One of the best books on this topic is Rory Muir's Britain and the Defeat of Napoleon, 1807-1815 which covers the coordination of military, economic, and diplomatic forces Britain marshaled to defeat the French. If you're more interested in social history, David Andress's The Savage Storm: Britain on the Brink in the Age of Napoleon examines the stresses that fighting the war had on the British isles, which was already feeling the impact of early industrialization with its attendant social transformations.