Which 1805 campaign ended with General Mack surrendering an Austrian army?

The 1805 Ulm campaign ended with General Karl Mack surrendering an Austrian army. Napoleon’s French forces used rapid marches and a wide turning movement to surround Mack near Ulm before the main Russian army could reinforce Austria.

The campaign unfolded during the War of the Third Coalition. Austria had moved into Bavaria, expecting support from Russia, but Napoleon’s Grande Armée crossed the Rhine and wheeled around the Austrian position. French victories at locations including Elchingen and Memmingen progressively cut Mack’s communications and escape routes.

Mack capitulated at Ulm in October 1805, surrendering thousands of troops, artillery pieces, and standards. The campaign was strategically remarkable because Napoleon destroyed a major army largely through maneuver rather than one enormous pitched battle. It is often mixed up with the Battle of Ulm, which refers to the campaign’s climactic fighting and surrender, while “Ulm campaign” names the broader series of movements and engagements.