as a python/C package that implements this algorithm
 within the Numpy framework.
 
-The library can be used along side HDF5 to compress and decompress datasets and
+The library can be used alongside HDF5 to compress and decompress datasets and
 is integrated through the `dynamically loaded filters`_ framework. Bitshuffle
 is HDF5 filter number ``32008``.
 
@@ -88,7 +88,7 @@ Comparing Bitshuffle to other compression algorithms and HDF5 filters:
 - Bitshuffle should have roughly the same throughput as Shuffle, but
   may obtain higher compression ratios.
 - The MAFISC_ filter actually includes something similar to Bitshuffle as one of
-  its prefilters,  However, MAFICS's emphasis is on obtaining high compression
+  its prefilters.  However, MAFICS's emphasis is on obtaining high compression
   ratios at all costs, sacrificing throughput.
 
 .. _MAFISC: https://wr.informatik.uni-hamburg.de/research/projects/icomex/mafisc