diff --git a/src/python/README.md b/src/python/README.md
index be2f2bedf9cae7e4599d1559e926042026c512b2..5a4194b7cdfd31dc14fd85024d6ff2bb8f1a4fdd 100755
--- a/src/python/README.md
+++ b/src/python/README.md
@@ -1,7 +1,7 @@
-GRPC Python
+gRPC Python
 =========
 
-The Python facility of GRPC.
+The Python facility of gRPC.
 
 
 Prerequisites
@@ -13,8 +13,8 @@ Python 2.7, virtualenv, pip, libprotobuf-dev, and libprotoc-dev.
 Building from source
 ----------------------
 
-- Build the GRPC core
-E.g, from the root of the grpc [git repo](https://github.com/google/grpc)
+- Build the gRPC core from the root of the
+  [gRPC git repo](https://github.com/grpc/grpc)
 ```
 $ make shared_c static_c
 ```
@@ -28,7 +28,7 @@ $ tools/run_tests/build_python.sh
 Testing
 -----------------------
 
-- Use run_python.sh to run GRPC as it was installed into the virtual environment
+- Use run_python.sh to run gRPC as it was installed into the virtual environment
 ```
 $ tools/run_tests/run_python.sh
 ```