diff --git a/doc/tutorial.qbk b/doc/tutorial.qbk
index 71d25850..d7c0cfa9 100644
--- a/doc/tutorial.qbk
+++ b/doc/tutorial.qbk
@@ -121,7 +121,7 @@ __jam__
 file. Simply copy the file and tweak [^use-project boost] to where your
 boost root directory is and you're OK.
 
-The comments contained in the Jamrules file above should be sufficient
+The comments contained in the Jamroot file above should be sufficient
 to get you going.
 
 [h2 Running bjam]
diff --git a/include/boost/python/detail/unwind_type.hpp b/include/boost/python/detail/unwind_type.hpp
index f6cdab64..b81bf7c8 100644
--- a/include/boost/python/detail/unwind_type.hpp
+++ b/include/boost/python/detail/unwind_type.hpp
@@ -11,13 +11,15 @@
 
 namespace boost { namespace python { namespace detail {
 
-#ifndef _MSC_VER //if forward declared, msvc6.5 does not recognize them as inline
-// forward declaration, required (at least) by Tru64 cxx V6.5-042
+#if (!defined(_MSC_VER) || _MSC_VER >= 1915)
+// If forward declared, msvc6.5 does not recognize them as inline.
+// However, as of msvc14.15 (_MSC_VER 1915/Visual Studio 15.8.0) name lookup is now consistent with other compilers.
+// forward declaration, required (at least) by Tru64 cxx V6.5-042 and msvc14.15
 template <class Generator, class U>
 inline typename Generator::result_type
 unwind_type(U const& p, Generator* = 0);
 
-// forward declaration, required (at least) by Tru64 cxx V6.5-042
+// forward declaration, required (at least) by Tru64 cxx V6.5-042 and msvc14.15
 template <class Generator, class U>
 inline typename Generator::result_type
 unwind_type(boost::type<U>*p = 0, Generator* = 0);
@@ -83,7 +85,7 @@ struct unwind_helper<false>
 
 template <class Generator, class U>
 inline typename Generator::result_type
-#ifndef _MSC_VER
+#if (!defined(_MSC_VER) || _MSC_VER >= 1915)
 unwind_type(U const& p, Generator*)
 #else
 unwind_type(U const& p, Generator* = 0)
@@ -148,7 +150,7 @@ struct unwind_helper2<reference_to_pointer_>
 // why bother?
 template <class Generator, class U>
 inline typename Generator::result_type
-#ifndef _MSC_VER
+#if (!defined(_MSC_VER) || _MSC_VER >= 1915)
 unwind_type(boost::type<U>*, Generator*)
 #else
 unwind_type(boost::type<U>*p =0, Generator* =0)
diff --git a/include/boost/python/detail/wrap_python.hpp b/include/boost/python/detail/wrap_python.hpp
index 9fdb222c..13679dbb 100644
--- a/include/boost/python/detail/wrap_python.hpp
+++ b/include/boost/python/detail/wrap_python.hpp
@@ -47,6 +47,13 @@
 # endif
 #endif
 
+// pyconfig.h defines a macro with hypot name, what breaks libstdc++ math headers
+// that Python.h tries to include afterwards.
+#if defined(__MINGW32__)
+# include <cmath>
+# include <math.h>
+#endif
+
 # include <pyconfig.h>
 # if defined(_SGI_COMPILER_VERSION) && _SGI_COMPILER_VERSION >= 740
 #  undef _POSIX_C_SOURCE
@@ -83,6 +90,7 @@
 // than MSVC on Win32
 //
 #if defined(_WIN32) || defined(__CYGWIN__)
+
 # if defined(__GNUC__) && defined(__CYGWIN__)
 
 #  if defined(__LP64__)
@@ -145,12 +153,38 @@ typedef int pid_t;
 
 #endif // _WIN32
 
+#if defined(__GNUC__)
+# if defined(__has_warning)
+#  define BOOST_PYTHON_GCC_HAS_WREGISTER __has_warning("-Wregister")
+# else
+#  define BOOST_PYTHON_GCC_HAS_WREGISTER __GNUC__ >= 7
+# endif
+#else
+# define BOOST_PYTHON_GCC_HAS_WREGISTER 0
+#endif
+
+// Python.h header uses `register` keyword until Python 3.4
+#if BOOST_PYTHON_GCC_HAS_WREGISTER
+# pragma GCC diagnostic push
+# pragma GCC diagnostic ignored "-Wregister"
+#elif defined(_MSC_VER)
+# pragma warning(push)
+# pragma warning(disable : 5033)  // 'register' is no longer a supported storage class
+#endif
+
 #if PY_MAJOR_VERSION == 2 && PY_MINOR_VERSION == 2 && PY_MICRO_VERSION < 2
 # include <boost/python/detail/python22_fixed.h>
 #else
 # include <Python.h>
 #endif
 
+#if BOOST_PYTHON_GCC_HAS_WREGISTER
+# pragma GCC diagnostic pop
+#elif defined(_MSC_VER)
+# pragma warning(pop)
+#endif
+#undef BOOST_PYTHON_GCC_HAS_WREGISTER
+
 #ifdef BOOST_PYTHON_ULONG_MAX_UNDEFINED
 # undef ULONG_MAX
 # undef BOOST_PYTHON_ULONG_MAX_UNDEFINED