diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index e7ec789..cc1ae45 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -7,12 +7,14 @@ on:
       - ".github/workflows/ci.yml"
       - "fpm.toml"
       - "**.f90"
+      - "CMakelists.txt"
 
   pull_request:
     paths:
       - ".github/workflows/ci.yml"
       - "fpm.toml"
       - "**.f90"
+      - "CMakelists.txt"
 
 jobs:
 
@@ -21,20 +23,24 @@ jobs:
     runs-on: ubuntu-latest
     steps:
     - uses: actions/checkout@v4
+    - name: CMake Configure
+      run: cmake -B build -S . -DCMAKE_BUILD_TYPE=Debug
     - name: Compile
-      run: cmake -DCMAKE_BUILD_TYPE=Debug -DSERIAL=1 . && make
+      run: cmake --build build
     - name: Test
-      run: make test
+      run: ctest --test-dir build
 
   gnu-cmake-release:
     name: gnu-cmake-release
     runs-on: ubuntu-latest
     steps:
     - uses: actions/checkout@v4
+    - name: CMake Configure
+      run: cmake -B build -S . -DCMAKE_BUILD_TYPE=Release
     - name: Compile
-      run: cmake -DCMAKE_BUILD_TYPE=Release -DSERIAL=1 . && make
+      run: cmake --build build
     - name: Test
-      run: make test
+      run: ctest --test-dir build
 
   gnu-fpm-debug:
     name: gnu-fpm-debug
diff --git a/CMakeLists.txt b/CMakeLists.txt
index 0340d6b..490f7ff 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -54,16 +54,25 @@ add_library(neural-fortran
 )
 
 target_link_libraries(neural-fortran PRIVATE)
+set_target_properties(neural-fortran PROPERTIES Fortran_MODULE_DIRECTORY ${CMAKE_CURRENT_BINARY_DIR}/include)
 
 install(TARGETS neural-fortran)
 
+# Install the module files
+install(DIRECTORY ${CMAKE_CURRENT_BINARY_DIR}/include/ DESTINATION include)
+
+# Also install the cmake/Findneural-fortran.cmake file
+install(FILES cmake/Findneural-fortran.cmake DESTINATION include/cmake/neural-fortran)
+
 # Remove leading or trailing whitespace
 string(REGEX REPLACE "^ | $" "" LIBS "${LIBS}")
 
 if(${PROJECT_NAME}_BUILD_TESTING)
+  message(STATUS "Building tests")
   add_subdirectory(test)
 endif()
 
 if(${PROJECT_NAME}_BUILD_EXAMPLES)
+  message(STATUS "Building examples")
   add_subdirectory(example)
 endif()
diff --git a/README.md b/README.md
index d5bc86e..7e3a444 100644
--- a/README.md
+++ b/README.md
@@ -183,17 +183,31 @@ find or fetch an installation of this project while configuring your project. Th
 module makes sure that the `neural-fortran::neural-fortran` target is always generated regardless
 of how the neural-fortran is included in the project.
 
-You can configure neural-fortran by setting the appropriate options before
-including the subproject.
+First, either copy `Findneural-fortran.cmake` to, say, your project's `cmake` directory
+and then include it in your `CMakeLists.txt` file:
+
+```cmake
+list(APPEND CMAKE_MODULE_PATH "${CMAKE_CURRENT_SOURCE_DIR}/cmake")
+```
+or use the `CMAKE_MODULE_PATH` variable to point to the directory where it is installed.
+
+Next you need to set `neural-fortran_ROOT_DIR` to the directory where neural-fortran is installed
+such that `neural-fortran_ROOT_DIR/lib/libneural-fortran.a` exists.
 
 The following should be added in the CMake file of your directory:
 
 ```cmake
-if(NOT TARGET "neural-fortran::neural-fortran")
-  find_package("neural-fortran" REQUIRED)
+if(NOT TARGET neural-fortran::neural-fortran)
+  find_package(neural-fortran REQUIRED)
 endif()
 ```
 
+and then to use the target in your project:
+
+```cmake
+target_link_libraries(your_target PRIVATE neural-fortran::neural-fortran)
+```
+
 ## Examples
 
