Minor corrections.

diff --git a/README.txt b/README.txt
index e3d2001..31b4f98 100644 (file)
--- a/README.txt
+++ b/README.txt
@@ -1,6 +1,6 @@
 
 This mapping class is a usable example of a "sophisticated" symbolic
-mapping class in C++. Bascially it allows you to do things like :
+mapping class in C++. It allows you to do things like :
 
   // X will be the "identity mapping"
   Mapping X = Mapping::X;
@@ -8,21 +8,20 @@ mapping class in C++. Bascially it allows you to do things like :
   Mapping f;
   // Now contains some complex stuff
   f = sin(X * X - (X * 3.0) + 0.5);
-  // Display it
+  // Display its square
   cout << f*f << endl;
-  // fp will be the first derivative
+  // fp will be its first derivative
   Mapping fp = f.derivative();
-  // fs the second derivative
+  // fs its second derivative
   Mapping fs = fp.derivative();
   // Compute the second derivative at 5
   cout << fs(5.0) << endl;
 
-The best is to check the mappings.h to look at what functions and
-operators are available. It will be pretty easy to add your own
-operators.
+The best is to check the file mappings.h for the list of available
+functions and operators. It is pretty easy to add your own.
 
-The memory management is done in such a way that spurious copies are
-avoided and intermediate results will be deallocated correctly. So far
+The memory management is done in such a way that unnecessary copies
+are avoided and intermediate results are deallocated correctly. So far
 I never traced a memory leak, but feel free to report it if you find
 one.