 The easiest way to get a sense of how to use neural-fortran is to look at
diff --git a/cmake/Findneural-fortran.cmake b/cmake/Findneural-fortran.cmake
index 4fe8721..857df3e 100644
--- a/cmake/Findneural-fortran.cmake
+++ b/cmake/Findneural-fortran.cmake
@@ -1,179 +1,31 @@
-# SPDX-Identifier: MIT
-# Based on https://github.com/fortran-lang/stdlib-cmake-example
-
-#[[.rst:
-Find neural-fortran
--------------------
-
-Makes the neural-fortran library project available.
-
-Imported Targets
-^^^^^^^^^^^^^^^^
-
-This module provides the following imported target, if found:
-
-``neural-fortran::neural-fortran``
-  The neural-fortran library
-
-
-Result Variables
-^^^^^^^^^^^^^^^^
-
-This module will define the following variables:
-
-``NEURAL-FORTRAN_FOUND``
-  True if the neural-fortran library is available
-
-``NEURAL-FORTRAN_SOURCE_DIR``
-  Path to the source directory of the neural-fortran library project,
-  only set if the project is included as source.
-
-``NEURAL-FORTRAN_BINARY_DIR``
-  Path to the binary directory of the neural-fortran library project,
-  only set if the project is included as source.
-
-Cache variables
-^^^^^^^^^^^^^^^
-
-The following cache variables may be set to influence the library detection:
-
-``NEURAL-FORTRAN_FIND_METHOD``
-  Methods to find or make the project available. Available methods are
-  - ``cmake``: Try to find via CMake config file
-  - ``pkgconf``: Try to find via pkg-config file
-  - ``subproject``: Use source in subprojects directory
-  - ``fetch``: Fetch the source from upstream
-
-``NEURAL-FORTRAN_DIR``
-  Used for searching the CMake config file
-
-``NEURAL-FORTRAN_SUBPROJECT``
-Directory to find the neural-fortran library subproject, relative to the project root
-
-#]]
-
-set(_lib "neural-fortran")
-set(_pkg "NEURAL-FORTRAN")
-set(_url "https://github.com/modern-fortran/neural-fortran.git")
-
-if(NOT DEFINED "${_pkg}_FIND_METHOD")
-  if(DEFINED "${PROJECT_NAME}-dependency-method")
-    set("${_pkg}_FIND_METHOD" "${${PROJECT_NAME}-dependency-method}")
-  else()
-    set("${_pkg}_FIND_METHOD" "cmake" "pkgconf" "subproject" "fetch")
-  endif()
-  set("_${_pkg}_FIND_METHOD")
-endif()
-
-foreach(method ${${_pkg}_FIND_METHOD})
-  if(TARGET "${_lib}::${_lib}")
-    break()
-  endif()
-
-  if("${method}" STREQUAL "cmake")
-    message(STATUS "${_lib}: Find installed package")
-    if(DEFINED "${_pkg}_DIR")
-      set("_${_pkg}_DIR")
-      set("${_lib}_DIR" "${_pkg}_DIR")
-    endif()
-    find_package("${_lib}" CONFIG)
-    if("${_lib}_FOUND")
-      message(STATUS "${_lib}: Found installed package")
-      break()
-    endif()
-  endif()
-
-  if("${method}" STREQUAL "pkgconf")
-    find_package(PkgConfig QUIET)
-    pkg_check_modules("${_pkg}" QUIET "${_lib}")
-    if("${_pkg}_FOUND")
-      message(STATUS "Found ${_lib} via pkg-config")
-
-      add_library("${_lib}::${_lib}" INTERFACE IMPORTED)
-      target_link_libraries(
-        "${_lib}::${_lib}"
-        INTERFACE
-        "${${_pkg}_LINK_LIBRARIES}"
-        )
-      target_include_directories(
-        "${_lib}::${_lib}"
-        INTERFACE
-        "${${_pkg}_INCLUDE_DIRS}"
-        )
-
-      break()
-    endif()
-  endif()
-
-  if("${method}" STREQUAL "subproject")
-    if(NOT DEFINED "${_pkg}_SUBPROJECT")
-      set("_${_pkg}_SUBPROJECT")
-      set("${_pkg}_SUBPROJECT" "subprojects/${_lib}")
-    endif()
-    set("${_pkg}_SOURCE_DIR" "${PROJECT_SOURCE_DIR}/${${_pkg}_SUBPROJECT}")
-    set("${_pkg}_BINARY_DIR" "${PROJECT_BINARY_DIR}/${${_pkg}_SUBPROJECT}")
-    if(EXISTS "${${_pkg}_SOURCE_DIR}/CMakeLists.txt")
-      message(STATUS "Include ${_lib} from ${${_pkg}_SUBPROJECT}")
-      add_subdirectory(
-        "${${_pkg}_SOURCE_DIR}"
-        "${${_pkg}_BINARY_DIR}"
-      )
-
-      add_library("${_lib}::${_lib}" INTERFACE IMPORTED)
-      target_link_libraries("${_lib}::${_lib}" INTERFACE "${_lib}")
-
-      # We need the module directory in the subproject before we finish the configure stage
-      if(NOT EXISTS "${${_pkg}_BINARY_DIR}/mod_files")
-        make_directory("${${_pkg}_BINARY_DIR}/mod_files")
-      endif()
-
-      break()
-    endif()
-  endif()
-
-  if("${method}" STREQUAL "fetch")
-    message(STATUS "Retrieving ${_lib} from ${_url}")
-    include(FetchContent)
-    FetchContent_Declare(
-      "${_lib}"
-      GIT_REPOSITORY "${_url}"
-      GIT_TAG "HEAD"
-      )
-    FetchContent_MakeAvailable("${_lib}")
-
-    add_library("${_lib}::${_lib}" INTERFACE IMPORTED)
-    target_link_libraries("${_lib}::${_lib}" INTERFACE "${_lib}")
-
-    # We need the module directory in the subproject before we finish the configure stage
-    FetchContent_GetProperties("${_lib}" SOURCE_DIR "${_pkg}_SOURCE_DIR")
-    FetchContent_GetProperties("${_lib}" BINARY_DIR "${_pkg}_BINARY_DIR")
-    if(NOT EXISTS "${${_pkg}_BINARY_DIR}/mod_files")
-      make_directory("${${_pkg}_BINARY_DIR}/mod_files")
-    endif()
-
-    break()
-  endif()
-
-endforeach()
-
-if(TARGET "${_lib}::${_lib}")
-  set("${_pkg}_FOUND" TRUE)
-else()
-  set("${_pkg}_FOUND" FALSE)
-endif()
-
-if(DEFINED "_${_pkg}_SUBPROJECT")
-  unset("${_pkg}_SUBPROJECT")
-  unset("_${_pkg}_SUBPROJECT")
-endif()
-if(DEFINED "_${_pkg}_DIR")
-  unset("${_lib}_DIR")
-  unset("_${_pkg}_DIR")
-endif()
-if(DEFINED "_${_pkg}_FIND_METHOD")
-  unset("${_pkg}_FIND_METHOD")
-  unset("_${_pkg}_FIND_METHOD")
+# Find the native neural-fortran includes and library
+#
+# neural-fortran_INCLUDE_DIRS - where to find nf.mod, etc.
+# neural-fortran_LIBRARIES - List of libraries when using neural-fortran.
+# neural-fortran_FOUND - True if neural-fortran found.
+#
+# To use neural-fortran_ROOT_DIR to specify the prefix directory of neural-fortran
+
+
+find_path(neural-fortran_INCLUDE_DIRS
+  NAMES nf.mod
+  HINTS ${neural-fortran_ROOT_DIR}/include ENV neural-fortran_INCLUDE_DIR)
+
+find_library(neural-fortran_LIBRARIES
+  NAMES neural-fortran
+  HINTS ${neural-fortran_ROOT_DIR}/lib ENV neural-fortran_LIB_DIR)
+
+include(FindPackageHandleStandardArgs)
+find_package_handle_standard_args(neural-fortran DEFAULT_MSG neural-fortran_LIBRARIES neural-fortran_INCLUDE_DIRS)
+
+mark_as_advanced(
+  neural-fortran_LIBRARIES
+  neural-fortran_INCLUDE_DIRS)
+
+if(neural-fortran_FOUND AND NOT (TARGET neural-fortran::neural-fortran))
+  add_library (neural-fortran::neural-fortran STATIC IMPORTED)
+  set_target_properties(neural-fortran::neural-fortran
+    PROPERTIES
+      IMPORTED_LOCATION ${neural-fortran_LIBRARIES}
+      INTERFACE_INCLUDE_DIRECTORIES ${neural-fortran_INCLUDE_DIRS})
 endif()
-unset(_lib)
-unset(_pkg)
-unset(_url)